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Subject: Re: [isabelle] Isabelle2021-RC0: Java/VM monitor
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On 04/12/2020 23:56, Eugene W. Stark wrote:
> After attending Makarius' presentation earlier today, I tried to use the Java/VM monitor in Isabelle2021-RC0.
> Two issues arose:
> 
> 	Big issue: Could not convince JConsole to connect to the Isabelle/JEdit Java VM.  Local connection
> 	   failed.  JConsole documentation suggests that it should be possible for a user to connect to
> 	   local JVM instances that are running under the same user ID, but this did not seem to work.
> 	   SSH connections are not an option, because I do not enable password authentication via SSH and
> 	   there seems to be no provision for public key authentication.

How does this work in Isabelle2021-RC1?

The standard "jconsole" tool has some complexity and fragility in connecting
to processes (local or remote).

In
https://isabelle.sketis.net/repos/isabelle/file/Isabelle2021-RC1/src/Pure/Tools/java_monitor.scala
I have taken over more responsibility for the monitor, trying to make it more
robust.


> 	Smaller issue:  The "Help" link to the "Online User Guide" for JConsole is stale.  If I run JConsole
> 	   from shell level (this presumably does not run the version that is part of the Isabelle distribution),
> 	   then the same menu selection does not result in a stale link.

This is beyond my responsibility. The situation might change again with a
future version of OpenJDK.


	Makarius


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Subject: Re: [isabelle] Several questions about the availability of certain
	specific proof tools for classical reasoning/simplification in
	Isabelle/HOL
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It sounds like you=E2=80=99ve been able to combine your proof method =
with Isabelle2020 in order to create your category theory development. =
And a usable formalisation of category theory would be an impressive =
achievement.

Maybe the way forward is for you to complete your example and contribute =
it to the AFP. Material from AFP entries sometimes finds its way into =
the Isabelle sources, and a fully-worked example would give us a good =
basis for evaluating this idea.

Larry

> On 28 Dec 2020, at 16:05, Mikhail Chekhov =
<mikhail.chekhov.w at gmail.com> wrote:
>=20
> Indeed, I use this type of pattern quite frequently in my work. For =
example, I have introduced predicates that indicate that a given entity =
is a function from a to b. Also, similar predicates exist for =
injective/surjective/bijective functions and, even more generally, for =
various specific arrows in arbitrary categories.=20



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Subject: Re: [isabelle] Several questions about the availability of certain
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Dear Lawrence Paulson,


> It sounds like you=E2=80=99ve been able to combine your proof method with
> Isabelle2020 in order to create your category theory development. And a
> usable formalisation of category theory would be an impressive achievemen=
t.
> Maybe the way forward is for you to complete your example and contribute
> it to the AFP. Material from AFP entries sometimes finds its way into the
> Isabelle sources, and a fully-worked example would give us a good basis f=
or
> evaluating this idea.
>
>
Thank you for your email and your comments. I was going to make the main
part of this development available publicly from my own repository at the
beginning of this year (and make an announcement about it on the mailing
list at the same time). Also, indeed, I have plans for the submission of my
category theory development to the AFP (and some other work that I am doing
in Isabelle). However, for this particular project, it is unlikely that
this will happen in the near future: I do not consider this work to be
sufficiently mature for any type of "official" publication.

Given that I have already accidentally initiated the discussion about my
development, it may be a good idea to say a few words about it, as I have
not yet mentioned it on the mailing list explicitly. I formalize category
theory confined to/internalized in the type V from ZFC in HOL [1] by
parameterizing categories over the limit ordinals > =CF=89, whose sets of
objects/arrows are subsets of the relevant sets in the von Neumann
hierarchy (borrowing on some ideas from [2, 3]). Thus, to the best of my
knowledge, fundamentally, this work differs substantially from the
type-based formalization in Isabelle/HOL in Category1 [4] and Category3
[5], as well as from the 'hybrid' formalization chosen in Category2 [6]
(Category2 is still, primarily, type-based, but uses the type 'set' from
HOL/ZF [7] for the exposition of the category Set and related concepts).
The standard definition of a category that is used in this work is one of
the non-object free variants, similar to Category1 and Category2. From the
perspective of the 'main line of the development of category theory', the
content that I have formalized thus far is somewhere between Category2 and
Category3 (certainly, closer to Category3, though, as it includes some
material on universal constructions, limits and adjunctions). I guess, in
many ways, my development is similar to the main development line of
category theory in the Mizar proof assistant [8,9], but I am not
sufficiently familiar with it to be certain. However, the purpose and the
nature of the content may be somewhat different from the previous
developments in Isabelle (again, I can hardly comment on the development in
Mizar). Arguably, I try to put more emphasis on the applications and,
therefore, try to develop category theory as a tool for more applied
formalization work: something that can be occasionally combined in a manner
and style that is commonly used in the treatment of the subjects that rely
heavily on the tools from basic category theory in their exposition, but do
not, necessarily, attempt to advance the category theory itself.

---------------------------------------------------------------------------=
------------------------------

Nonetheless, the purpose of my questions in
https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2020-December/msg00038.=
html
has little to do with my work on the formalization of category theory.
Thus, most certainly, if anyone is aware of any references that provide a
description/analysis/implementation of the algorithms that I have outlined
in the aforementioned post, I would highly appreciate your advice.

Kind Regards,
Mikhail Chekhov

[1] L. C. Paulson. Zermelo Fraenkel Set Theory in Higher-Order Logic.
Archive of Formal Proofs. 2019.
https://www.isa-afp.org/browser_info/current/AFP/ZFC_in_HOL/document.pdf.
[2] M. A. Shulman, =E2=80=9CSet theory for category theory,=E2=80=9D arXiv:=
0810.1279
[math], 2008. [Online]. Available: http://arxiv.org/abs/0810.1279
[3] V. K. Rao. On Doing Category Theory within Set Theoretic Foundations.
In: Sica G, editor. What is Category Theory? Polimetrica s.a.s.; 2006.
[4] G. O=E2=80=99Keefe, =E2=80=9CCategory Theory to Yoneda=E2=80=99s Lemma,=
=E2=80=9D Archive of Formal
Proofs, 2005.
[5] E. W. Stark, =E2=80=9CCategory Theory with Adjunctions and Limits,=E2=
=80=9D Archive of
Formal Proofs, 2016.
[6] A. Katovsky, =E2=80=9CCategory Theory,=E2=80=9D Archive of Formal Proof=
s, 2010.
[7] S. Obua, =E2=80=9CPartizan Games in Isabelle/HOLZF,=E2=80=9D in Theoret=
ical Aspects of
Computing - ICTAC 2006, D. Hutchison, T. Kanade, J. Kittler, J. M.
Kleinberg, F. Mattern, J. C. Mitchell, M. Naor, O. Nierstrasz, C. Pandu
Rangan, B. Steffen, M. Sudan, D. Terzopoulos, D. Tygar, M. Y. Vardi, G.
Weikum, K. Barkaoui, A. Cavalcanti, and A. Cerone, Eds. Berlin: Springer,
2006, vol. 4281, pp. 272=E2=80=93286.
[8] =E2=80=9CAssociation of Mizar Users. Mizar home page.=E2=80=9D [Online]=
. Available:
http://mizar.org/
[9] C. Byliski, =E2=80=9CIntroduction to Categories and Functors,=E2=80=9D =
Formalized
Mathematics, vol. 1, no. \bf 2, pp. 409=E2=80=93420, 1990. [Online]. Availa=
ble:
http://fm.mizar.org/1990-1/pdf1-2/ cat_1.pdf

On Fri, Jan 1, 2021 at 6:29 PM Lawrence Paulson <lp15 at cam.ac.uk> wrote:

> It sounds like you=E2=80=99ve been able to combine your proof method with
> Isabelle2020 in order to create your category theory development. And a
> usable formalisation of category theory would be an impressive achievemen=
t.
>
> Maybe the way forward is for you to complete your example and contribute
> it to the AFP. Material from AFP entries sometimes finds its way into the
> Isabelle sources, and a fully-worked example would give us a good basis f=
or
> evaluating this idea.
>
> Larry
>
> > On 28 Dec 2020, at 16:05, Mikhail Chekhov <mikhail.chekhov.w at gmail.com>
> wrote:
> >
> > Indeed, I use this type of pattern quite frequently in my work. For
> example, I have introduced predicates that indicate that a given entity i=
s
> a function from a to b. Also, similar predicates exist for
> injective/surjective/bijective functions and, even more generally, for
> various specific arrows in arbitrary categories.
>
>

--000000000000da589805b7dc1ed6
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr">Dear Lawrence Paulson,<div></div><div><br></div><blockquot=
e class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px s=
olid rgb(204,204,204);padding-left:1ex"><br>It sounds like you=E2=80=99ve b=
een able to combine your proof method with Isabelle2020 in order to create =
your category theory development. And a usable formalisation of category th=
eory would be an impressive achievement.<br>Maybe the way forward is for yo=
u to complete your example and contribute it to the AFP. Material from AFP =
entries sometimes finds its way into the Isabelle sources, and a fully-work=
ed example would give us a good basis for evaluating this idea.<br><br></bl=
ockquote><div><br></div><div>Thank you for your email and your comments. I =
was going to make the main part of this development available publicly from=
 my own repository at the beginning of this year (and make an announcement =
about it on=C2=A0the mailing list at the same time). Also, indeed, I have p=
lans for the submission=C2=A0of my category theory development to the AFP (=
and some other work that I am doing in Isabelle). However, for this particu=
lar project, it is unlikely that this will happen in the near future: I do =
not consider this work to be sufficiently mature for any type of &quot;offi=
cial&quot; publication.=C2=A0</div><div><br></div><div>Given that I have al=
ready accidentally initiated the discussion about my development, it may be=
 a good idea to say a few words about it, as I have not yet mentioned it on=
 the mailing list explicitly. I formalize category theory confined to/inter=
nalized in the type V from ZFC in HOL [1] by parameterizing categories over=
 the limit ordinals &gt; =CF=89, whose sets of objects/arrows are subsets o=
f the relevant sets in the von Neumann hierarchy (borrowing on some ideas f=
rom [2, 3]). Thus, to the best of my knowledge, fundamentally, this work di=
ffers substantially from the type-based formalization in Isabelle/HOL in Ca=
tegory1 [4] and Category3 [5], as well as from the &#39;hybrid&#39;  formal=
ization chosen in Category2 [6] (Category2 is still, primarily, type-based,=
 but uses the type &#39;set&#39; from HOL/ZF [7] for the exposition of the =
category Set and related concepts). The standard definition of a category t=
hat is used in this work is one of the non-object free variants, similar to=
 Category1 and Category2. From the perspective of the &#39;main line of the=
 development=C2=A0of category theory&#39;, the content that I have formaliz=
ed thus far is somewhere between Category2 and Category3 (certainly, closer=
 to Category3, though, as it includes some material on universal constructi=
ons, limits and adjunctions). I guess, in many ways, my development is simi=
lar to the main development line of category theory in the Mizar proof assi=
stant [8,9], but I am not sufficiently familiar with it to be certain. Howe=
ver, the purpose and the nature of the content may be somewhat different fr=
om the previous developments in Isabelle (again, I can hardly comment on th=
e development in Mizar). Arguably, I try to put more emphasis on the applic=
ations and, therefore, try to develop category theory as a tool for more ap=
plied formalization work: something that can be occasionally combined in a =
manner and style that is commonly used in the treatment of the subjects tha=
t rely heavily on the tools from basic category theory in their exposition,=
 but do not, necessarily, attempt to advance the category theory itself.</d=
iv><div><br></div><div>----------------------------------------------------=
-----------------------------------------------------</div><div><br></div><=
div>Nonetheless, the purpose of my questions in=C2=A0<a href=3D"https://lis=
ts.cam.ac.uk/pipermail/cl-isabelle-users/2020-December/msg00038.html">https=
://lists.cam.ac.uk/pipermail/cl-isabelle-users/2020-December/msg00038.html<=
/a> has little to do with my work on the formalization of category theory. =
Thus, most certainly, if anyone is aware of any references that provide a d=
escription/analysis/implementation of the algorithms that I have outlined i=
n the aforementioned post, I would highly appreciate your advice.=C2=A0=C2=
=A0</div><div><br></div><div>Kind Regards,<br></div><div>Mikhail Chekhov</d=
iv><div><br></div><div><div><div><div>[1] L. C. Paulson. Zermelo Fraenkel S=
et Theory in Higher-Order Logic. Archive of Formal Proofs. 2019.=C2=A0<a hr=
ef=3D"https://www.isa-afp.org/browser_info/current/AFP/ZFC_in_HOL/document.=
pdf" target=3D"_blank">https://www.isa-afp.org/browser_info/current/AFP/ZFC=
_in_HOL/document.pdf</a>.<br></div></div></div><div>[2] M. A. Shulman, =E2=
=80=9CSet theory for category theory,=E2=80=9D arXiv:0810.1279 [math], 2008=
. [Online]. Available:=C2=A0<a href=3D"http://arxiv.org/abs/0810.1279" targ=
et=3D"_blank">http://arxiv.org/abs/0810.1279</a></div><div>[3] V. K. Rao. O=
n Doing Category Theory within Set Theoretic Foundations. In: Sica G, edito=
r. What is Category Theory? Polimetrica s.a.s.; 2006.=C2=A0</div></div><div=
>[4] G. O=E2=80=99Keefe, =E2=80=9CCategory Theory to Yoneda=E2=80=99s Lemma=
,=E2=80=9D Archive of Formal Proofs, 2005.</div><div>[5] E. W. Stark, =E2=
=80=9CCategory Theory with Adjunctions and Limits,=E2=80=9D Archive of Form=
al Proofs, 2016.</div><div>[6] A. Katovsky, =E2=80=9CCategory Theory,=E2=80=
=9D Archive of Formal Proofs, 2010.</div><div>[7]=C2=A0S. Obua, =E2=80=9CPa=
rtizan Games in Isabelle/HOLZF,=E2=80=9D in Theoretical Aspects of Computin=
g - ICTAC 2006, D. Hutchison, T. Kanade, J. Kittler, J. M. Kleinberg, F. Ma=
ttern, J. C. Mitchell, M. Naor, O. Nierstrasz, C. Pandu Rangan, B. Steffen,=
 M. Sudan, D. Terzopoulos, D. Tygar, M. Y. Vardi, G. Weikum, K. Barkaoui, A=
. Cavalcanti, and A. Cerone, Eds. Berlin: Springer, 2006, vol. 4281, pp. 27=
2=E2=80=93286.</div><div>[8] =E2=80=9CAssociation of Mizar Users. Mizar hom=
e page.=E2=80=9D [Online]. Available: <a href=3D"http://mizar.org/">http://=
mizar.org/</a></div><div>[9]=C2=A0C. Byliski, =E2=80=9CIntroduction to Cate=
gories and Functors,=E2=80=9D Formalized Mathematics, vol. 1, no. \bf 2, pp=
. 409=E2=80=93420, 1990. [Online]. Available: <a href=3D"http://fm.mizar.or=
g/1990-1/pdf1-2/">http://fm.mizar.org/1990-1/pdf1-2/</a> cat_1.pdf</div></d=
iv><br><div class=3D"gmail_quote"><div dir=3D"ltr" class=3D"gmail_attr">On =
Fri, Jan 1, 2021 at 6:29 PM Lawrence Paulson &lt;<a href=3D"mailto:lp15 at cam=
.ac.uk">lp15 at cam.ac.uk</a>&gt; wrote:<br></div><blockquote class=3D"gmail_q=
uote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,2=
04);padding-left:1ex">It sounds like you=E2=80=99ve been able to combine yo=
ur proof method with Isabelle2020 in order to create your category theory d=
evelopment. And a usable formalisation of category theory would be an impre=
ssive achievement.<br>
<br>
Maybe the way forward is for you to complete your example and contribute it=
 to the AFP. Material from AFP entries sometimes finds its way into the Isa=
belle sources, and a fully-worked example would give us a good basis for ev=
aluating this idea.<br>
<br>
Larry<br>
<br>
&gt; On 28 Dec 2020, at 16:05, Mikhail Chekhov &lt;<a href=3D"mailto:mikhai=
l.chekhov.w at gmail.com" target=3D"_blank">mikhail.chekhov.w at gmail.com</a>&gt=
; wrote:<br>
&gt; <br>
&gt; Indeed, I use this type of pattern quite frequently in my work. For ex=
ample, I have introduced predicates that indicate that a given entity is a =
function from a to b. Also, similar predicates exist for injective/surjecti=
ve/bijective functions and, even more generally, for various specific arrow=
s in arbitrary categories. <br>
<br>
</blockquote></div>

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To: Lawrence Paulson <lp15 at cam.ac.uk>
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Subject: Re: [isabelle] Several questions about the availability of certain
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Dear Lawrence Paulson/All,

On Fri, Jan 1, 2021 at 6:29 PM Lawrence Paulson <lp15 at cam.ac.uk> wrote:

>
> Maybe the way forward is for you to complete your example and contribute
> it to the AFP. Material from AFP entries sometimes finds its way into the
> Isabelle sources, and a fully-worked example would give us a good basis for
> evaluating this idea.
>
>
On Fri, Jan 1, 2021 at 9:55 PM Mikhail Chekhov <mikhail.chekhov.w at gmail.com>
wrote:

>
> However, for this particular project, it is unlikely that this will happen
> in the near future: I do not consider this work to be sufficiently mature
> for any type of "official" publication.
>
>
I would like to make one minor remark with regard to the last quoted
statement. The method that I was referring to in my original post (albeit,
for now, in a very rough zero-order form) is available from the, so-called,
Isabelle Complement Library (
https://gitlab.com/user9716869/Isabelle-Complement-Library). It is likely
that I will be looking to submit this library to the AFP in a reasonable
time frame as part of another project, not related to my work on the
formalization of category theory. Thus, I anticipate that it will be
possible to evaluate the idea related to the method fairly soon. However, I
would be extremely surprised if there was anything original about it: to
me, it seems like it combines rewriting and introduction in the simplest
and the most natural manner. Thus, I am still hopeful that a more mature
implementation of this algorithm is already available somewhere.

Kind Regards,
Mikhail Chekhov

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<div dir=3D"ltr"><div dir=3D"ltr">Dear Lawrence Paulson/All,<div><br></div>=
<div>On Fri, Jan 1, 2021 at 6:29 PM Lawrence Paulson &lt;<a href=3D"mailto:=
lp15 at cam.ac.uk" target=3D"_blank">lp15 at cam.ac.uk</a>&gt; wrote:<br></div><b=
lockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-le=
ft:1px solid rgb(204,204,204);padding-left:1ex"><br>Maybe the way forward i=
s for you to complete your example and contribute it to the AFP. Material f=
rom AFP entries sometimes finds its way into the Isabelle sources, and a fu=
lly-worked example would give us a good basis for evaluating this idea.<br>=
<br></blockquote><div><br></div><div>On Fri, Jan 1, 2021 at 9:55 PM Mikhail=
 Chekhov &lt;<a href=3D"mailto:mikhail.chekhov.w at gmail.com">mikhail.chekhov=
.w at gmail.com</a>&gt; wrote:</div><div><blockquote class=3D"gmail_quote" sty=
le=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);paddi=
ng-left:1ex"><br>However, for this particular project, it is unlikely that =
this will happen in the near future: I do not consider this work to be suff=
iciently mature for any type of &quot;official&quot; publication.=C2=A0<br>=
<br></blockquote><div><br></div><div>I would like to make one minor remark =
with regard to the last quoted statement. The method that I was referring t=
o in my original post (albeit, for now, in a very rough zero-order form) is=
 available from the, so-called, Isabelle Complement Library (<a href=3D"htt=
ps://gitlab.com/user9716869/Isabelle-Complement-Library">https://gitlab.com=
/user9716869/Isabelle-Complement-Library</a>). It is likely that I will be =
looking to submit this library to the AFP in a reasonable time frame as par=
t of another project, not related to my work on the formalization of catego=
ry theory. Thus, I anticipate that it will be possible to evaluate the idea=
 related to the method fairly soon. However, I would be extremely surprised=
 if there was anything original about it: to me, it seems like it combines =
rewriting and introduction in the simplest and the most natural manner. Thu=
s, I am still hopeful that a more mature implementation of this algorithm i=
s already available somewhere.=C2=A0</div><div><br></div><div>Kind Regards,=
</div><div>Mikhail Chekhov</div></div></div></div>

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From: Kawin Worrasangasilpa <kw448 at cam.ac.uk>
Date: Sat, 2 Jan 2021 08:23:13 +0000
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Subject: [isabelle] Cannot load theory when building
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Hi,

I am having a problem using Isabelle document preparation and curious if
this is common. One of the theories in this directory I want to create a
document for imports "HOL-Probability.Probability_Mass_Function". When I
used  command isabelle build -D, there is a following error message:

[image: Screenshot 2021-01-02 at 08.12.53.png]

This is Root file:

session alltheories = HOL +
  options [document = pdf, document_output = "output"]
theories [quick_and_dirty]
Forkable_Strings_Are_Rare
  document_files
    "root.tex"

I have checked on other theories that import other theories,
e.g., "~~/src/HOL/Library/Multiset", and the command works just fine.

Thank you,
Kawin

--0000000000000af25905b7e69263
Content-Type: text/html; charset="UTF-8"
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<div>Hi,<br></div><div dir=3D"auto"><div class=3D"gmail_quote" dir=3D"auto"=
><div dir=3D"ltr"><div><br></div><div>I am having a problem using Isabelle =
document preparation and curious=C2=A0if this is common. One of the theorie=
s in this directory I want to create a document for imports &quot;HOL-Proba=
bility.Probability_Mass_Function&quot;. When I used=C2=A0 command isabelle =
build -D, there is a following error message:</div><div><br></div><div><img=
 src=3D"cid:ii_kjffj7ff1" alt=3D"Screenshot 2021-01-02 at 08.12.53.png" sty=
le=3D"width:667px;max-width:100%"><br></div><div><br></div><div>This is Roo=
t file:</div><div><br></div><div>session alltheories =3D HOL + <br>=C2=A0 o=
ptions [document =3D pdf, document_output =3D &quot;output&quot;]<br>theori=
es [quick_and_dirty]<br>	Forkable_Strings_Are_Rare<br>=C2=A0 document_files=
<br>=C2=A0 =C2=A0 &quot;root.tex&quot;<br></div><div><br></div><div>I have =
checked on other theories that import other theories, e.g.,=C2=A0&quot;~~/s=
rc/HOL/Library/Multiset&quot;, and the command works just fine.=C2=A0</div>=
<div><br></div><div>Thank you,</div><div>Kawin</div><div><br></div>





</div>
</div></div>

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Subject: Re: [isabelle] Cannot load theory when building
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On 02/01/2021 09:23, Kawin Worrasangasilpa wrote:
> Hi,
> 
> I am having a problem using Isabelle document preparation and curious if this
> is common. One of the theories in this directory I want to create a document
> for imports "HOL-Probability.Probability_Mass_Function". When I used  command
> isabelle build -D, there is a following error message:
> 
> Screenshot 2021-01-02 at 08.12.53.png
> 
> This is Root file:
> 
> session alltheories = HOL +
>   options [document = pdf, document_output = "output"]
> theories [quick_and_dirty]
> Forkable_Strings_Are_Rare
>   document_files
>     "root.tex"

Just try this before 'theories':

  sessions "HOL-Probability"

> I have checked on other theories that import other theories,
> e.g., "~~/src/HOL/Library/Multiset", and the command works just fine. 

You should not "steal" theory files from other sessions like that. The proper
way is to import "HOL-Library.Multiset" and ensure that the cumulative import
session graph contains "HOL-Library".

NB: Isabelle2018 (August 2018) is really old, Isabelle2020 (April 2020) is
current, and we are approaching Isabelle2021 (February 2021).


	Makarius


	Makarius


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Subject: Re: [isabelle] quote in mixfix annotation
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On 06/10/2020 10:04, Walther Neuper wrote:
> From Isabelle2019 to Isabelle2020 there is a change in handling quotes
> in mixfix annotations (PS1).
> 
> Now, when updating our project to the new Isabelle version, this change
> breaks definitions of constants, which are named according to standard
> notation in structural engineering:   M⇩b   and   M⇩b'
> 
> Although I do not (yet) lookup the symbol tables directly, I see from an
> error message (PS2), that the parser fails with the two identifiers. The
> respective cut-down theory is attached. I couldn't make a clue from the
> isar-ref manual, so my question:
> 
> Is there a possibility to continue the standard notations for   M⇩b  
> and for   M⇩b'  , or should we let these from now on?
> 
> 
> PS1: NEWS
> 
> * Mixfix annotations may use "' " (single quote followed by space) to
> separate delimiters (as documented in the isar-ref manual), without
> requiring an auxiliary empty block. A literal single quote needs to be
> escaped properly. Minor INCOMPATIBILITY.

(This rather old thread appears to be still open.)

You merely need to escape the single quote within mixfix, i.e. using "b'' "
instead of former "b' ".


	Makarius


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Subject: Re: [isabelle] Issue with Isabelle/jEdit in fullscreen mode in
	macOS Big Sur
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On 16/11/2020 08:58, Norbert Schirmer via Cl-isabelle-users wrote:
> 
> Dear Isabelle Team,
> 
> There is some odd behaviour  of Isabelle / jEdit in macOS Big Sur. When using Isabelle / jEdit in fullscreen mode (via the green window-fullscreen toggle in the left-upper corner of the window, not View -> Toggle fullscreen mode), popup windows like the search window (Command - F) or the hypersearch results are now also presented in fullscreen (in Catalina they were presented as ordinary windows on top).
> 
> This does not only look odd, but also makes navigating hypersearch results impossible, as one switches back and forth between the editor view and the result view. Moreover, it is unclear how to close the hypersearch results again. Hope this can be resolved with the upcoming Isabelle2021.

That is a serious GUI problem. The OpenJDK guys still have no solution for it:
https://bugs.openjdk.java.net/browse/JDK-8256465

Maybe we can figure out some workaround in the coming weeks ... (I am open to
suggestions my macOS experts).


	Makarius


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Subject: Re: [isabelle] Question about "try" and future tasks
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On 19/11/2020 01:49, Eugene W. Stark wrote:
> I have been using a relatively recent snapshot version of Isabelle (Isabelle_04-Nov-2020).  This version
> does a rather better job of showing what is going on if the Monitor panel is raised.  That is good.
> 
> My question is: In certain situations, if I use "try" and let it crunch for awhile, I can arrive at
> a situation where there are perhaps 180K future tasks showing in the Monitor window.  I can sometimes
> then delete the "try" from the input buffer, but the future tasks remain and may take many minutes
> to clear.

Do you still see this in current Isabelle2021-RC1
https://isabelle.in.tum.de/website-Isabelle2021-RC1 ?

If yes, can you provide a reproducible example for such a situation?


	Makarius



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Subject: Re: [isabelle] Bug report Isabelle 2019 and Isabelle 2020
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On 21/11/2020 06:56, Peter Reitinger wrote:
> Hi,
> 
> sorry for recently reporting just confusing behavior because of
> polymorphism as a bug.
> 
> But this time, I am very sure to have observed a bug, if creation of a memory
> dump characterizes a bug. ;-)
> 
> First the screenshot:
> 
> image.png
> 
> The theory reproducing this bug is attached. The try at the end of the
> experimental proof (sorry about the mess there, I am still experimenting with
> Word & Co theories) produces the error.

Can you try this again with current Isabelle2021-RC1
https://isabelle.in.tum.de/website-Isabelle2021-RC1 ?

It will require to change the Word setup: the NEWS file contains some hints
about that.


	Makarius


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Subject: Re: [isabelle] Using LaTeX output print mode for source text
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On 09/12/2020 17:36, Manuel Eberl wrote:
> Is there any way to force Isabelle to  print source text (definitions,
> theorem statements, proofs, etc.) to LaTeX not the way it was typed, but
> with abbreviations?
> 
> I.e. if I define an abbreviation "|X| = card X" and I have
> 
> lemma "card X = 1"
> 
> I want the LaTeX output to show "|X|", not "card X".

In general, applying force is not going to work in the long run, and often
causes a lot of harm.


Isabelle2021 will have much more formal document markup in standard builds,
allowing better HTML presentation, for example.

At a later stage that might impact PDF document preparation as well, but it
might require a long time to get there.


Term abbreviations or notations are more difficult, and not part of existing
concepts so far.


	Makarius


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	<E9739FF5-1BD2-48B0-98D5-664A0FDDD5C0 at cam.ac.uk>
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Subject: Re: [isabelle] Several questions about the availability of certain
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Well, obviously auto and force combine rewriting and introduction, but =
not as I think you intend (to support conditional rewriting).

Larry

> On 1 Jan 2021, at 21:44, Mikhail Chekhov <mikhail.chekhov.w at gmail.com> =
wrote:
>=20
> However, I would be extremely surprised if there was anything original =
about it: to me, it seems like it combines rewriting and introduction in =
the simplest and the most natural manner. Thus, I am still hopeful that =
a more mature implementation of this algorithm is already available =
somewhere.=20
>=20



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Subject: [isabelle] Bootstrap problem in Isabelle2021-RC1: Consumer thread
	failure: "Isabelle.Session.manager"
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From: Florian Haftmann <florian.haftmann at informatik.tu-muenchen.de>
To: Isabelle-Users Mailinglist <isabelle-users at cl.cam.ac.uk>
Message-ID: <0dd132cb-a367-35be-66d7-f87aa02a55ee at informatik.tu-muenchen.de>
Subject: Bootstrap problem in Isabelle2021-RC1: Consumer thread failure:
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Starting from a plain mercurial checkout:

$ isabelle build -b Pure
### Building Isabelle/Scala ...
Building Pure ...
*** Consumer thread failure: "Isabelle.Session.manager"
*** I/O error:
/srv/data/tum/isabelle/devel/src/Tools/jEdit/dist/Isabelle-jEdit.shasum
(Datei oder Verzeichnis nicht gefunden)

and then the process hangs.


Whereas

$ isabelle jedit -b
$ isabelle build -b Pure

works as expected.


Cheers,
	Florian


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Subject: Re: [isabelle] Bootstrap problem in Isabelle2021-RC1: Consumer
	thread failure: "Isabelle.Session.manager"
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On 03/01/2021 10:44, Florian Haftmann wrote:
> Starting from a plain mercurial checkout:
> 
> $ isabelle build -b Pure
> ### Building Isabelle/Scala ...
> Building Pure ...
> *** Consumer thread failure: "Isabelle.Session.manager"
> *** I/O error:
> /srv/data/tum/isabelle/devel/src/Tools/jEdit/dist/Isabelle-jEdit.shasum
> (Datei oder Verzeichnis nicht gefunden)
> 
> and then the process hangs.

OK, I have made it more robust here:
https://isabelle-dev.sketis.net/rISABELLE03e78b35ebbc

Thus it will be in Isabelle2021-RC2, presumably to be published within 1 week.


Behind that is a funny trick to get Isabelle/Scala source positions into PIDE
markup produced by Isabelle/ML. For example:

ML ‹
  @{scala echo} "abc"
›

Now C-hover-click on "echo" will jump to the implementation of that registered
Isabelle/Scala function.


Registration of such functions works in user-space, using a suitable
invocation of "isabelle_scala_service" in etc/settings (e.g. of an add-on
component). For Isabelle/Pure it happens in $ISABELLE_HOME/etc/settings like this:

isabelle_scala_service 'isabelle.Scala_Functions'


	Makarius


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Subject: Re: [isabelle] Apple switching to ARM
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On 23/06/2020 16:49, Nick Spinale wrote:
> Last fall, I built and ran Isabelle 2019 and all of its dependencies on Arm (aarch64-linux) using Nix [1].
> 
>> Last I heard, Poly/ML only had an interpreter on ARM, not a compiler, which comes with a big performance loss.
> 
> I did encounter serious performance problems with Poly/ML. From what I can gather from the Poly/ML source, you are correct [2].
> 
> For reference, my code: https://github.com/nspin/nix-isabelle
> 
> [1] https://nixos.org/features.html
> [2] https://github.com/polyml/polyml/blob/0ad5aa87ea7bd8eace41a180e2f5bad588c4635d/configure.ac#L433

In the meantime I have occasionally looked through your scripts and patches
from that repository.

Current Isabelle2021-RC1 supports arm64-linux (Pi OS) and arm64-darwin (macOS
Big Sur) to some extent.

Instead of official https://isabelle.in.tum.de/website-Isabelle2021-RC1 this
requires to use a repository clone
https://isabelle.sketis.net/repos/isabelle/file/Isabelle2021-RC1/README_REPOSITORY
--- after the "hg clone" command you can navigate the desired version e.g. via
"hg up -r Isabelle2021-RC1".


I am still considering how much arm64-darwin will be in the final app bundle
Isabelle2021 (February 2021). There will be nothing particular for arm64-linux
(or NixOS), though.


	Makarius


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Subject: Re: [isabelle] Any fans of "try"?
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On 26/05/2020 12:29, Jasmin Blanchette via Cl-isabelle-users wrote:
> 
> 3. (Maybe?) Enable Auto Nitpick.
> 
> (Auto Nitpick is a reduced version of Nitpick that doesn't take that much CPU and won't run for more than 5 s. It's useful on nonexecutable conjectures like "hd [] = 0" and other problems with an axiomatic flavor.)

I was experimenting with auto_nitpick for Isabelle2021, but have disabled it
for Isabelle2021-RC1, see also
https://isabelle-dev.sketis.net/rISABELLE52ba78df4088 "disable auto_nitpick
for now: spurious problems with non-termination e.g. in HOL-Hoare examples".

The deeper problem behind it is the new Isabelle/Scala implementation of
Kodkod: it sometimes has problems with parallelism and interrupts.

The old external Java process for Kodkod is still there, and actually used by
default in "isabelle build" (for robustness and conservatity). Using it in
auto-mode is not feasible, especially on Windows.


At some point I would like to get Isabelle/Scala Kodkod into proper form as
the only version of that tool, see also https://isabelle.sketis.net/repos/kodkodi

Then we could also reconsider the auto_nitpick option.

(This is not relevant for the Isabelle2021 release in February, but maybe for
the one 8-10 months later.)


	Makarius


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Subject: Re: [isabelle] sledgehammer (or Z3) internal error
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On 05/05/2020 18:05, Lars-Henrik Eriksson wrote:
> The attached theory causes a sledgehammer error in Isabelle 2020.
> 
> The theory is as small as I have been able to make it. Seemingly unrelated things like the datatype declaration, the function p and even the locale names (!) matter.
> 
> Even more odd is that editing the theory in Isabelle and then undoing the edits sometimes causes the error to go away. Loading the theory in a fresh instance of Isabelle always triggers the error, however.

Trying this with Isabelle2021-RC1 from
https://isabelle.in.tum.de/website-Isabelle2021-RC1 I still see the breakdown:

exception Fail raised (line 222 of "~~/src/HOL/Tools/SMT/z3_proof.ML"):
Replaying the proof trace produced by Z3 failed: the bound "?0" is undeclared;
this indicates a bug in Z3

I don't understand the setup myself. If an expert on Isabelle/Z3 wants to do
something about it, we still have 1-2 weeks time on the Isabelle2021 release
train.


	Makarius

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Subject: Re: [isabelle] Custom fonts in browser_info html?
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On 06/04/2020 02:50, Dr. Brendan Patrick Mahony wrote:
> Is there an approved/supported facility for handling symbol glyphs from custom fonts in the html generated in the html files generated by 
> "build -o browser_info”?
> 
> At first blush it seems to ignore the font information in the symbols file and just expects the glyph to be in IsabelleDejaVuSansMono.ttf.
> 

A rather old thread, but still current: in the past few weeks I have reworked
the HTML output a lot, a some details might still change for Isabelle2021
(February 2021).

I don't forsee ways to specify fonts right now, but maybe you want to explain
your application. Which font, which glyphs are you using in particular?


	Makarius



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Subject: Re: [isabelle] Sledgehammer errors (Isabelle 2020)
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On 21/04/2020 19:01, Peter Lammich wrote:
> 
> I get the following error when running sledgehammer on certain
> statements. It seems to be reproducible on my machine, where I get the
> same output each time.
> 
> I have already reported the "bad SMT term: _ " error from Z3, but the
> core dumps from CVC4 are new.

> theory Scratch
> imports
>    "Word_Lib.Word_Lemmas"
> begin
>   (* TODO: Move *)  
>   lemma word1_neqZ_is_one: "(a::1 word) ≠ 0 ⟷ a=1"  
>     apply transfer
>     subgoal for a
>       apply (cases "bin_last a")
>       by auto
>     done
>     
>   lemma word1_cases[cases type]: 
>     fixes a :: "1 word" obtains (zero) "a=0" | (one) "a=1"
>     apply (cases "a=0")
>     by (auto simp: word1_neqZ_is_one)
> 
> 
>   lemma "from_bool (to_bool a ∧ to_bool b) = a && b" for a b :: "1
> word"
>     sledgehammer
>     
> (*    
>     
> Sledgehammering... 
> Proof found... 
> /tmp/isabelle-j65266pl/process1068846226209823883/bash_script6413124:
> line 1: 10915 Aborted                 (core dumped)
> /home/j65266pl/opt/Isabelle2020/contrib/cvc4-1.5-5/x86_64-linux/cvc4 --
> full-saturate-quant --inst-when\=full-last-call --inst-no-entail --
> term-db-mode\=relevant --multi-trigger-linear --no-statistics --random-
> seed\=1 --lang\=smt2 --continued-execution --tlimit 9990 /tmp/isabelle-
> j65266pl/process1068846226209823883/cache-io-6413120 > /tmp/isabelle-
> j65266pl/process1068846226209823883/cache-io-6413122 2>&1 
> /tmp/isabelle-j65266pl/process1068846226209823883/bash_script6417028:
> line 1: 10942 Aborted                 (core dumped)
[...]
> "cvc4": The prover crashed 
> "e": Try this: by (metis (full_types) from_bool_1 to_bool_0 to_bool_1
> word1_neqZ_is_one word_bool_alg.conj_one_right word_log_esimps(1)) (119
> ms) 
> "z3": A prover error occurred:
> bad SMT term: _ 
> "vampire": Try this: by (metis (full_types) from_bool_neq_0 to_bool_0
> to_bool_1 word1_cases word_and_notzeroD word_bw_same(1)) (54 ms)  
> 
> *)  

Trying a variant of this example with Isabelle2021-RC1, I get soft failures
for the SMT tools, without hard crashes. This is for AFP/a31f698ef3f8:

  Isabelle2021-RC1/bin/isabelle jedit -d afp-devel/thys Scratch.thy


I can't say if it is within the intended range of functionality or
non-functionality of the SMT tools with the HOL Word library.


	Makarius

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Subject: [isabelle] CfP Theorem Proving Components for Educational Software
	at CADE-28
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              Call for Extended Abstracts & Demonstrations
**************************************************************************
                               ThEdu'21
          Theorem Proving Components for Educational Software
                              July 2021
              http://www.uc.pt/en/congressos/thedu/ThEdu21
**************************************************************************
                              at CADE-28
        The 28th International Conference on Automated Deduction
        Carnegie Mellon University, Pittsburgh, PA, United States
                           July 11-16, 2021
                        http://www.cade-28.info
**************************************************************************


ThEdu'21 Scope:

  Computer Theorem Proving is becoming a paradigm as well as a
  technological base for a new generation of educational software in
  science, technology, engineering and mathematics. The workshop brings
  together experts in automated deduction with experts in education in
  order to further clarify the shape of the new software generation and
  to discuss existing systems.

Invited Talk

  Gilles Dowek, ENS Paris-Saclay

Important Dates

 * Extended Abstracts:  25 April 2021
 * Author Notification: 23 May 2021
 * Workshop Day:        July 2021

Topics of interest include:

 * methods of automated deduction applied to checking students' input;
 * methods of automated deduction applied to prove post-conditions
   for particular problem solutions;
 * combinations of deduction and computation enabling systems to
   propose next steps;
 * automated provers specific for dynamic geometry systems;
 * proof and proving in mathematics education.

Submission

  We welcome submission of extended abstracts and demonstration
  proposals presenting original unpublished work which is not been
  submitted for publication elsewhere.
 
  All accepted extended abstracts and demonstrations will be presented
  at the workshop. The extended abstracts will be made available
  online.
 
  Extended abstracts and demonstration proposals should be submitted
  via easychair, https://easychair.org/conferences/?conf=thedu21
  formatted according to
  http://www.easychair.org/publications/easychair.zip
 
  Extended abstracts and demonstration proposals should be approximately
  5 pages in length and are to be submitted in PDF format.
 
  At least one author of each accepted extended abstract/demonstration
  proposal is expected to attend ThEdu'21 and presents his/her extended
  abstract/demonstration.

Contingency Plans (COVID19)

  If the pandemic status, at the time of the conference, should force
  CADE-28 to be implemented as an online event, ThEdu'21 will follow
  through, as a online workshop.

Program Committee

  Francisco Botana, University of Vigo at Pontevedra, Spain
  David Cerna, Johannes Kepler University, Austria
  Joao Marcos, Universidade Federal do Rio Grande do Norte, Brazil (co-chair)
  Filip Maric, University of Belgrade, Serbia
  Adolfo Neto, Universidade Tecnológica Federal do Paraná, Brazil
  Walther Neuper, Graz University of Technology, Austria (co-chair)
  Pedro Quaresma, University of Coimbra, Portugal (co-chair)
  Philippe R. Richard, Université de Montréal, Canada (tentative)
  Vanda Santos, University of Aveiro, Portugal
  Wolfgang Schreiner, Johannes Kepler University, Austria
  Jørgen Villadsen, Technical University of Denmark, Denmark

Proceedings

  The extended abstracts and system descriptions will be available in
  ThEdu'21 Web-page. After presentation at the conference, selected
  authors will be invited to submit a substantially revised version,
  extended to 14--20 pages, for publication by the Electronic
  Proceedings in Theoretical Computer Science (EPTCS).


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    <pre>              Call for Extended Abstracts &amp; Demonstrations
**************************************************************************
                               ThEdu'21
          Theorem Proving Components for Educational Software
                              July 2021
              <a class="moz-txt-link-freetext" href="http://www.uc.pt/en/congressos/thedu/ThEdu21" moz-do-not-send="true">http://www.uc.pt/en/congressos/thedu/ThEdu21</a>
**************************************************************************
                              at CADE-28
        The 28th International Conference on Automated Deduction
        Carnegie Mellon University, Pittsburgh, PA, United States
                           July 11-16, 2021
                        <a class="moz-txt-link-freetext" href="http://www.cade-28.info" moz-do-not-send="true">http://www.cade-28.info</a>
**************************************************************************


ThEdu'21 Scope:

  Computer Theorem Proving is becoming a paradigm as well as a
  technological base for a new generation of educational software in
  science, technology, engineering and mathematics. The workshop brings
  together experts in automated deduction with experts in education in
  order to further clarify the shape of the new software generation and
  to discuss existing systems.

Invited Talk

  Gilles Dowek, ENS Paris-Saclay

Important Dates

 * Extended Abstracts:  25 April 2021
 * Author Notification: 23 May 2021
 * Workshop Day:        July 2021

Topics of interest include:

 * methods of automated deduction applied to checking students' input;
 * methods of automated deduction applied to prove post-conditions
   for particular problem solutions;
 * combinations of deduction and computation enabling systems to
   propose next steps;
 * automated provers specific for dynamic geometry systems;
 * proof and proving in mathematics education.

Submission

  We welcome submission of extended abstracts and demonstration
  proposals presenting original unpublished work which is not been
  submitted for publication elsewhere.
 
  All accepted extended abstracts and demonstrations will be presented
  at the workshop. The extended abstracts will be made available
  online.
 
  Extended abstracts and demonstration proposals should be submitted
  via easychair, <a class="moz-txt-link-freetext" href="https://easychair.org/conferences/?conf=thedu21" moz-do-not-send="true">https://easychair.org/conferences/?conf=thedu21</a>
  formatted according to
  <a class="moz-txt-link-freetext" href="http://www.easychair.org/publications/easychair.zip" moz-do-not-send="true">http://www.easychair.org/publications/easychair.zip</a>
 
  Extended abstracts and demonstration proposals should be approximately
  5 pages in length and are to be submitted in PDF format.
 
  At least one author of each accepted extended abstract/demonstration
  proposal is expected to attend ThEdu'21 and presents his/her extended
  abstract/demonstration.

Contingency Plans (COVID19)

  If the pandemic status, at the time of the conference, should force
  CADE-28 to be implemented as an online event, ThEdu'21 will follow
  through, as a online workshop.

Program Committee

  Francisco Botana, University of Vigo at Pontevedra, Spain
  David Cerna, Johannes Kepler University, Austria
  Joao Marcos, Universidade Federal do Rio Grande do Norte, Brazil (co-chair)
  Filip Maric, University of Belgrade, Serbia
  Adolfo Neto, Universidade Tecnológica Federal do Paraná, Brazil
  Walther Neuper, Graz University of Technology, Austria (co-chair)
  Pedro Quaresma, University of Coimbra, Portugal (co-chair)
  Philippe R. Richard, Université de Montréal, Canada (tentative)
  Vanda Santos, University of Aveiro, Portugal
  Wolfgang Schreiner, Johannes Kepler University, Austria
  Jørgen Villadsen, Technical University of Denmark, Denmark

Proceedings

  The extended abstracts and system descriptions will be available in
  ThEdu'21 Web-page. After presentation at the conference, selected
  authors will be invited to submit a substantially revised version,
  extended to 14--20 pages, for publication by the Electronic
  Proceedings in Theoretical Computer Science (EPTCS).

</pre>
  </body>
</html>

--------------337D2D0EC0084F5C65C4C7DD--


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Subject: Re: [isabelle] Isabelle2021-RC0: Java/VM monitor
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I just tried it in Isabelle2021-RC1 and the behavior seems the same.  I cannot connect the console to
the Isabelle/JEdit VM.  Now running under Ubuntu 20.04 LTS (previous attempts were under 18.04).

On 1/1/21 4:38 AM, Makarius wrote:
> On 04/12/2020 23:56, Eugene W. Stark wrote:
>> After attending Makarius' presentation earlier today, I tried to use the Java/VM monitor in Isabelle2021-RC0.
>> Two issues arose:
>>
>> 	Big issue: Could not convince JConsole to connect to the Isabelle/JEdit Java VM.  Local connection
>> 	   failed.  JConsole documentation suggests that it should be possible for a user to connect to
>> 	   local JVM instances that are running under the same user ID, but this did not seem to work.
>> 	   SSH connections are not an option, because I do not enable password authentication via SSH and
>> 	   there seems to be no provision for public key authentication.
> 
> How does this work in Isabelle2021-RC1?
> 
> The standard "jconsole" tool has some complexity and fragility in connecting
> to processes (local or remote).
> 
> In
> https://isabelle.sketis.net/repos/isabelle/file/Isabelle2021-RC1/src/Pure/Tools/java_monitor.scala
> I have taken over more responsibility for the monitor, trying to make it more
> robust.
> 
> 
>> 	Smaller issue:  The "Help" link to the "Online User Guide" for JConsole is stale.  If I run JConsole
>> 	   from shell level (this presumably does not run the version that is part of the Isabelle distribution),
>> 	   then the same menu selection does not result in a stale link.
> 
> This is beyond my responsibility. The situation might change again with a
> future version of OpenJDK.
> 
> 
> 	Makarius
> 



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Subject: Re: [isabelle] Sledgehammer errors (Isabelle 2020)
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Thanks for revisiting that thread.

> Trying a variant of this example with Isabelle2021-RC1, I get soft failures
> for the SMT tools, without hard crashes. This is for AFP/a31f698ef3f8:
>
>    Isabelle2021-RC1/bin/isabelle jedit -d afp-devel/thys Scratch.thy
>
>
> I can't say if it is within the intended range of functionality or
> non-functionality of the SMT tools with the HOL Word library.


The Z3 errors are expected, the CVC4 are not. I am working on it -- CVC4 
is producing warnings that are not properly ignored.


Mathias

>
>
> 	Makarius


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Subject: [isabelle] Go-to-definition doesn't work when exploring library.
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Dear Isabelle users,

inside of jEdit, I can Ctrl+click to view the definition of anything I
use in my theory. Sometimes, this will take me to a file inside
~~/src/HOL, and in those files, this mechanism doesn't work anymore.

I suspect this has something to do with the error at the top of the
theory file:

    Cannot update finished theory "HOL.Rings"

Is this a misconfiguration on my part, or is it an unavoidable bug?

Currently, I can cope by temporarily including the constant or type I'm
interested in the theory I'm working on, but it's cumbersome and can
easily break if a name is defined in multiple places.

I suppose another workaround would be to start jedit with the -l Pure
option, so that HOL gets reprocessed on startup instead of loading a
heap image. In my case, this is unworkable, as I'm actually interested
in following around the definitions in HOL-Analysis and HOL-Algebra,
which I include in a custom session to avoid re-checking these heavy
sessions every time I load them.

I would be interested in any other workarounds or fixes.

Kind regards,
Jakub K=C4=85dzio=C5=82ka


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Subject: [isabelle] low-level code formalisations in Isabelle
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Hi,

what architectures can I target for a verifying compiler using Isabelle?

What I see is Isabelle specifications for WebAssembly:

https://www.cl.cam.ac.uk/~caw77/papers/mechanising-and-verifying-the-webassembly-specification.pdf

and ARM, RISC-V and CHERI-MIPS:

https://www.cl.cam.ac.uk/~nk480/sail-submitted.pdf

Is there anything else? And, what are the limitations of the above? Any 
experience report is welcome.

- Gergely



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Subject: Re: [isabelle] Go-to-definition doesn't work when exploring library.
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On 04/01/2021 00:31, Jakub Kądziołka wrote:
> Dear Isabelle users,
> 
> inside of jEdit, I can Ctrl+click to view the definition of anything I
> use in my theory. Sometimes, this will take me to a file inside
> ~~/src/HOL, and in those files, this mechanism doesn't work anymore.
> 
> I suspect this has something to do with the error at the top of the
> theory file:
> 
>     Cannot update finished theory "HOL.Rings"
> 
> Is this a misconfiguration on my part, or is it an unavoidable bug?
> 
> Currently, I can cope by temporarily including the constant or type I'm
> interested in the theory I'm working on, but it's cumbersome and can
> easily break if a name is defined in multiple places.
> 
> I suppose another workaround would be to start jedit with the -l Pure
> option, so that HOL gets reprocessed on startup instead of loading a
> heap image. In my case, this is unworkable, as I'm actually interested
> in following around the definitions in HOL-Analysis and HOL-Algebra,
> which I include in a custom session to avoid re-checking these heavy
> sessions every time I load them.
> 
> I would be interested in any other workarounds or fixes.

You can also try https://search.isabelle.in.tum.de --- it is still somewhat
experimental, but already quite usable.

Your observation is correct that already loaded (or "finished") theories don't
get Prover IDE markup and thus no hyperlinks. This is neither a "bug" nor a
"feature": it is merely a limitation of the present approach (since approx.
2011). Many other high-end IDEs have similar limitation, but also add-on
mechanisms to overcome it (e.g. IntelliJ IDEA disassembles library jar modules
on the spot).

One happy day, the Isabelle Prover IDE will be able to do something similar,
but it takes time to get there, and one must avoid applying too much force in
"fixes" that are apt to devastate a delicate eco-system.


	Makarius


From tals4 at cam.ac.uk Mon Jan 04 17:23:13 2021
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Subject: [isabelle] Fwd: Re: Several questions about the availability of
	certain specific proof tools for classical reasoning/simplification in
	Isabelle/HOL
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Hi Mikhail.

I think it's worth mentioning a simple trick relevant to associativity.

As you say, the problem is, how do you apply a rewrite of the form
"b . c = r" to a goal "a . b . c . d"? It's annoying to have to instruct
Isabelle to somehow gather the b and c together. Let's suppose "." is
associative and that "a . b . c . d" is syntax for "a . (b . (c . d))".
The simple trick is to also derive the rule "b . c . x = r . x".
This modified rule will apply to the original goal in normal form 
without
having to first gather "(b . c)" together.

The variant form of each rule can usually be derived as a one-liner, 
since
it just amounts to generalising via some congruence and then rewriting 
into
normal form. Here's a worked example for conjunction, which works in 
Isabelle/HOL:

lemma less_and_greater:
   fixes x :: nat
   shows "(x < y ∧ x > y) = False"
   by auto

lemmas conj_left_cong = conj_cong[OF _ refl]

lemmas less_and_greater2 = less_and_greater[THEN conj_left_cong, 
simplified conj_assoc]

lemma
   fixes x :: nat
   shows
   "~ (A ∧ (B ∧ x < y) ∧ (x > y ∧ x ≤ Suc 12) ∧ C)"
   apply (simp only: conj_assoc)
   apply (simp only: less_and_greater2)
   apply simp
   done

 From time to time somebody asks about rewriting modulo associativity
and commutativity, which might sometimes be really useful. My 
understanding
is that this problem has been studied in other tools, that solutions 
exist,
that performance is a major issue, and that no implementation for
Isabelle currently exists.

Cheers,
     Thomas.

On 2020-12-27 15:58, Mikhail Chekhov wrote:
> Dear All,
> 
> I have several questions about the availability of certain types of
> proof methods for Isabelle (I guess, these questions can also be seen
> as reference requests).
> 
> I am working on a certain applied formalization study. This work is
> carried out in the object logic ZFC in HOL. The type of reasoning that
> it requires is very similar to the type of reasoning that is used in
> HOL-Algebra. When I started my work on this project, I relied,
> primarily, on the tools that combine classical reasoning with
> simplification, such as _auto_. However, I found myself struggling
> more and more in my attempts to provide appropriate sets of
> simp/intro/dest/elim rules that would not cause significant delays and
> loops when solving typical set-based goals. Besides, my proof code
> seemed to be unnecessarily verbose. However, please do not view this
> as a criticism of the aforementioned proof tools: I can hardly claim
> to have an extensive knowledge of the analytical properties of the
> involved algorithms.
> 
> ----------------------------------------------------------------------------------
> 
> Problem 1
> 
> From the manual of the simplifier: "conditions in conditional rewrite
> rules are solved recursively before the rewrite rule is applied".
> Empirically, I have established that it could be useful to be able to
> treat rewriting in the same manner as intro-resolution, allowing the
> side conditions of the rewrite rules to be resolved both using
> rewriting or intro-resolution after the application of the rewrite
> rule to a given goal (of course, this is also meant to be done
> recursively). I devised a prototype method based on this algorithm (CS
> in https://gitlab.com/user9716869/Isabelle-Complement-Library). For my
> own needs, practically, I found this type of 'coupling' of rewriting
> and intro-resolution to be exceptionally capable at solving complex
> goals in comparison with some of the existing tools that seem to
> combine simplification and classical reasoning that I tried before (by
> now, for my own needs, I rely on the methods provided by CS almost
> exclusively in a reasonably sizeable development).
> 
> Unfortunately, my formal background in the area of the algorithms that
> are used in the common proof tools is, somewhat, limited (I have
> always been far more interested in the applications of the proof
> assistants to the development of formally verified software and
> applied formalization of mathematics, rather than the technology
> behind them). Thus, I have little doubt that I have reinvented the
> wheel. My primary question is whether any of the existing proof tools
> already provide access to the algorithm that I have described.
> 
> ----------------------------------------------------------------------------------
> 
> Problem 2
> 
> I would like to know if there exist any reasonably generic proof tools
> for Isabelle that would take into account associativity implicitly.
> Somehow, when performing rewriting, I would like to be able to treat
> ((ab)c)d, (ab)(cd), ... as members of the same equivalence class with
> respect to the relation induced by the associativity. Therefore, if
> there is an additional rewrite rule b(cd)=e (again, treated with
> respect to the same equivalence relation), it would be immediately
> applicable to any form of abcd, immediately yielding ae. Intuitively,
> it seems that this strategy could work rather well for the types of
> problems that I am facing regularly, and I am considering implementing
> it within the scope of the aforementioned proof tools. However, I am
> slightly concerned about whether there already exist canonical
> implementations or better alternative solutions (please note, however,
> that my setting is, effectively, a partial semigroup).
> 
> Kind Regards,
> Mikhail Chekhov


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From: Lorenzo Gheri <lor.gheri at gmail.com>
Date: Mon, 4 Jan 2021 17:53:41 +0000
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Subject: [isabelle] Research assistant/associate position at Imperial
	College London
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--000000000000dbd64805b816c5a5
Content-Type: text/plain; charset="UTF-8"
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Dear All,

we are hiring a Research Assistant/Associate at the Mobility Reading Group,
Imperial College London. We welcome applicants with strong interest in
programming language mechanisation, design and implementation, formal
semantics, type theory and concurrency theory.

Interested candidates are encouraged to send an informal message to Prof.
Nobuko Yoshida: n.yoshida at imperial.ac.uk

Please find the full detail of the open position below.

Best,
Lorenzo

------------------------------------------------------------

Department of Computing, Imperial College London

Research Assistant/Associate Position (Full Time)
=C2=A336,045 -- =C2=A348,340 per annum

Reference: ENG01520
Fixed-term: 2 years (with a possible 24 month extension)
Starting date: as soon as possible (the starting date is flexible)
Contact: Nobuko Yoshida (n.yoshida at imperial.ac.uk)

The Research Assistant will work under the EPSRC Established Career
Fellowship Project, POST: Protocols, Observabilities and Session Types.

Imperial College London provides a flexible arrangement to be able to start
and work remotely until we reopen the campus. It is also flexible for the
starting date.

Please contact Nobuko Yoshida (n.yoshida at imperial.ac.uk), Imperial College
London if you would like to apply to the position to have informal
discussions.

Details:
https://www.imperial.ac.uk/jobs/description/ENG01520/research-assistant-res=
earch-associate

------------------------------------------------------------

The project has particular emphasis on putting theory into practice, by
embedding session types in a range of programming languages and applying
them to case studies; or developing the links between session types and
other areas of theoretical computer science. The research programme
includes collaboration with several companies and organisations.

Candidates for the postdoc position will need to have expertise in either:

1. programming language design and implementation; or
2. formal semantics, type theory and concurrency theory

Different positions will be suitable for different points on the
theory/practice spectrum. We are especially interested in candidates with a
combination of theoretical and practical skills.

For more details, see http://mrg.doc.ic.ac.uk.

The focus of Imperial College London Group is theories and applications of
(Multiparty) Session Types which include:

-- Go, Rust, TypeScript, Scala, F*, F#, Erlang, Haskell, OCaml, Java, MPI-C
and Python;

-- session types theories such as Automata Theories, Game Semantics,
Implicit Complexity, Linear Logic and Concurrency Theory

-- mechanisation of session types meta-theory (Coq, Isabelle, Agda, etc)

-- other applications such as blockchains and robotics

The contact person is

Professor Nobuko Yoshida, Imperial College London
(n.yoshida at imperial.ac.uk)

Closing date: 29th March 2021, please contact Nobuko Yoshida (
n.yoshida at imperial.ac.uk) earlier if you would like to apply to the
position even if you wish to start later -- email accepted anytime from
today.

--000000000000dbd64805b816c5a5
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr"><div>Dear All,</div><div><br></div><div>we are hiring a Re=
search Assistant/Associate at the Mobility Reading Group, Imperial College =
London. We welcome applicants with strong interest in programming language =
mechanisation, design and implementation, formal semantics, type theory and=
 concurrency theory.</div><div><br></div><div>Interested candidates are enc=
ouraged to send an informal message to Prof. Nobuko Yoshida: <a href=3D"mai=
lto:n.yoshida at imperial.ac.uk">n.yoshida at imperial.ac.uk</a></div><div><br></=
div><div>Please find the full detail of the open position below.</div><div>=
<br></div><div>Best,</div><div>Lorenzo<br></div><div><div><br>
</div>
<div>------------------------------------------------------------</div></di=
v><div><br></div><div>Department of Computing, Imperial College London
</div><div><br>
</div>
<div>Research Assistant/Associate Position (Full Time)</div>
<div>=C2=A336,045 -- =C2=A348,340 per annum</div>
<div><br>
</div>
<div>Reference: ENG01520</div>
<div>Fixed-term: 2 years (with a possible 24 month extension)</div>
<div>Starting date: as soon as possible (the starting date is flexible)</di=
v>
<div>Contact: <span class=3D"gmail-il">Nobuko</span> Yoshida (<a href=3D"ma=
ilto:n.yoshida at imperial.ac.uk" target=3D"_blank">n.yoshida at imperial.ac.uk</=
a>)</div>
<div><br>
</div>
<div>The Research Assistant will work under the EPSRC Established Career
 Fellowship Project, POST: Protocols, Observabilities and Session Types.</d=
iv>
<div><br>
</div>
<div>Imperial College London provides a flexible arrangement to be able=20
to start and work remotely until we reopen the campus. It is also=20
flexible for the starting date.</div>
<div><br>
</div>
<div>Please contact <span class=3D"gmail-il">Nobuko</span> Yoshida (<a href=
=3D"mailto:n.yoshida at imperial.ac.uk" target=3D"_blank">n.yoshida at imperial.a=
c.uk</a>), Imperial College London if you would like to apply to the positi=
on to have informal discussions. </div>
<div><br>
</div>
<div>Details: <a href=3D"https://www.imperial.ac.uk/jobs/description/ENG015=
20/research-assistant-research-associate" target=3D"_blank">https://www.imp=
erial.ac.uk/jobs/description/ENG01520/research-assistant-research-associate=
</a></div>
<div><br>
</div>
<div>------------------------------------------------------------</div>
<div><br>
</div>
<div>The project has particular emphasis on putting theory into=20
practice, by embedding session types in a range of programming languages
 and applying them to case studies; or developing the links between=20
session types and other areas of theoretical computer
 science. The research programme includes collaboration with several=20
companies and organisations.</div>
<div><br>
</div>
<div>Candidates for the postdoc position will need to have expertise in eit=
her:</div>
<div><br>
</div>
<div>1. programming language design and implementation; or</div>
<div>2. formal semantics, type theory and concurrency theory</div>
<div><br>
</div>
<div>Different positions will be suitable for different points on the=20
theory/practice spectrum. We are especially interested in candidates=20
with a combination of theoretical and practical skills.</div>
<div><br>
</div>
<div>For more details, see <a href=3D"http://mrg.doc.ic.ac.uk" target=3D"_b=
lank">http://mrg.doc.ic.ac.uk</a>.</div>
<div><br>
</div>
<div>The focus of Imperial College London Group is theories and application=
s of (Multiparty) Session Types which include:</div>
<div><br>
</div>
<div>-- Go, Rust, TypeScript, Scala, F*, F#, Erlang, Haskell, OCaml, Java, =
MPI-C and Python;</div>
<div><br>
</div>
<div>-- session types theories such as Automata Theories, Game Semantics, I=
mplicit Complexity, Linear Logic and Concurrency Theory
</div>
<div><br>
</div>
<div>-- mechanisation of session types meta-theory (Coq, Isabelle, Agda, et=
c)</div>
<div><br>
</div>
<div>-- other applications such as blockchains and robotics </div>
<div><br>
</div>
<div>The contact person is</div>
<div><br>
</div>
<div>Professor <span class=3D"gmail-il">Nobuko</span> Yoshida, Imperial Col=
lege London</div>
<div>(<a href=3D"mailto:n.yoshida at imperial.ac.uk" target=3D"_blank">n.yoshi=
da at imperial.ac.uk</a>)</div>
<div><br>
</div>
<div>Closing date: 29th March 2021, please contact <span class=3D"gmail-il"=
>Nobuko</span> Yoshida (<a href=3D"mailto:n.yoshida at imperial.ac.uk" target=
=3D"_blank">n.yoshida at imperial.ac.uk</a>) earlier if you would like to appl=
y to the position even if you wish to start later -- email accepted anytime=
 from today.</div></div>

--000000000000dbd64805b816c5a5--


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Subject: [isabelle] FSCD 2021: Second Call for Papers
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(Apologies for multiple copies of this announcement. Please circulate.)
==================================================================
Updated information on: invited speakers, affiliated workshops
==================================================================
                          CALL FOR PAPERS
                  Sixth International Conference on
      Formal Structures for Computation and Deduction (FSCD 2021)
           July 17 - July 24, 2021, Buenos Aires, Argentina
                     https://fscd2021.dc.uba.ar/
              In-cooperation with ACM SIGLOG and SIGPLAN
	       
NOTE: Due to the Covid 19 pandemic situation, the 2021 edition of FSCD and its satellite workshops will be held online.

IMPORTANT DATES
---------------
All deadlines are midnight anywhere-on-earth (AoE); late submissions will not be considered.

        Abstract:      February 12, 2021
        Submission:    February 15, 2021
        Rebuttal:      April 2-5, 2021
        Notification:  April 19, 2021
        Final version: May 3, 2021

INVITED SPEAKERS
----------------

- Zena M. Ariola, University of Oregon
  https://ix.cs.uoregon.edu/~ariola/
- Nao Hirokawa, JAIST
  https://www.jaist.ac.jp/~hirokawa/
- Elaine Pimentel, Federal University of Rio Grande do Norte
  https://sites.google.com/site/elainepimentel/
- Sam Staton, University of Oxford
  https://www.cs.ox.ac.uk/people/samuel.staton/main.html

AFFILIATED WORKSHOPS
--------------------

- HoTT/UF: 6th Workshop on Homotopy Type Theory/Univalent Foundations
- ITRS: 10th Workshop on Intersection Types and Related Systems
- WPTE: 7th International Workshop on Rewriting Techniques for Program Transformations and Evaluation
- UNIF: 35th International Workshop on Unification
- LSFA: 16th Logical and Semantics Frameworks with Applications
- IWC: 10th International Workshop on Confluence
- IFIP WG 1.6: 24th meeting of the IFIP Working Group 1.6: Rewriting

FSCD (http://fscd-conference.org/) covers all aspects of formal structures for computation and deduction from theoretical foundations to applications. Building on two communities, RTA (Rewriting Techniques and Applications) and TLCA (Typed Lambda Calculi and Applications), FSCD embraces their core topics and broadens their scope to closely related areas in logics, models of computation, semantics and verification in new challenging areas.

The suggested, but not exclusive, list of topics for submission is:

1. Calculi:
 - Rewriting systems (string, term, higher-order, graph, conditional, modulo, infinitary, etc.);
 - Lambda calculus;
 - Logics (first-order, higher-order, equational, modal, linear, classical, constructive, etc.);
 - Proof theory (natural deduction, sequent calculus, proof nets, etc.);
 - Type theory and logical frameworks;
 - Homotopy type theory;
 - Quantum calculi.

2. Methods in Computation and Deduction:
 - Type systems (polymorphism, dependent, recursive, intersection, session, etc.);
 - Induction, coinduction;
 - Matching, unification, completion, orderings;
 - Strategies (normalization, completeness, etc.);
 - Tree automata;
 - Model building and model checking;
 - Proof search and theorem proving;
 - Constraint solving and decision procedures.

3. Semantics:
 - Operational semantics and abstract machines;
 - Game Semantics and applications;
 - Domain theory and categorical models;
 - Quantitative models (timing, probabilities, etc.);
 - Quantum computation and emerging models in computation.

4. Algorithmic Analysis and Transformations of Formal Systems:
 - Type Inference and type checking;
 - Abstract Interpretation;
 - Complexity analysis and implicit computational complexity;
 - Checking termination, confluence, derivational complexity and related properties;
 - Symbolic computation.

5. Tools and Applications:
 - Programming and proof environments;
 - Verification tools;
 - Proof assistants and interactive theorem provers;
 - Applications in industry;
 - Applications of formal systems in other sciences.

6. Semantics and Verification in new challenging areas:
 - Certification;
 - Security;
 - Blockchain protocols;
 - Data Bases;
 - Deep learning and machine learning algorithms;
 - Planning.

PUBLICATION
-----------
The proceedings will be published as an electronic volume in the Leibniz International Proceedings in Informatics (LIPIcs) of Schloss Dagstuhl. All LIPIcs proceedings are open access.

SPECIAL ISSUE
-------------
Authors of selected papers will be invited to submit an extended version to a special issue of Logical Methods in Computer Science.

SUBMISSION GUIDELINES
---------------------
The submission site is:

  https://easychair.org/conferences/?conf=fscd2021

Submissions can be made in two categories. Regular research papers are limited to 15 pages, excluding references and appendices. They must present original research which is unpublished and not submitted elsewhere. System descriptions are limited to 15 pages (including references) and must present new software tools in which FSCD topics play an important role, or significantly new versions of such tools. An archive of the code with instructions on how to install and run the tool must be submitted. In addition, a webpage where the system can be experimented with should be provided. Complete instructions on submitting a paper can be found on the conference web site:

  https://fscd2021.dc.uba.ar/

One author of an accepted paper is expected to present it at the conference

BEST PAPER AWARD BY JUNIOR RESEARCHERS
--------------------------------------
The program committee will select a paper in which at least one author is a junior researcher, i.e. either a student or whose PhD award date is less than three years from the first day of the meeting. Other authors should declare to the PC Chair that at least 50% of contribution is made by the junior researcher(s).

PROGRAM COMMITTEE CHAIR
-----------------------
Naoki Kobayashi, The University of Tokyo
  fscd2021 at easychair.org

PROGRAM COMMITTEE
-----------------
M. Ayala-Rincón, Universidade de Brasília
S. Berardi, University of Torino
F. Blanqui, INRIA
E. Bonelli, Stevens Institute of Technology
É. Contejean, CNRS, Université Paris-Saclay
T. Coquand,  University of Gothenburg
T. Ehrhard, Université de Paris, CNRS
S. Escobar, Univ. Politècnica de València
J. Espírito Santo, University of Minho
C. Faggian, Université de Paris, CNRS
A. Felty, University of Ottawa
S. Figueira, Universidad de Buenos Aires
M. Fiore, University of Cambridge
M. Gaboardi, Boston University
S. Ghilezan, University of Novi Sad
I. Hasuo, National Institute of Informatics
D. Kesner, Université de Paris
R. Krebbers, Radboud University Nijmegen
T. Kutsia, Johannes Kepler University Linz
B. König, University of Duisburg-Essen
M. Lenisa, University of Udine
N. Nishida, Nagoya University
L. Ong, University of Oxford
P. Parys, University of Warsaw
J. Rehof, TU Dortmund University
C. Rocha, Pontificia Univ. Javeriana Cali
A. Silva, University College London
N. Szasz, Universidad ORT Uruguay
A. Tiu, Australian National University
S. Winkler, University of Verona
H. Yang, KAIST, South Korea

CONFERENCE CHAIR
----------------
Alejandro Díaz-Caro, Quilmes Univ. & ICC/CONICET

WORKSHOP CHAIRS
--------------
Mauricio Ayala-Rincón, Universidade de Brasília
Carlos López Pombo, Universidad de Buenos Aires

STEERING COMMITTEE WORKSHOP CHAIR
--------------------------------
Jamie Vicary, Oxford University

PUBLICITY CHAIR
---------------
Carsten Fuhs, Birkbeck, University of London

FSCD STEERING COMMITTEE
-----------------------
Z. Ariola, University of Oregon
M. Ayala-Rincón, University of Brasilia
C. Fuhs, Birkbeck, University of London
H. Geuvers, Radboud University
S. Ghilezan, University of Novi Sad
S. Guerrini, University of Paris 13
D. Kesner (Chair), University of Paris Diderot 
H. Kirchner, Inria
C. Kop, Radboud University
D. Mazza, University of Paris 13
L. Ong, Oxford University
J. Rehof, TU Dortmund
J. Vicary, Oxford University


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To: "cl-isabelle-users at lists.cam.ac.uk" <cl-isabelle-users at lists.cam.ac.uk>
From: Manuel Eberl <eberlm at in.tum.de>
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Subject: [isabelle] Questions about "transfer"
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Hello,

I recently did some experiments with the "transfer" command, but there
are a few things that I don't quite understand, so here are a few questio=
ns:

1. It seems to me that "transfer" always transfers theorems
"left-to-right". For the "transferred" attribute, there is
"untransferred" =E2=80=93 is there a similar thing for "transfer" as well=
?


2. Relatedly, is there an easy idiomatic way to use "flipped" relators?
The following does not work:

lemma
  assumes [transfer_rule]: "rel_set r X Y"
  shows   "rel_set (=CE=BBy x. r x y) Y X"
  by transfer_prover


3. Sometimes, it is more convenient to prove transfer rules for
functions following the pattern

lemma
  assumes [transfer_rule]: "r1 a b" "r2 c d"
  shows   "r3 (f a c) (f' b d)"

but if I declare that lemmas as a transfer_rule, it is not used. I have
to explicitly prove "(r1 =3D=3D=3D> r2 =3D=3D=3D> r3) f f'" from this for=
 it to be
used. Is there some way around this?


4. There is currently no relator for measures. I came up with the
following one, which works well for my purposes, but I think it is not a
good relator because it only makes sense for bi-unique relators on the
values.

definition rel_measure :: "('a =E2=87=92 'b =E2=87=92 bool) =E2=87=92 ('a=
 measure =E2=87=92 'b measure =E2=87=92
bool)" where
  "rel_measure r M1 M2 =E2=9F=B7
     rel_set r (space M1) (space M2) =E2=88=A7
     rel_set (rel_set r) (sets M1) (sets M2) =E2=88=A7
     (rel_set r =3D=3D=3D> (=3D)) (emeasure M1) (emeasure M2)"

The definition of rel_pmf suggests something involving product measures
would be the right way to go.

On a related note: suppose I defined my simple relator and then later on
someone else defines another relator for measures. Would the rules then
clash? Would one have to remove all the rules for my relator for things
to still work smoothly?


5. Is there any trick for proving transfer rules for constants defined
by "inductive" or "fun" that I am unaware of? Doing the induction proofs
manually is very tedious.


6. The constant "has_derivative" is not parametric (I think) because
e.g. for "(f has_derivative D) at_top" you get "Lim (=CE=BBx. x)", which
equal to "THE x. False". However, in practice, F is always of the form
"at x within A" and then has_derivative is parametric. But if I prove
the transfer rule

  (r =3D=3D=3D> r) =3D=3D=3D> (r =3D=3D=3D> r) =3D=3D=3D> r =3D=3D=3D> re=
l_set r =3D=3D=3D> (=3D))
  (=CE=BBf D x A. (f has_derivative D) (at x within A))
  (=CE=BBf D x A. (f has_derivative D) (at x within A))

for some suitable relator r, it does not get used. The transfer package
insists on a relator for "has_derivative". Of course, if I do an
auxiliary definition for this and fold it before applying transfer, it
works, but then I have a useless auxiliary function cluttering the
namespace.


7. In measure theory, there is the definition

  nn_integral :: 'a measure =E2=87=92 ('a =E2=87=92 ennreal) =E2=87=92 en=
nreal
  nn_integral M f =3D
    Sup (simple_integral M `
    {g. simple_function M g =E2=88=A7 g =E2=89=A4 f})

I was able to prove

lemma transfer_nn_integral [transfer_rule]:
  assumes [transfer_rule]: "bi_unique r"
  shows "(rel_measure r =3D=3D=3D> (r =3D=3D=3D> (=3D)) =3D=3D=3D> (=3D))=

         nn_integral nn_integral"

but I needed some trickery to avoid "bi_total r" due to the use of
"Collect". The reason why it works is that "simple_integral" only
evaluates the function on values from "space M", so we can replace the
set in question by

  {g. simple_function M g =E2=88=A7 (=E2=88=80x. x =E2=88=89 space M =E2=9F=
=B6 f x =3D 0) =E2=88=A7
      =E2=88=80x=E2=88=88space M. g x =E2=89=A4 f x}

which can be shown (with quite a bit of pain!) to be parametric.

Is there some trick to make any of this easier?


8. Is there any way of telling the transfer package that some rules have
higher priority than others?


Cheers,

Manuel



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Date: Wed, 6 Jan 2021 01:20:04 +0200
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Subject: Re: [isabelle] Questions about "transfer"
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Dear Manuel Eberl/All,

I will allow myself to provide a few remarks as a regular user of the
transfer infrastructure. Certainly, my own understanding of the framework
is still somewhat limited. However, hopefully, my advice will help to get
rid of the questions that are less difficult.


> 1. It seems to me that "transfer" always transfers theorems
> "left-to-right". For the "transferred" attribute, there is
> "untransferred" =E2=80=93 is there a similar thing for "transfer" as well=
?
>
>
Similar questions have been asked before and the answer seems to be
negative (
https://lists.cam.ac.uk/mailman/htdig/cl-isabelle-users/2019-July/msg00013.=
html
).


> 3. Sometimes, it is more convenient to prove transfer rules for
> functions following the pattern
> lemma
>   assumes [transfer_rule]: "r1 a b" "r2 c d"
>   shows   "r3 (f a c) (f' b d)"
> but if I declare that lemmas as a transfer_rule, it is not used. I have
> to explicitly prove "(r1 =3D=3D=3D> r2 =3D=3D=3D> r3) f f'" from this for=
 it to be
> used. Is there some way around this?
>
>
In certain circumstances, the rules stated in a similar format can be used.
For example,

context
  includes lifting_syntax
  fixes r1 r2 r3 :: "'a =E2=87=92 'b =E2=87=92 bool"
    and f :: "'a =E2=87=92 'a =E2=87=92 'a" and f' :: "'b =E2=87=92 'b =E2=
=87=92 'b"
  assumes [transfer_rule]: "bi_unique r3"
    and [transfer_rule]: "r1 a b =E2=9F=B9 r2 c d =E2=9F=B9 r3 (f a c) (f' =
b d)"
begin

lemma
  assumes [transfer_rule]: "r1 a b" "r2 c d"
  shows "f' b d =3D f' b d"
  by transfer (rule refl)

end

In this case, "r1 a b" and "r2 c d" are treated as side conditions, and the
transfer infrastructure has some limited support for such unconventional
side conditions (however, I am not certain as to what is the extent of such
support).

If it is more convenient to prove a transfer rule in the form that you have
stated, then you can always use (intro rel_funI) to perform the conversion,
e.g.

lemma
  includes lifting_syntax
  shows "(r1 =3D=3D=3D> r2 =3D=3D=3D> r3) f f'"
  apply(intro rel_funI)
  (*=E2=8B=80x y xa ya. r1 x y =E2=9F=B9 r2 xa ya =E2=9F=B9 r3 (f x xa) (f'=
 y ya)*)


> 5. Is there any trick for proving transfer rules for constants defined
> by "inductive" or "fun" that I am unaware of? Doing the induction proofs
> manually is very tedious.
>
>
Yes, there is: see
https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072.h=
tml.
I would like to add to the suggestion in the post that, technically, there
is little that is stopping one from recovering the original definitional
axiom in Isabelle/ML using Thm.axiom (e.g. see the implementation of UD in
https://gitlab.com/user9716869/Isabelle-Complement-Library, but keep in
mind that it is still in a reasonably rough experimental state) instead of
using the collection of theorems associated with nitpick. Providing further
automation for this is on my own "to do" list, but it has a very low
priority. If you decide to make an attempt to generalize/automate this
idea, I would highly appreciate it if you could let me know about this to
avoid possible duplication of efforts.


> 7. In measure theory, there is the definition
>   nn_integral :: 'a measure =E2=87=92 ('a =E2=87=92 ennreal) =E2=87=92 en=
nreal
>   nn_integral M f =3D
>     Sup (simple_integral M `
>     {g. simple_function M g =E2=88=A7 g =E2=89=A4 f})
> I was able to prove
> lemma transfer_nn_integral [transfer_rule]:
>   assumes [transfer_rule]: "bi_unique r"
>   shows "(rel_measure r =3D=3D=3D> (r =3D=3D=3D> (=3D)) =3D=3D=3D> (=3D))
>          nn_integral nn_integral"
> but I needed some trickery to avoid "bi_total r" due to the use of
> "Collect". The reason why it works is that "simple_integral" only
> evaluates the function on values from "space M", so we can replace the
> set in question by
>   {g. simple_function M g =E2=88=A7 (=E2=88=80x. x =E2=88=89 space M =E2=
=9F=B6 f x =3D 0) =E2=88=A7
>       =E2=88=80x=E2=88=88space M. g x =E2=89=A4 f x}
> which can be shown (with quite a bit of pain!) to be parametric.
> Is there some trick to make any of this easier?
>
>
I cannot be certain, but it appears that a pattern similar to the one that
you suggest was used in published work by those whom I would consider to be
well-versed in the functionality of transfer (e.g. see the code associated
with [1]). Thus, it is likely that the problem does not have a generic
solution. However, I would be happy to be wrong about this, as my own work
would benefit from having such a solution.

In this context, I wonder if the types of algorithms used in the work of
Peter Lammich (e.g. [2] and other related articles) would handle this
scenario. I would certainly appreciate any comments from him.


> 8. Is there any way of telling the transfer package that some rules have
> higher priority than others?
>
>
A slightly hacky way would be to simply rearrange the transfer_raw
programmatically, as you need. Practically, in most circumstances, this
should not be needed. One can always write lemmas [transfer_rule] =3D
(*relevant rules that need to have a higher priority*). The duplicates will
not be produced: the theorems in transfer_raw will simply be rearranged
with the restated rules at the top of the list.

Kind Regards,
Mikhail Chekhov

[1]. Immler F, Zhan B. Smooth Manifolds and Types to Sets for Linear
Algebra in Isabelle/HOL. In: 8th ACM SIGPLAN International Conference on
Certified Programs and Proofs. New York: ACM; 2019. p. 65=E2=80=9377. (CPP =
2019).
[2]. Lammich P. Automatic Data Refinement. In: Blazy S, Paulin-Mohring C,
Pichardie D, editors. Interactive Theorem Proving. Heidelberg: Springer;
2013. p. 84=E2=80=9399.

--000000000000fc75f405b82f7289
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr">Dear Manuel Eberl/All,<div><br></div><div>I will allow mys=
elf to provide a few remarks=C2=A0as a regular user of the transfer infrast=
ructure. Certainly, my own understanding of the framework is still somewhat=
 limited. However, hopefully, my advice will help to get rid of the questio=
ns that are less difficult.<br><br><blockquote class=3D"gmail_quote" style=
=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding=
-left:1ex"><br>1. It seems to me that &quot;transfer&quot; always transfers=
 theorems<br>&quot;left-to-right&quot;. For the &quot;transferred&quot; att=
ribute, there is<br>&quot;untransferred&quot; =E2=80=93 is there a similar =
thing for &quot;transfer&quot; as well?<br><br></blockquote></div><div><br>=
</div><div>Similar questions have been asked before and the answer seems to=
 be negative (<a href=3D"https://lists.cam.ac.uk/mailman/htdig/cl-isabelle-=
users/2019-July/msg00013.html">https://lists.cam.ac.uk/mailman/htdig/cl-isa=
belle-users/2019-July/msg00013.html</a>).=C2=A0<br><br><blockquote class=3D=
"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(2=
04,204,204);padding-left:1ex"><br>3. Sometimes, it is more convenient to pr=
ove transfer rules for<br>functions following the pattern<br>lemma<br>=C2=
=A0 assumes [transfer_rule]: &quot;r1 a b&quot; &quot;r2 c d&quot;<br>=C2=
=A0 shows =C2=A0 &quot;r3 (f a c) (f&#39; b d)&quot;<br>but if I declare th=
at lemmas as a transfer_rule, it is not used. I have<br>to explicitly prove=
 &quot;(r1 =3D=3D=3D&gt; r2 =3D=3D=3D&gt; r3) f f&#39;&quot; from this for =
it to be<br>used. Is there some way around this?<br><br></blockquote></div>=
<div><br></div><div>In certain circumstances, the rules stated in a similar=
 format can be used. For example,</div><div><br></div><div>context <br>=C2=
=A0 includes lifting_syntax<br>=C2=A0 fixes r1 r2 r3 :: &quot;&#39;a =E2=87=
=92 &#39;b =E2=87=92 bool&quot;<br>=C2=A0 =C2=A0 and f :: &quot;&#39;a =E2=
=87=92 &#39;a =E2=87=92 &#39;a&quot; and f&#39; :: &quot;&#39;b =E2=87=92 &=
#39;b =E2=87=92 &#39;b&quot;<br>=C2=A0 assumes [transfer_rule]: &quot;bi_un=
ique r3&quot;<br>=C2=A0 =C2=A0 and [transfer_rule]: &quot;r1 a b =E2=9F=B9 =
r2 c d =E2=9F=B9 r3 (f a c) (f&#39; b d)&quot;<br>begin<br><br>lemma<br>=C2=
=A0 assumes [transfer_rule]: &quot;r1 a b&quot; &quot;r2 c d&quot; =C2=A0<b=
r>=C2=A0 shows &quot;f&#39; b d =3D f&#39; b d&quot;<br>=C2=A0 by transfer =
(rule refl)<br><br>end<br><br>In this case, &quot;r1 a b&quot; and &quot;r2=
 c d&quot; are treated as side conditions, and the transfer infrastructure =
has some limited support for such unconventional side conditions (however, =
I am not certain as to what is the extent of such support).</div><div><br><=
/div><div>If it is more convenient to prove a transfer rule in the form tha=
t you have stated, then you can always use (intro rel_funI) to perform the =
conversion, e.g.</div><div><br></div><div>lemma <br>=C2=A0 includes lifting=
_syntax<br>=C2=A0 shows &quot;(r1 =3D=3D=3D&gt; r2 =3D=3D=3D&gt; r3) f f&#3=
9;&quot;<br>=C2=A0 apply(intro rel_funI)<br></div><div>=C2=A0 (*=E2=8B=80x =
y xa ya. r1 x y =E2=9F=B9 r2 xa ya =E2=9F=B9 r3 (f x xa) (f&#39; y ya)*)<br=
><br></div><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.=
8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><br>5. Is ther=
e any trick for proving transfer rules for constants defined<br>by &quot;in=
ductive&quot; or &quot;fun&quot; that I am unaware of? Doing the induction =
proofs<br>manually is very tedious.<br><br></blockquote><div><br></div><div=
>Yes, there is: see=C2=A0<a href=3D"https://lists.cam.ac.uk/pipermail/cl-is=
abelle-users/2019-January/msg00072.html">https://lists.cam.ac.uk/pipermail/=
cl-isabelle-users/2019-January/msg00072.html</a>. I would like to add to th=
e suggestion in the post that, technically, there is little that is stoppin=
g one from recovering the original definitional axiom in Isabelle/ML using =
Thm.axiom (e.g. see the implementation of UD in <a href=3D"https://gitlab.c=
om/user9716869/Isabelle-Complement-Library">https://gitlab.com/user9716869/=
Isabelle-Complement-Library</a>, but keep in mind that it is still in a rea=
sonably rough experimental state) instead of using the collection of theore=
ms associated with nitpick. Providing further automation for this is on my =
own &quot;to do&quot; list, but it has a very low priority. If you decide t=
o make an attempt to generalize/automate this idea, I would highly apprecia=
te it if you could let me know about this to avoid possible duplication of =
efforts.=C2=A0</div><div><br><blockquote class=3D"gmail_quote" style=3D"mar=
gin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1=
ex"><br>7. In measure theory, there is the definition<br>=C2=A0 nn_integral=
 :: &#39;a measure =E2=87=92 (&#39;a =E2=87=92 ennreal) =E2=87=92 ennreal<b=
r>=C2=A0 nn_integral M f =3D<br>=C2=A0 =C2=A0 Sup (simple_integral M `<br>=
=C2=A0 =C2=A0 {g. simple_function M g =E2=88=A7 g =E2=89=A4 f})<br>I was ab=
le to prove<br>lemma transfer_nn_integral [transfer_rule]:<br>=C2=A0 assume=
s [transfer_rule]: &quot;bi_unique r&quot;<br>=C2=A0 shows &quot;(rel_measu=
re r =3D=3D=3D&gt; (r =3D=3D=3D&gt; (=3D)) =3D=3D=3D&gt; (=3D))<br>=C2=A0 =
=C2=A0 =C2=A0 =C2=A0 =C2=A0nn_integral nn_integral&quot;<br>but I needed so=
me trickery to avoid &quot;bi_total r&quot; due to the use of<br>&quot;Coll=
ect&quot;. The reason why it works is that &quot;simple_integral&quot; only=
<br>evaluates the function on values from &quot;space M&quot;, so we can re=
place the<br>set in question by<br>=C2=A0 {g. simple_function M g =E2=88=A7=
 (=E2=88=80x. x =E2=88=89 space M =E2=9F=B6 f x =3D 0) =E2=88=A7<br>=C2=A0 =
=C2=A0 =C2=A0 =E2=88=80x=E2=88=88space M. g x =E2=89=A4 f x}<br>which can b=
e shown (with quite a bit of pain!) to be parametric.<br>Is there some tric=
k to make any of this easier?<br><br></blockquote></div><div><br></div><div=
>I cannot be certain, but it appears that a pattern similar to the one that=
 you suggest was used in published work by those whom I would consider to b=
e well-versed in the functionality of transfer (e.g. see the code associate=
d with [1]). Thus, it is likely that the problem does not have a generic so=
lution. However, I would be happy to be wrong about this, as my own work wo=
uld benefit from having such a solution.=C2=A0</div><div><br></div><div>In =
this context, I wonder if the types of algorithms used in the work of Peter=
 Lammich (e.g. [2] and other related articles) would handle this scenario. =
I would certainly appreciate any comments from him.</div><div><br><blockquo=
te class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px =
solid rgb(204,204,204);padding-left:1ex"><br>8. Is there any way of telling=
 the transfer package that some rules have<br>higher priority than others?<=
br><br></blockquote><div><br></div>A slightly hacky way would be to simply =
rearrange the transfer_raw programmatically, as you need. Practically, in m=
ost circumstances, this should not be needed. One can always write lemmas [=
transfer_rule] =3D (*relevant rules that need to have a higher priority*). =
The duplicates will not be produced: the theorems in transfer_raw will simp=
ly be rearranged with the restated rules at the top of the list.</div><div>=
<br></div><div>Kind Regards,</div><div>Mikhail Chekhov</div><div><br></div>=
<div>[1]. Immler F, Zhan B. Smooth Manifolds and Types to Sets for Linear A=
lgebra in Isabelle/HOL. In: 8th ACM SIGPLAN International Conference on Cer=
tified Programs and Proofs. New York: ACM; 2019. p. 65=E2=80=9377. (CPP 201=
9).=C2=A0<br></div><div>[2]. Lammich P. Automatic Data Refinement. In: Blaz=
y S, Paulin-Mohring C, Pichardie D, editors. Interactive Theorem Proving. H=
eidelberg: Springer; 2013. p. 84=E2=80=9399.=C2=A0<br></div></div>

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Subject: [isabelle] Isabelle2021-RC1 - Any way to limit "veriT" memory use?
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I am running Isabelle2021-RC1 under Ubuntu 20.04.  Is there any way to limit the memory use
of the "veriT" prover?  It seems not to be a very good citizen in this respect: when it is
run from the "try" command it seems willing to grow its address space even to significantly
exceed the total amount of system RAM.  For example, I just observed a virtual address space
of 37.8GB on a system with 32GB total RAM and of course Java, poly, and various other things
were also running, so this is unsupportable.  When this occurs, the system is sent into a
thrashing mode, from which it is difficult even to get back control of the desktop so that
the offending process can be identified and killed.  So some ability to impose a limit is
needed here.




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To: cl-isabelle-users at lists.cam.ac.uk, isabelle-users at starkeffect.com
References: <8a237949-5c44-0d7d-5603-6534318e1b45 at starkeffect.com>
From: Mathias Fleury <mathias.fleury12 at gmail.com>
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Subject: Re: [isabelle] Isabelle2021-RC1 - Any way to limit "veriT" memory use?
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Hi Eugene,

I never use "try", so I need some more information:

* Are you talking about one veriT thread  that used so much memory or 
more than one veriT thread?

* on what theory was this? I would like to reproduce that.

* What was the real memory usage? Virtual memory is pretty meaningless: 
I have a program that has a virtual memory usage of 256G but uses only 9M...



If the trashing is not too hard to reproduce:

* Does it still happen if you deactivate veriT in sledgehammer by adding:


    ML ‹
    fun verit_rm_stgy f stgy thy =
       let
         val ctxt' = f (Proof_Context.init_global thy);
         val thy' = Proof_Context.theory_of ctxt';
       in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy' end;
    ›

    setup ‹fold (verit_rm_stgy (fn x=> x)) ["del_insts", "ccfv_SIG",
    "ccfv_threshold", "default", "best"]›

    ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›
    (*should print: val it = []: string list*)

at the top of the file?


* If the previous point works, does it still happen if you deactivate 
all but one veriT strategy in sledgehammer, by adding:


    ML ‹
    fun verit_rm_stgy f stgy thy =
       let
         val ctxt' = f (Proof_Context.init_global thy);
         val thy' = Proof_Context.theory_of ctxt';
       in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy' end;
    ›

    setup ‹fold (verit_rm_stgy (fn x=> x)) ["del_insts", "ccfv_SIG",
    "ccfv_threshold", "default"]›

    ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›
    (*should print: val it = ["best"]: string list*)

at the top of the file?



Thanks,

Mathias


On 06/01/2021 00:28, Eugene W. Stark wrote:
> I am running Isabelle2021-RC1 under Ubuntu 20.04.  Is there any way to limit the memory use
> of the "veriT" prover?  It seems not to be a very good citizen in this respect: when it is
> run from the "try" command it seems willing to grow its address space even to significantly
> exceed the total amount of system RAM.  For example, I just observed a virtual address space
> of 37.8GB on a system with 32GB total RAM and of course Java, poly, and various other things
> were also running, so this is unsupportable.  When this occurs, the system is sent into a
> thrashing mode, from which it is difficult even to get back control of the desktop so that
> the offending process can be identified and killed.  So some ability to impose a limit is
> needed here.
>
>
>

--------------B006901F036290C2D0093E59
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: 8bit

<html>
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
  </head>
  <body>
    <p>Hi Eugene,</p>
    <p>I never use "try", so I need some more information: <br>
    </p>
    <p>* Are you talking about one veriT thread  that used so much
      memory or more than one veriT thread?</p>
    <p>* on what theory was this? I would like to reproduce that.</p>
    <p>* What was the real memory usage? Virtual memory is pretty
      meaningless: I have a program that has a virtual memory usage of
      256G but uses only 9M...</p>
    <p><br>
    </p>
    <p><br>
    </p>
    <p>If the trashing is not too hard to reproduce:<br>
    </p>
    <p>* Does it still happen if you deactivate veriT in sledgehammer by
      adding:</p>
    <blockquote>
      <p><br>
        ML ‹<br>
        fun verit_rm_stgy f stgy thy =<br>
          let<br>
            val ctxt' = f (Proof_Context.init_global thy);<br>
            val thy' = Proof_Context.theory_of ctxt';<br>
          in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy'
        end;<br>
        ›<br>
        <br>
        setup ‹fold (verit_rm_stgy (fn x=&gt; x)) ["del_insts",
        "ccfv_SIG", "ccfv_threshold", "default", "best"]›<br>
        <br>
        ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›<br>
        (*should print: val it = []: string list*)</p>
    </blockquote>
    <p>at the top of the file?</p>
    <p><br>
    </p>
    <p>* If the previous point works, does it still happen if you
      deactivate all but one veriT strategy in sledgehammer, by adding:</p>
    <blockquote>
      <p><br>
        ML ‹<br>
        fun verit_rm_stgy f stgy thy =<br>
          let<br>
            val ctxt' = f (Proof_Context.init_global thy);<br>
            val thy' = Proof_Context.theory_of ctxt';<br>
          in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy'
        end;<br>
        ›<br>
        <br>
        setup ‹fold (verit_rm_stgy (fn x=&gt; x)) ["del_insts",
        "ccfv_SIG", "ccfv_threshold", "default"]›<br>
        <br>
        ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›<br>
        (*should print: val it = ["best"]: string list*)</p>
    </blockquote>
    <p>at the top of the file?<br>
    </p>
    <p><br>
    </p>
    <p><br>
    </p>
    <p>Thanks,</p>
    <p>Mathias</p>
    <p><br>
    </p>
    <div class="moz-cite-prefix">On 06/01/2021 00:28, Eugene W. Stark
      wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:8a237949-5c44-0d7d-5603-6534318e1b45 at starkeffect.com">
      <pre class="moz-quote-pre" wrap="">I am running Isabelle2021-RC1 under Ubuntu 20.04.  Is there any way to limit the memory use
of the "veriT" prover?  It seems not to be a very good citizen in this respect: when it is
run from the "try" command it seems willing to grow its address space even to significantly
exceed the total amount of system RAM.  For example, I just observed a virtual address space
of 37.8GB on a system with 32GB total RAM and of course Java, poly, and various other things
were also running, so this is unsupportable.  When this occurs, the system is sent into a
thrashing mode, from which it is difficult even to get back control of the desktop so that
the offending process can be identified and killed.  So some ability to impose a limit is
needed here.



</pre>
    </blockquote>
  </body>
</html>

--------------B006901F036290C2D0093E59--


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-------------------------------------------------------------------- 
ITP2021: Interactive Theorem Proving, 12th International Conference 
2021, June 29-July 1, Rome, Italy 
http://easyconferences.eu/itp2021/ [1]  
-------------------------------------------------------------------- 

SECOND CALL FOR WORKSHOPS 

The ITP conference series is concerned with all topics related to 
interactive theorem proving, ranging from theoretical foundations to 
implementation aspects and applications in system verification, 
security, and formalization of mathematics. The 12th ITP conference, 
ITP 2021, will be held in Rome between 29 June and 1 July. 
It will be co-located with LICS and ICTCS conferences. 

ITP will carefully monitor the development of the COVID-19 pandemic, 
and take guidance from the health authorities to determine whether 
ITP21 will be held physically, virtually, or in a hybrid manner. 

Researchers and practitioners are invited to submit proposals for 
co-located workshops on topics relating to interactive theorem 
proving. Workshops can target the ITP community in general, focus on a 
particular ITP system, or highlight more specific issues or recent 
developments. Proposals for in-depth tutorials or tool introductions 
are also welcome. 

Co-located events will take place on 28 June and 2 July and 
will be held on the same premises as the main conference. In case of  
needs, we are ready to discuss and try to accommodate requests for  
two-day workshops. Conference facilities are offered free of charge to  
one of the organizers and one of the invited speakers. Workshop-only  
attendees will enjoy a significantly reduced registration fee. 

Detailed organizational matters such as paper submission and review 
process, or publication of proceedings, are up to the organizers of 
individual workshops. All accepted workshops will be expected to have 
their program ready by 4 June, 2021. 

Proposals for workshops should contain at least the following pieces 
of information: 

 	* name and contact details of the main organizer(s)
 	* (if applicable:) names of additional organizers

	* title and organizational style of the workshop (tutorial, public
workshop, project workshop, etc.) 	* preferred length of the workshop
(half day or full day)
 	* estimated number of attendees
 	* short (up to one page) description of the topic

	* (if applicable:) pointers to previous editions of the workshop, or
to similar events 	* (if applicable:) special needs for an online event

Proposals should be submitted by email to  
itp2021-workshops at easyconferences.eu, 
no later than 11 January, 2021. 
Selected workshops will be notified by 15 January, 2021. 

Links:
------
[1] http://easyconferences.eu/itp2021/
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<div><span>----------------------------------------------------------------=
----</span></div>
<div><span>ITP2021: Interactive Theorem Proving, 12th International Confere=
nce</span></div>
<div><span>2021, June 29-July 1, Rome, Italy</span></div>
<div><a class=3D"editor-rtfLink" href=3D"http://easyconferences.eu/itp2021/=
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s.eu/itp2021/</span></a><span>&nbsp;</span></div>
<div><span>----------------------------------------------------------------=
----</span></div>
<div>&nbsp;</div>
<div><span>SECOND CALL FOR WORKSHOPS</span></div>
<div>&nbsp;</div>
<div><span>The ITP conference series is concerned with all topics related t=
o</span></div>
<div><span>interactive theorem proving, ranging from theoretical foundation=
s to</span></div>
<div><span>implementation aspects and applications in system verification,<=
/span></div>
<div><span>security, and formalization of mathematics. The 12th ITP confere=
nce,</span></div>
<div><span>ITP 2021, will be held in Rome between 29 June and 1 July.</span=
></div>
<div><span>It will be co-located with LICS and ICTCS conferences.</span></d=
iv>
<div>&nbsp;</div>
<div><span>ITP will carefully monitor the development of the COVID-19 pande=
mic,</span></div>
<div><span>and take guidance from the health authorities to determine wheth=
er</span></div>
<div><span>ITP21 will be held physically, virtually, or in a hybrid manner=
=2E</span></div>
<div>&nbsp;</div>
<div><span>Researchers and practitioners are invited to&nbsp;</span><strong=
>submit proposals for</strong></div>
<div><strong>co-located workshops</strong><span>&nbsp;on topics relating to=
 interactive theorem</span></div>
<div><span>proving. Workshops can target the ITP community in general, focu=
s on a</span></div>
<div><span>particular ITP system, or highlight more specific issues or rece=
nt</span></div>
<div><span>developments. Proposals for in-depth tutorials or tool introduct=
ions</span></div>
<div><span>are also welcome.</span></div>
<div>&nbsp;</div>
<div><strong>Co-located events will take place on 28 June and 2 July</stron=
g><span>&nbsp;and</span></div>
<div><span>will be held on the same premises as the main conference. In cas=
e of&nbsp;</span></div>
<div><span>needs, we are&nbsp;</span>ready to discuss and try to accommodat=
e requests for&nbsp;</div>
<div>two-day workshops. Conference facilities are offered free of charge to=
&nbsp;</div>
<div>one of the organizers and one of the invited speakers. Workshop-only&n=
bsp;</div>
<div>attendees will enjoy a significantly reduced registration fee.</div>
<div>&nbsp;</div>
<div><span>Detailed organizational matters such as paper submission and rev=
iew</span></div>
<div><span>process, or publication of proceedings, are up to the organizers=
 of</span></div>
<div><span>individual workshops. All accepted workshops will be expected to=
 have</span></div>
<div><span>their program ready by 4 June, 2021.</span></div>
<div>&nbsp;</div>
<div><span>Proposals for workshops should contain at least the following pi=
eces</span></div>
<div><span>of information:</span></div>
<ul>
<li><span>name and contact details of the main organizer(s)</span></li>
<li><span>(if applicable:) names of additional organizers</span></li>
<li><span>title and organizational style of the workshop (tutorial, public<=
br /></span><span>workshop, project workshop, etc.)</span></li>
<li><span>preferred length of the workshop (half day or full day)</span></l=
i>
<li><span>estimated number of attendees</span></li>
<li><span>short (up to one page) description of the topic</span></li>
<li><span>(if applicable:) pointers to previous editions of the workshop, o=
r<br /></span><span>to similar events</span></li>
<li><span>(if applicable:) special needs for an online event</span></li>
</ul>
<div><span>Proposals should be submitted by email to&nbsp;</span></div>
<div><a class=3D"editor-rtfLink" href=3D"mailto:itp2021-workshops at easyconfe=
rences.eu"><span>itp2021-workshops at easyconferences.eu</span></a><span>,</sp=
an></div>
<div><span>no later than 11 January, 2021.</span></div>
<div><span>Selected workshops will be notified by 15 January, 2021.</span><=
/div>
</body></html>

--=_13e14c918f9ebe997aaee63f69d9c247--


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Subject: [isabelle] Call for Papers: Tests and Proofs 2021 (TAP 2021)
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[Please accept our apologies for duplicates]

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D
Call for Papers

15th International Conference on Tests And Proofs
TAP 2021 Bergen (Norway), June 21-25, 2021
https://www.univ-orleans.fr/lifo/events/TAP2021

Part of STAF 2021
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D

Important Dates
---------------

Full Paper:             January 31, 2021
Notification:           March 15, 2021
Camera-Ready Version:   April 18, 2021
Conference:             June 21-25, 2021


Aim and Scope
-------------

The TAP conference promotes research in verification and formal
methods that targets the interplay of proofs and testing: the
advancement of techniques of each kind and their combination, with the
ultimate goal of improving software and system dependability.

Research in verification has seen a steady convergence of
heterogeneous techniques and a synergy between the traditionally
distinct areas of testing (and dynamic analysis) and of proving (and
static analysis). Formal techniques for counter-example generation
based on, for example, symbolic execution, SAT/SMT-solving or model
checking, furnish evidence for the potential of a combination of test
and proof. The combination of predicate abstraction with testing-like
techniques based on exhaustive enumeration opens the perspective for
novel techniques of proving correctness. On the practical side,
testing offers cost-effective debugging techniques of specifications
or crucial parts of program proofs (such as invariants).  Last but not
least, testing is indispensable when it comes to the validation of the
underlying assumptions of complex system models involving hardware
and/or system environments. Over the years, there is growing
acceptance in research communities that testing and proving are
complementary rather than mutually exclusive techniques.

The TAP conference aims to promote research in the intersection of
testing and proving by bringing together researchers and practitioners
from both areas of verification.


Topics of Interest
------------------

TAP's scope encompasses many aspects of verification technology,
including foundational work, tool development, and empirical
research. Its topics of interest center around the connection between
proofs (and other static techniques) and testing (and other dynamic
techniques). Papers are solicited on, but not limited to, the
following topics:

- Verification and analysis techniques combining proofs and tests
- Program proving with the aid of testing techniques
- Deductive techniques supporting the automated generation of test vector=
s
   and oracles (theorem proving, model checking, symbolic execution, SAT/=
SMT
   solving, constraint logic programming, etc.)
- Deductive techniques supporting novel definitions of coverage criteria,
- Program analysis techniques combining static and dynamic analysis
- Specification inference by deductive and dynamic methods
- Testing and runtime analysis of formal specifications
- Search-based technics for proving and testing
- Verification of verification tools and environments
- Applications of test and proof techniques in new domains,
   such as security, configuration management, learning
- Combined approaches of test and proof in the context of formal
   certifications (Common Criteria, CENELEC, =E2=80=A6)
- Case studies, tool and framework descriptions, and experience
   reports about combining tests and proofs


Submission Instructions
-----------------------

TAP 2021 accepts papers of four kinds:

- Regular research papers: full submissions describing original
   research, of up to 16 pages (excluding references).

- Tool demonstration papers: submissions describing the design and
   implementation of an analysis/verification tool or framework, of up
   to 8 pages (excluding references). The tool/framework described in a
   tool demonstration paper should be available for public use.

- Short papers: submissions describing preliminary findings, proofs of
   concepts, and exploratory studies, of up to 6 pages (excluding
   references).

- Journal-first extended abstracts, of up to 4 pages, summarizing
   recently published articles in high-quality journals. The aim of
   journal-first papers is to further enrich the program of TAP, as
   well as to provide an more flexible path to dissemination of results
   in the field. The summarized journal article should have been
   published (or accepted) by 1 July 2020 or later, and report new
   results (as opposed as simply extending prior conference work with
   'appendix' material, or minor enhancements). Journal-first
   submissions must be marked as such in the submission=E2=80=99s title, =
and
   must explicitly include full bibliographic details (including a DOI)
   of the journal publication they are based on.

Accepted submissions will be published in Springer's LNCS
series. Papers have to adhere to Springer's LNCS format and must be
submitted in PDF format at the EasyChair submission site:

https://easychair.org/conferences/?conf=3Dtap2021


Committees
----------

Information about all committees can be found under
https://www.univ-orleans.fr/lifo/events/TAP2021

Program Chairs :
Frederic Loulergue (University of Orleans, France)
Franz Wotawa (Graz University of Technology, Austria)

Contact
-------
tap2021 at easychair.org



From isabelle-users at starkeffect.com Wed Jan 06 11:03:38 2021
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Subject: Re: [isabelle] Isabelle2021-RC1 - Any way to limit "veriT" memory use?
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On 1/6/21 3:29 AM, Mathias Fleury wrote:
> Hi Eugene,
> 
> I never use "try", so I need some more information:
> 
> * Are you talking about one veriT thread  that used so much memory or more than one veriT thread?

I am not sure that I understand this question.  Threads share a single address space, so the amount of memory used
is not a property of a single thread, but of a process.  If you are asking about processes, then it was one veriT
process.  I did not check how many threads were part of that process.

> 
> * on what theory was this? I would like to reproduce that.

It is not easy for me to supply any kind of simple theory with straightforward instructions for reproducing,
but the next time it happens I will see if I can reproduce by using the same "try" in the same context.

> 
> * What was the real memory usage? Virtual memory is pretty meaningless: I have a program that has a virtual memory usage
> of 256G but uses only 9M...
> 

Again, I don't know what you mean by "real memory usage".  Unless a program uses some tricks such as sparse
address spaces (which can be useful in some kind of in-memory database situations), the virtual memory will be the
sum of the code, data, heap and stack sizes.  Code and read-only data can be shared between processes, but this is
not an issue here because there is only one veriT process, and I don't think any shared libraries used would be
contributing to the issue.  The usage in question is almost certainly dynamic memory usage; i.e. heap.

Linux utilities such as "top" and "ps" do report "virtual size" and "resident-set size".  The resident-set size
would be the amount of actual RAM currently in use by the process.  This number is obviously limited by the
amount of installed RAM and once it reaches a certain level there can essentially not be any further increases,
though the size of the virtual address space can continue to increase if there is available swap.
In the case of the example I cited, the RSS reached about 26GB, which took up enough of the system RAM so that
there was severe thrashing.

> 
> 
> If the trashing is not too hard to reproduce:
> 
> * Does it still happen if you deactivate veriT in sledgehammer by adding:
> 
> 
>     ML ‹
>     fun verit_rm_stgy f stgy thy =
>       let
>         val ctxt' = f (Proof_Context.init_global thy);
>         val thy' = Proof_Context.theory_of ctxt';
>       in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy' end;
>     ›
> 
>     setup ‹fold (verit_rm_stgy (fn x=> x)) ["del_insts", "ccfv_SIG", "ccfv_threshold", "default", "best"]›
> 
>     ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›
>     (*should print: val it = []: string list*)
> 
> at the top of the file?
> 
> 
> * If the previous point works, does it still happen if you deactivate all but one veriT strategy in sledgehammer, by adding:
> 
> 
>     ML ‹
>     fun verit_rm_stgy f stgy thy =
>       let
>         val ctxt' = f (Proof_Context.init_global thy);
>         val thy' = Proof_Context.theory_of ctxt';
>       in Context.theory_map (Verit_Proof.verit_rm_stgy stgy) thy' end;
>     ›
> 
>     setup ‹fold (verit_rm_stgy (fn x=> x)) ["del_insts", "ccfv_SIG", "ccfv_threshold", "default"]›
> 
>     ML ‹Verit_Proof.all_veriT_stgies (Context.Proof @{context})›
>     (*should print: val it = ["best"]: string list*)
> 
> at the top of the file?

I can try this, but do not know if/when I will be able to report on results, since the situation is not
deterministically reproducible at this time.


> 
> 
> 
> Thanks,
> 
> Mathias
> 
> 
> On 06/01/2021 00:28, Eugene W. Stark wrote:
>> I am running Isabelle2021-RC1 under Ubuntu 20.04.  Is there any way to limit the memory use
>> of the "veriT" prover?  It seems not to be a very good citizen in this respect: when it is
>> run from the "try" command it seems willing to grow its address space even to significantly
>> exceed the total amount of system RAM.  For example, I just observed a virtual address space
>> of 37.8GB on a system with 32GB total RAM and of course Java, poly, and various other things
>> were also running, so this is unsupportable.  When this occurs, the system is sent into a
>> thrashing mode, from which it is difficult even to get back control of the desktop so that
>> the offending process can be identified and killed.  So some ability to impose a limit is
>> needed here.
>>
>>
>>



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Subject: [isabelle] Isabelle2021-RC1 - editing below sometimes causes
	rechecking above?
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Using Isabelle2021-RC1 I am noticing an unexpected behavior that did not occur in previous versions:
editing at the tail end of a proof under construction sometimes seems to trigger re-checking of
material before the point at which editing is occurring.  At least, I make some edit and I see
highlighting briefly flash on the text earlier than where I am editing, as if rechecking has been
triggered on that part.  I cannot tell how far back the rechecking occurs -- in lemmas I have
just been working on it goes at least back to the beginning of the lemma being proved and perhaps
to previous lemmas.  It might be associated with the insertion and deletion of "try", but I am
not sure at this time.  Using "try" as a way of verifying statements as I am sketching out a
proof is pretty fundamental to how I do things, so I am constantly taking "try" in and out of
the editing buffer.

This is something that is is hard to describe how to reproduce, other than to say try writing
a proof and keep your eyes open for apparent rechecking before the point of edit.  Perhaps this
report is enough to suggest what change might have been made that would cause this.



From mathias.fleury12 at gmail.com Wed Jan 06 14:42:55 2021
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To: "cl-isabelle-users at lists.cam.ac.uk" <cl-isabelle-users at lists.cam.ac.uk>
From: Mathias Fleury <mathias.fleury12 at gmail.com>
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Date: Wed, 6 Jan 2021 15:42:52 +0100
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Subject: [isabelle] Isabelle2021-RC1 - error highlighting
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Hi all,

The error highlighting does not include the tactics anymore:


Is that the expected behavior? I find error harder to find in a buffer.



Best,

Mathias


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<html>
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    <meta http-equiv="content-type" content="text/html; charset=UTF-8">
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  <body>
    <p>Hi all,</p>
    <p>The error highlighting does not include the tactics anymore:<br>
    </p>
    <p><img src="cid:part1.AD4628A6.0FB9A3B0 at gmail.com" alt=""></p>
    <p><br>
    </p>
    <p>Is that the expected behavior? I find error harder to find in a
      buffer.</p>
    <p><br>
    </p>
    <p><br>
    </p>
    <p>Best,</p>
    <p>Mathias<br>
    </p>
  </body>
</html>

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To: Manuel Eberl <eberlm at in.tum.de>,
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References: <4c25801c-0735-acc9-3133-b9cfdcf8077c at in.tum.de>
From: Andreas Lochbihler <mail at andreas-lochbihler.de>
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Subject: Re: [isabelle] Questions about "transfer"
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Hi Manuel,

> 1. It seems to me that "transfer" always transfers theorems
> "left-to-right". For the "transferred" attribute, there is
> "untransferred" – is there a similar thing for "transfer" as well?
> 
Not that I know of. Going from right to left is problematic with rules that have compound 
terms on the right-hand side (see below).

> 2. Relatedly, is there an easy idiomatic way to use "flipped" relators?
No. The capabilities of "transfer" are very much tailored to the needs of the lifting 
package. And there, you normally just go one way.


> 3. Sometimes, it is more convenient to prove transfer rules for
> functions following the pattern
> 
> lemma
>    assumes [transfer_rule]: "r1 a b" "r2 c d"
>    shows   "r3 (f a c) (f' b d)"
> 
> but if I declare that lemmas as a transfer_rule, it is not used. I have
> to explicitly prove "(r1 ===> r2 ===> r3) f f'" from this for it to be
> used. Is there some way around this?
> 
Again, nothing that I'm aware of. But it shouldn't be too hard to write an attribute that 
does the preprocessing.

> 4. There is currently no relator for measures. I came up with the
> following one, which works well for my purposes, but I think it is not a
> good relator because it only makes sense for bi-unique relators on the
> values.
> 
> definition rel_measure :: "('a ⇒ 'b ⇒ bool) ⇒ ('a measure ⇒ 'b measure ⇒
> bool)" where
>    "rel_measure r M1 M2 ⟷
>       rel_set r (space M1) (space M2) ∧
>       rel_set (rel_set r) (sets M1) (sets M2) ∧
>       (rel_set r ===> (=)) (emeasure M1) (emeasure M2)"
> 
> The definition of rel_pmf suggests something involving product measures
> would be the right way to go.

Yours doesn't look right. The relators coming out of the BNF package are all defined via 
the product, namely find a value z over pairs whose projections are the original two 
values x and y to be related such that the elements in z are contained in the relation r. 
While these definitions are canonical, they are hardly intuitive for custom type 
constructors and usually unwieldy to work with. For probability spaces, this product is 
commonly called a probabilistic coupling and I believe this would also be the right 
relator definition for general measures.

For rel_pmf, you find the characterization theorem in the AFP in 
MFMC_Countable.Rel_PMF_Characterization. Essentially, it says that rel_pmf R p q iff 
measure p A <= measure q (R `` A) for all A. I'm pretty sure that such a characterization 
can be generalized to arbitrary measures. Strassen has proven a number of theorems in that 
direction (https://www.jstor.org/stable/2238148).

> On a related note: suppose I defined my simple relator and then later on
> someone else defines another relator for measures. Would the rules then
> clash? Would one have to remove all the rules for my relator for things
> to still work smoothly?
> 
You'd get a clash for some things. In general, you want to register a few theorems for a 
relator (e.g., [relator_eq], [relator_mono], [quot_map]) and some of these attributes 
allow only one theorem per type constructor. So you can't register theorems for both 
relators. The plain transfer machinery can cope with several relators for the same type 
constructor (except for the function type) and I've used that occasionally. However, you 
have to be very careful to not end up with an exponentially large search space for transfer.

> 5. Is there any trick for proving transfer rules for constants defined
> by "inductive" or "fun" that I am unaware of? Doing the induction proofs
> manually is very tedious.
> 
I have looked into this previously. For inductive, I had a few ideas but eventually 
realized that it doesn't play well together with the current architecture of transfer. The 
problem is that like for the predicate compiler, an inductive definition may have 
different computational interpretations (modes in logic programming speak) and those 
interpretations lead to different relators in the resulting transfer rule (predicates vs. 
sets). While it's possible to convert between predicates and sets, this requires 
additional assumptions about the relations (typically bi_totality). However, as transfer 
does not really support multiple relators for the same type constructor, such a solution 
would be problematic. Moreover, there may be exponentially many transfer rules for an 
inductive predicate, in particular if you do a higher-order mode analysis similar to 
Lukas' work for the predicate compiler, so we'd end up creating an exponential number of 
transfer rules.

> 6. The constant "has_derivative" is not parametric (I think) because
> e.g. for "(f has_derivative D) at_top" you get "Lim (λx. x)", which
> equal to "THE x. False". However, in practice, F is always of the form
> "at x within A" and then has_derivative is parametric. But if I prove
> the transfer rule
> 
>    (r ===> r) ===> (r ===> r) ===> r ===> rel_set r ===> (=))
>    (λf D x A. (f has_derivative D) (at x within A))
>    (λf D x A. (f has_derivative D) (at x within A))
> 
> for some suitable relator r, it does not get used. The transfer package
> insists on a relator for "has_derivative". Of course, if I do an
> auxiliary definition for this and fold it before applying transfer, it
> works, but then I have a useless auxiliary function cluttering the
> namespace.
> 
The transfer package's algorithm assumes that the transferred term preserves function 
applications and abstractions, i.e., those are always transferred with rel_funI and 
rel_funD. Therefore, you cannot have a compound term on the left-hand side of a transfer 
rule; it will virtually never trigger. (The exception is if you have a constant on the 
right-hand side and use the untransferred attribute.) So your only chance here is to 
introduce an auxiliary constant and fold the definition before applying transfer.

There are other algorithms that one could use to support such compound terms. For example, 
Peter Lammich's Autoref tool supports compound terms in transfer rules, but that's not 
integrated with transfer.

> 7. In measure theory, there is the definition
> 
>    nn_integral :: 'a measure ⇒ ('a ⇒ ennreal) ⇒ ennreal
>    nn_integral M f =
>      Sup (simple_integral M `
>      {g. simple_function M g ∧ g ≤ f})
> 
> I was able to prove
> 
> lemma transfer_nn_integral [transfer_rule]:
>    assumes [transfer_rule]: "bi_unique r"
>    shows "(rel_measure r ===> (r ===> (=)) ===> (=))
>           nn_integral nn_integral"
> 
> but I needed some trickery to avoid "bi_total r" due to the use of
> "Collect". The reason why it works is that "simple_integral" only
> evaluates the function on values from "space M", so we can replace the
> set in question by
> 
>    {g. simple_function M g ∧ (∀x. x ∉ space M ⟶ f x = 0) ∧
>        ∀x∈space M. g x ≤ f x}
> 
> which can be shown (with quite a bit of pain!) to be parametric.
> 
> Is there some trick to make any of this easier?

I don't think so. These complications are very typical of proving transfer rules. More 
precisely, they just show how many shortcuts we're taking in our definitions in HOL 
because HOL is a logic of total functions. In ordinary mathematics, we'd say that `f` and 
`g` are only defined on `space M`. So the universal quantifier that's implicit in the 
original definition's `g <= f` would range only over `space M` anyway.

> 8. Is there any way of telling the transfer package that some rules have
> higher priority than others?
> 
Finally something that I can answer positively. "transfer" uses the [transfer_rule]s in 
inverse order, i.e., theorems that are declared as [transfer_rule] later have higher priority.

Hope this helps,
Andreas


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From: Mikhail Chekhov <mikhail.chekhov.w at gmail.com>
Date: Thu, 7 Jan 2021 01:30:35 +0200
Message-ID: <CACDt=MLRE3+pW=SLskeVNh+gdWeJ8fjNSpiw7+JCHnMQjzDEJg at mail.gmail.com>
To: cl-isabelle-users at lists.cam.ac.uk
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Subject: Re: [isabelle] Questions about "transfer"
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Dear All,

I would like to thank Andreas Lochbihler for providing a more elaborate
answer in the following post:
https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2021-January/msg00038.h=
tml.
I believe that there is one notable difference in our answers. More
specifically, the answer that was given by Andreas Lochbihler to question 5


> Is there any trick for proving transfer rules for constants defined
> by "inductive" or "fun" that I am unaware of? Doing the induction proofs
> manually is very tedious.
>
>
is as follows:


> I have looked into this previously. For inductive, I had a few ideas but
> eventually
> realized that it doesn't play well together with the current architecture
> of transfer. The
> problem is that like for the predicate compiler, an inductive definition
> may have
> different computational interpretations (modes in logic programming speak=
)
> and those
> interpretations lead to different relators in the resulting transfer rule
> (predicates vs.
> sets). While it's possible to convert between predicates and sets, this
> requires
> additional assumptions about the relations (typically bi_totality).
> However, as transfer
> does not really support multiple relators for the same type constructor,
> such a solution
> would be problematic. Moreover, there may be exponentially many transfer
> rules for an
> inductive predicate, in particular if you do a higher-order mode analysis
> similar to
> Lukas' work for the predicate compiler, so we'd end up creating an
> exponential number of
> transfer rules.
>
>
My own answer is also provided for reference:


> Yes, there is: see
> https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072=
.html.
> I would like to add to the suggestion in the post that, technically, ther=
e
> is little that is stopping one from recovering the original definitional
> axiom in Isabelle/ML using Thm.axiom (e.g. see the implementation of UD i=
n
> https://gitlab.com/user9716869/Isabelle-Complement-Library, but keep in
> mind that it is still in a reasonably rough experimental state) instead o=
f
> using the collection of theorems associated with nitpick. Providing furth=
er
> automation for this is on my own "to do" list, but it has a very low
> priority. If you decide to make an attempt to generalize/automate this
> idea, I would highly appreciate it if you could let me know about this to
> avoid possible duplication of efforts.
>
>
I would like to make an attempt to resolve any confusion that this
discrepancy may have caused. The scope of my answer was significantly more
narrow. More specifically, my answer assumes that, given a constant c
(defined as an inductive predicate), there is a term t (normally, also
defined with the help of an inductive predicate), a parametricity relation
R for the type of c, constructed under the assumption that the relators for
every non-nullary type constructor are known in advance and some side
conditions on the involved relations, also known in advance. Then, if the
transfer rule R t c exists under the aforementioned side conditions, then
its proof can often be automated using the transfer prover, assuming the
existence of the transfer rules for the constant lfp under compatible side
conditions, as showcased in
https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072.h=
tml.
The transfer rules for the lfp can often cover a significant number of
similar applications, possibly allowing for some degree of proof
automation. However, of course, as can be inferred from the answer given by
Andreas Lochbihler, it is hardly a fundamental solution. After all, the OP
asked for a 'trick' that could help to reduce the size of the proof, and I
tried to oblige by providing a trick :-).

Kind Regards,
Mikhail Chekhov

On Wed, Jan 6, 2021 at 1:20 AM Mikhail Chekhov <mikhail.chekhov.w at gmail.com=
>
wrote:

> Dear Manuel Eberl/All,
>
> I will allow myself to provide a few remarks as a regular user of the
> transfer infrastructure. Certainly, my own understanding of the framework
> is still somewhat limited. However, hopefully, my advice will help to get
> rid of the questions that are less difficult.
>
>
>> 1. It seems to me that "transfer" always transfers theorems
>> "left-to-right". For the "transferred" attribute, there is
>> "untransferred" =E2=80=93 is there a similar thing for "transfer" as wel=
l?
>>
>>
> Similar questions have been asked before and the answer seems to be
> negative (
> https://lists.cam.ac.uk/mailman/htdig/cl-isabelle-users/2019-July/msg0001=
3.html
> ).
>
>
>> 3. Sometimes, it is more convenient to prove transfer rules for
>> functions following the pattern
>> lemma
>>   assumes [transfer_rule]: "r1 a b" "r2 c d"
>>   shows   "r3 (f a c) (f' b d)"
>> but if I declare that lemmas as a transfer_rule, it is not used. I have
>> to explicitly prove "(r1 =3D=3D=3D> r2 =3D=3D=3D> r3) f f'" from this fo=
r it to be
>> used. Is there some way around this?
>>
>>
> In certain circumstances, the rules stated in a similar format can be
> used. For example,
>
> context
>   includes lifting_syntax
>   fixes r1 r2 r3 :: "'a =E2=87=92 'b =E2=87=92 bool"
>     and f :: "'a =E2=87=92 'a =E2=87=92 'a" and f' :: "'b =E2=87=92 'b =
=E2=87=92 'b"
>   assumes [transfer_rule]: "bi_unique r3"
>     and [transfer_rule]: "r1 a b =E2=9F=B9 r2 c d =E2=9F=B9 r3 (f a c) (f=
' b d)"
> begin
>
> lemma
>   assumes [transfer_rule]: "r1 a b" "r2 c d"
>   shows "f' b d =3D f' b d"
>   by transfer (rule refl)
>
> end
>
> In this case, "r1 a b" and "r2 c d" are treated as side conditions, and
> the transfer infrastructure has some limited support for such
> unconventional side conditions (however, I am not certain as to what is t=
he
> extent of such support).
>
> If it is more convenient to prove a transfer rule in the form that you
> have stated, then you can always use (intro rel_funI) to perform the
> conversion, e.g.
>
> lemma
>   includes lifting_syntax
>   shows "(r1 =3D=3D=3D> r2 =3D=3D=3D> r3) f f'"
>   apply(intro rel_funI)
>   (*=E2=8B=80x y xa ya. r1 x y =E2=9F=B9 r2 xa ya =E2=9F=B9 r3 (f x xa) (=
f' y ya)*)
>
>
>> 5. Is there any trick for proving transfer rules for constants defined
>> by "inductive" or "fun" that I am unaware of? Doing the induction proofs
>> manually is very tedious.
>>
>>
> Yes, there is: see
> https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072=
.html.
> I would like to add to the suggestion in the post that, technically, ther=
e
> is little that is stopping one from recovering the original definitional
> axiom in Isabelle/ML using Thm.axiom (e.g. see the implementation of UD i=
n
> https://gitlab.com/user9716869/Isabelle-Complement-Library, but keep in
> mind that it is still in a reasonably rough experimental state) instead o=
f
> using the collection of theorems associated with nitpick. Providing furth=
er
> automation for this is on my own "to do" list, but it has a very low
> priority. If you decide to make an attempt to generalize/automate this
> idea, I would highly appreciate it if you could let me know about this to
> avoid possible duplication of efforts.
>
>
>> 7. In measure theory, there is the definition
>>   nn_integral :: 'a measure =E2=87=92 ('a =E2=87=92 ennreal) =E2=87=92 e=
nnreal
>>   nn_integral M f =3D
>>     Sup (simple_integral M `
>>     {g. simple_function M g =E2=88=A7 g =E2=89=A4 f})
>> I was able to prove
>> lemma transfer_nn_integral [transfer_rule]:
>>   assumes [transfer_rule]: "bi_unique r"
>>   shows "(rel_measure r =3D=3D=3D> (r =3D=3D=3D> (=3D)) =3D=3D=3D> (=3D)=
)
>>          nn_integral nn_integral"
>> but I needed some trickery to avoid "bi_total r" due to the use of
>> "Collect". The reason why it works is that "simple_integral" only
>> evaluates the function on values from "space M", so we can replace the
>> set in question by
>>   {g. simple_function M g =E2=88=A7 (=E2=88=80x. x =E2=88=89 space M =E2=
=9F=B6 f x =3D 0) =E2=88=A7
>>       =E2=88=80x=E2=88=88space M. g x =E2=89=A4 f x}
>> which can be shown (with quite a bit of pain!) to be parametric.
>> Is there some trick to make any of this easier?
>>
>>
> I cannot be certain, but it appears that a pattern similar to the one tha=
t
> you suggest was used in published work by those whom I would consider to =
be
> well-versed in the functionality of transfer (e.g. see the code associate=
d
> with [1]). Thus, it is likely that the problem does not have a generic
> solution. However, I would be happy to be wrong about this, as my own wor=
k
> would benefit from having such a solution.
>
> In this context, I wonder if the types of algorithms used in the work of
> Peter Lammich (e.g. [2] and other related articles) would handle this
> scenario. I would certainly appreciate any comments from him.
>
>
>> 8. Is there any way of telling the transfer package that some rules have
>> higher priority than others?
>>
>>
> A slightly hacky way would be to simply rearrange the transfer_raw
> programmatically, as you need. Practically, in most circumstances, this
> should not be needed. One can always write lemmas [transfer_rule] =3D
> (*relevant rules that need to have a higher priority*). The duplicates wi=
ll
> not be produced: the theorems in transfer_raw will simply be rearranged
> with the restated rules at the top of the list.
>
> Kind Regards,
> Mikhail Chekhov
>
> [1]. Immler F, Zhan B. Smooth Manifolds and Types to Sets for Linear
> Algebra in Isabelle/HOL. In: 8th ACM SIGPLAN International Conference on
> Certified Programs and Proofs. New York: ACM; 2019. p. 65=E2=80=9377. (CP=
P 2019).
> [2]. Lammich P. Automatic Data Refinement. In: Blazy S, Paulin-Mohring C,
> Pichardie D, editors. Interactive Theorem Proving. Heidelberg: Springer;
> 2013. p. 84=E2=80=9399.
>

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<div dir=3D"ltr">Dear All,<br><div><br></div><div>I would like to thank And=
reas Lochbihler for providing a more elaborate answer in the following post=
:=C2=A0<a href=3D"https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2021-=
January/msg00038.html">https://lists.cam.ac.uk/pipermail/cl-isabelle-users/=
2021-January/msg00038.html</a>. I believe that there is one notable differe=
nce in our answers. More specifically, the answer that was given by Andreas=
 Lochbihler to question 5=C2=A0</div><div><br></div><blockquote class=3D"gm=
ail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,=
204,204);padding-left:1ex"><br>Is there any trick for proving transfer rule=
s for constants defined<br>by &quot;inductive&quot; or &quot;fun&quot; that=
 I am unaware of? Doing the induction proofs<br>manually is very tedious.<b=
r><br></blockquote><div><br></div><div>is as follows:</div><div><br></div><=
blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-l=
eft:1px solid rgb(204,204,204);padding-left:1ex"><br>I have looked into thi=
s previously. For inductive, I had a few ideas but eventually<br> realized =
that it doesn&#39;t play well together with the current architecture of tra=
nsfer. The<br> problem is that like for the predicate compiler, an inductiv=
e definition may have<br> different computational interpretations (modes in=
 logic programming speak) and those<br> interpretations lead to different r=
elators in the resulting transfer rule (predicates vs.<br> sets). While it&=
#39;s possible to convert between predicates and sets, this requires<br> ad=
ditional assumptions about the relations (typically bi_totality). However, =
as transfer<br> does not really support multiple relators for the same type=
 constructor, such a solution<br> would be problematic. Moreover, there may=
 be exponentially many transfer rules for an<br> inductive predicate, in pa=
rticular if you do a higher-order mode analysis similar to<br> Lukas&#39; w=
ork for the predicate compiler, so we&#39;d end up creating an exponential =
number of<br> transfer rules.<br><br></blockquote><div><br></div><div>My ow=
n answer is also provided for reference:<br></div><div><br></div><blockquot=
e class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px s=
olid rgb(204,204,204);padding-left:1ex"><br>Yes, there is: see <a href=3D"h=
ttps://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072.ht=
ml">https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg000=
72.html</a>. I would like to add to the suggestion in the post that, techni=
cally, there is little that is stopping one from recovering the original de=
finitional axiom in Isabelle/ML using Thm.axiom (e.g. see the implementatio=
n of UD in <a href=3D"https://gitlab.com/user9716869/Isabelle-Complement-Li=
brary">https://gitlab.com/user9716869/Isabelle-Complement-Library</a>, but =
keep in mind that it is still in a reasonably rough experimental state) ins=
tead of using the collection of theorems associated with nitpick. Providing=
 further automation for this is on my own &quot;to do&quot; list, but it ha=
s a very low priority. If you decide to make an attempt to generalize/autom=
ate this idea, I would highly appreciate it if you could let me know about =
this to avoid possible duplication of efforts.=C2=A0<br><br></blockquote><d=
iv><br></div><div>I would like to make an attempt to resolve any confusion =
that this discrepancy may have caused. The scope of my answer was significa=
ntly more narrow. More specifically, my answer assumes that, given a consta=
nt c (defined as an inductive predicate), there is a term t (normally, also=
 defined with the help of an inductive predicate), a parametricity relation=
 R for the type of c, constructed under the assumption that the relators fo=
r every non-nullary type constructor are known in advance and some side con=
ditions on the involved relations, also known in advance. Then, if the tran=
sfer rule R t c exists under the aforementioned side conditions, then its p=
roof can often be automated using the transfer prover, assuming the existen=
ce of the transfer rules for the constant lfp under compatible side conditi=
ons, as showcased in=C2=A0<a href=3D"https://lists.cam.ac.uk/pipermail/cl-i=
sabelle-users/2019-January/msg00072.html">https://lists.cam.ac.uk/pipermail=
/cl-isabelle-users/2019-January/msg00072.html</a>. The transfer rules for t=
he lfp can often cover a significant number of similar applications, possib=
ly allowing for some degree of proof automation. However, of course, as can=
 be inferred from the answer given by Andreas Lochbihler, it is hardly a fu=
ndamental solution. After all, the OP asked for a &#39;trick&#39; that coul=
d help to reduce the size of the proof, and I tried to oblige by providing =
a trick :-).=C2=A0</div><div><br></div><div>Kind Regards,</div><div>Mikhail=
 Chekhov</div></div><br><div class=3D"gmail_quote"><div dir=3D"ltr" class=
=3D"gmail_attr">On Wed, Jan 6, 2021 at 1:20 AM Mikhail Chekhov &lt;<a href=
=3D"mailto:mikhail.chekhov.w at gmail.com">mikhail.chekhov.w at gmail.com</a>&gt;=
 wrote:<br></div><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px =
0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir=
=3D"ltr">Dear Manuel Eberl/All,<div><br></div><div>I will allow myself to p=
rovide a few remarks=C2=A0as a regular user of the transfer infrastructure.=
 Certainly, my own understanding of the framework is still somewhat limited=
. However, hopefully, my advice will help to get rid of the questions that =
are less difficult.<br><br><blockquote class=3D"gmail_quote" style=3D"margi=
n:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex=
"><br>1. It seems to me that &quot;transfer&quot; always transfers theorems=
<br>&quot;left-to-right&quot;. For the &quot;transferred&quot; attribute, t=
here is<br>&quot;untransferred&quot; =E2=80=93 is there a similar thing for=
 &quot;transfer&quot; as well?<br><br></blockquote></div><div><br></div><di=
v>Similar questions have been asked before and the answer seems to be negat=
ive (<a href=3D"https://lists.cam.ac.uk/mailman/htdig/cl-isabelle-users/201=
9-July/msg00013.html" target=3D"_blank">https://lists.cam.ac.uk/mailman/htd=
ig/cl-isabelle-users/2019-July/msg00013.html</a>).=C2=A0<br><br><blockquote=
 class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px so=
lid rgb(204,204,204);padding-left:1ex"><br>3. Sometimes, it is more conveni=
ent to prove transfer rules for<br>functions following the pattern<br>lemma=
<br>=C2=A0 assumes [transfer_rule]: &quot;r1 a b&quot; &quot;r2 c d&quot;<b=
r>=C2=A0 shows =C2=A0 &quot;r3 (f a c) (f&#39; b d)&quot;<br>but if I decla=
re that lemmas as a transfer_rule, it is not used. I have<br>to explicitly =
prove &quot;(r1 =3D=3D=3D&gt; r2 =3D=3D=3D&gt; r3) f f&#39;&quot; from this=
 for it to be<br>used. Is there some way around this?<br><br></blockquote><=
/div><div><br></div><div>In certain circumstances, the rules stated in a si=
milar format can be used. For example,</div><div><br></div><div>context <br=
>=C2=A0 includes lifting_syntax<br>=C2=A0 fixes r1 r2 r3 :: &quot;&#39;a =
=E2=87=92 &#39;b =E2=87=92 bool&quot;<br>=C2=A0 =C2=A0 and f :: &quot;&#39;=
a =E2=87=92 &#39;a =E2=87=92 &#39;a&quot; and f&#39; :: &quot;&#39;b =E2=87=
=92 &#39;b =E2=87=92 &#39;b&quot;<br>=C2=A0 assumes [transfer_rule]: &quot;=
bi_unique r3&quot;<br>=C2=A0 =C2=A0 and [transfer_rule]: &quot;r1 a b =E2=
=9F=B9 r2 c d =E2=9F=B9 r3 (f a c) (f&#39; b d)&quot;<br>begin<br><br>lemma=
<br>=C2=A0 assumes [transfer_rule]: &quot;r1 a b&quot; &quot;r2 c d&quot; =
=C2=A0<br>=C2=A0 shows &quot;f&#39; b d =3D f&#39; b d&quot;<br>=C2=A0 by t=
ransfer (rule refl)<br><br>end<br><br>In this case, &quot;r1 a b&quot; and =
&quot;r2 c d&quot; are treated as side conditions, and the transfer infrast=
ructure has some limited support for such unconventional side conditions (h=
owever, I am not certain as to what is the extent of such support).</div><d=
iv><br></div><div>If it is more convenient to prove a transfer rule in the =
form that you have stated, then you can always use (intro rel_funI) to perf=
orm the conversion, e.g.</div><div><br></div><div>lemma <br>=C2=A0 includes=
 lifting_syntax<br>=C2=A0 shows &quot;(r1 =3D=3D=3D&gt; r2 =3D=3D=3D&gt; r3=
) f f&#39;&quot;<br>=C2=A0 apply(intro rel_funI)<br></div><div>=C2=A0 (*=E2=
=8B=80x y xa ya. r1 x y =E2=9F=B9 r2 xa ya =E2=9F=B9 r3 (f x xa) (f&#39; y =
ya)*)<br><br></div><blockquote class=3D"gmail_quote" style=3D"margin:0px 0p=
x 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><br>5.=
 Is there any trick for proving transfer rules for constants defined<br>by =
&quot;inductive&quot; or &quot;fun&quot; that I am unaware of? Doing the in=
duction proofs<br>manually is very tedious.<br><br></blockquote><div><br></=
div><div>Yes, there is: see=C2=A0<a href=3D"https://lists.cam.ac.uk/piperma=
il/cl-isabelle-users/2019-January/msg00072.html" target=3D"_blank">https://=
lists.cam.ac.uk/pipermail/cl-isabelle-users/2019-January/msg00072.html</a>.=
 I would like to add to the suggestion in the post that, technically, there=
 is little that is stopping one from recovering the original definitional a=
xiom in Isabelle/ML using Thm.axiom (e.g. see the implementation of UD in <=
a href=3D"https://gitlab.com/user9716869/Isabelle-Complement-Library" targe=
t=3D"_blank">https://gitlab.com/user9716869/Isabelle-Complement-Library</a>=
, but keep in mind that it is still in a reasonably rough experimental stat=
e) instead of using the collection of theorems associated with nitpick. Pro=
viding further automation for this is on my own &quot;to do&quot; list, but=
 it has a very low priority. If you decide to make an attempt to generalize=
/automate this idea, I would highly appreciate it if you could let me know =
about this to avoid possible duplication of efforts.=C2=A0</div><div><br><b=
lockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-le=
ft:1px solid rgb(204,204,204);padding-left:1ex"><br>7. In measure theory, t=
here is the definition<br>=C2=A0 nn_integral :: &#39;a measure =E2=87=92 (&=
#39;a =E2=87=92 ennreal) =E2=87=92 ennreal<br>=C2=A0 nn_integral M f =3D<br=
>=C2=A0 =C2=A0 Sup (simple_integral M `<br>=C2=A0 =C2=A0 {g. simple_functio=
n M g =E2=88=A7 g =E2=89=A4 f})<br>I was able to prove<br>lemma transfer_nn=
_integral [transfer_rule]:<br>=C2=A0 assumes [transfer_rule]: &quot;bi_uniq=
ue r&quot;<br>=C2=A0 shows &quot;(rel_measure r =3D=3D=3D&gt; (r =3D=3D=3D&=
gt; (=3D)) =3D=3D=3D&gt; (=3D))<br>=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0nn_int=
egral nn_integral&quot;<br>but I needed some trickery to avoid &quot;bi_tot=
al r&quot; due to the use of<br>&quot;Collect&quot;. The reason why it work=
s is that &quot;simple_integral&quot; only<br>evaluates the function on val=
ues from &quot;space M&quot;, so we can replace the<br>set in question by<b=
r>=C2=A0 {g. simple_function M g =E2=88=A7 (=E2=88=80x. x =E2=88=89 space M=
 =E2=9F=B6 f x =3D 0) =E2=88=A7<br>=C2=A0 =C2=A0 =C2=A0 =E2=88=80x=E2=88=88=
space M. g x =E2=89=A4 f x}<br>which can be shown (with quite a bit of pain=
!) to be parametric.<br>Is there some trick to make any of this easier?<br>=
<br></blockquote></div><div><br></div><div>I cannot be certain, but it appe=
ars that a pattern similar to the one that you suggest was used in publishe=
d work by those whom I would consider to be well-versed in the functionalit=
y of transfer (e.g. see the code associated with [1]). Thus, it is likely t=
hat the problem does not have a generic solution. However, I would be happy=
 to be wrong about this, as my own work would benefit from having such a so=
lution.=C2=A0</div><div><br></div><div>In this context, I wonder if the typ=
es of algorithms used in the work of Peter Lammich (e.g. [2] and other rela=
ted articles) would handle this scenario. I would certainly appreciate any =
comments from him.</div><div><br><blockquote class=3D"gmail_quote" style=3D=
"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-le=
ft:1ex"><br>8. Is there any way of telling the transfer package that some r=
ules have<br>higher priority than others?<br><br></blockquote><div><br></di=
v>A slightly hacky way would be to simply rearrange the transfer_raw progra=
mmatically, as you need. Practically, in most circumstances, this should no=
t be needed. One can always write lemmas [transfer_rule] =3D (*relevant rul=
es that need to have a higher priority*). The duplicates will not be produc=
ed: the theorems in transfer_raw will simply be rearranged with the restate=
d rules at the top of the list.</div><div><br></div><div>Kind Regards,</div=
><div>Mikhail Chekhov</div><div><br></div><div>[1]. Immler F, Zhan B. Smoot=
h Manifolds and Types to Sets for Linear Algebra in Isabelle/HOL. In: 8th A=
CM SIGPLAN International Conference on Certified Programs and Proofs. New Y=
ork: ACM; 2019. p. 65=E2=80=9377. (CPP 2019).=C2=A0<br></div><div>[2]. Lamm=
ich P. Automatic Data Refinement. In: Blazy S, Paulin-Mohring C, Pichardie =
D, editors. Interactive Theorem Proving. Heidelberg: Springer; 2013. p. 84=
=E2=80=9399.=C2=A0<br></div></div>
</blockquote></div>

--00000000000070872405b843b620--


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Date: Wed, 6 Jan 2021 17:12:14 +0000
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Cc: a.popescu at sheffield.ac.uk
Subject: [isabelle] fully funded PhD position on verification of industrial
	robots at University of Sheffield -- application deadline coming soon
	(Jan. 13)
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Greetings,

This fast approaching deadline could be of interest to UK or EU
residents currently looking for a PhD position and willing to start in
mid February. It is an opportunity to do high impact verification
research in an excellent academic environment. Background in
robotics is not required. The program is for 3.5 years, with no
teaching obligations. There is the possibility to work remotely until
the pandemic is over.

The PhD will be supervised by myself (https://www.andreipopescu.uk/)
in collaboration with experts from Sheffield's Advanced Manufacturing
Research Centre (https://www.amrc.co.uk/). So far, my students have
published in top tier conferences such as CAV, LICS, ICFP, IJCAR, POPL
and Oakland S&P on the topics of their PhD and MSc dissertations.

More details on the position can be found at:

https://www.findaphd.com/phds/project/formal-specification-and-verification-of-the-safe-interaction-between-humans-and-industrial-robots/?p127388

Please feel free to contact me with any questions.

Best wishes,
Andrei


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Subject: Re: [isabelle] Isabelle2021-RC1 - error highlighting
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On 06/01/2021 15:42, Mathias Fleury wrote:
> 
> The error highlighting does not include the tactics anymore:
> 
> 
> Is that the expected behavior? I find error harder to find in a buffer.

So what is actually the error? (It would be better to have a reproducible
example).


Here is an example that works:

theory Scratch
  imports FOL
begin

lemma A B C by auto

end


As expected, the error for the proof method (not tactic) "auto" is "Failed to
apply initial proof method" over the text "auto".


	Makarius


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To: Makarius <makarius at sketis.net>,
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References: <91b26add-8e71-0905-ae47-c7b6481a9ce6 at gmail.com>
	<8412cef7-4fb9-a7bc-d783-5b61d49bc09c at sketis.net>
From: Mathias Fleury <mathias.fleury12 at gmail.com>
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Subject: Re: [isabelle] Isabelle2021-RC1 - error highlighting
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Hello Makarius,


The error is that the red error highlighting (the big red background 
that is shown in Isabelle/jEdit) does not extend past the "by". Here a 
screenshot with Isabelle 2020 and 2021-RC1 for comparison:

I prefer the old behavior, but the new one is consistent. This happens 
on every error wrong "by", which is why I did not provide a theory. The 
one from the screenshot is:

theory Scratch
   imports Main
begin
lemma A B C by auto
end


Mathias

On 07/01/2021 14:57, Makarius wrote:
> On 06/01/2021 15:42, Mathias Fleury wrote:
>> The error highlighting does not include the tactics anymore:
>>
>>
>> Is that the expected behavior? I find error harder to find in a buffer.
> So what is actually the error? (It would be better to have a reproducible
> example).
>
>
> Here is an example that works:
>
> theory Scratch
>    imports FOL
> begin
>
> lemma A B C by auto
>
> end
>
>
> As expected, the error for the proof method (not tactic) "auto" is "Failed to
> apply initial proof method" over the text "auto".
>
>
> 	Makarius

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<html>
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
  </head>
  <body>
    <p>Hello Makarius,</p>
    <p><br>
    </p>
    <p>The error is that the red error highlighting (the big red
      background that is shown in Isabelle/jEdit) does not extend past
      the "by". Here a screenshot with Isabelle 2020 and 2021-RC1 for
      comparison:<br>
    </p>
    <p><img src="cid:part1.C81A6BE9.3F673564 at gmail.com" alt=""></p>
    <div class="moz-cite-prefix">I prefer the old behavior, but the new
      one is consistent. This happens on every error wrong "by", which
      is why I did not provide a theory. The one from the screenshot is:<br>
    </div>
    <div class="moz-cite-prefix"><font face="monospace"><br>
      </font></div>
    <div class="moz-cite-prefix"><font face="monospace">theory
        Scratch           <br>
          imports Main<br>
        begin<br>
        lemma A B C by auto<br>
        end<br>
      </font><br>
    </div>
    <div class="moz-cite-prefix"><br>
    </div>
    <div class="moz-cite-prefix">Mathias<br>
    </div>
    <div class="moz-cite-prefix"><br>
    </div>
    <div class="moz-cite-prefix">On 07/01/2021 14:57, Makarius wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:8412cef7-4fb9-a7bc-d783-5b61d49bc09c at sketis.net">
      <pre class="moz-quote-pre" wrap="">On 06/01/2021 15:42, Mathias Fleury wrote:
</pre>
      <blockquote type="cite">
        <pre class="moz-quote-pre" wrap="">
The error highlighting does not include the tactics anymore:


Is that the expected behavior? I find error harder to find in a buffer.
</pre>
      </blockquote>
      <pre class="moz-quote-pre" wrap="">
So what is actually the error? (It would be better to have a reproducible
example).


Here is an example that works:

theory Scratch
  imports FOL
begin

lemma A B C by auto

end


As expected, the error for the proof method (not tactic) "auto" is "Failed to
apply initial proof method" over the text "auto".


	Makarius
</pre>
    </blockquote>
  </body>
</html>

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--------------00140C199E1A1EB5EE1302F2--


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Cc: Isabelle <isabelle-users at cl.cam.ac.uk>
Subject: Re: [isabelle] Custom fonts in browser_info html?
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I guess I am something of a crank in this respect, but I have edited a =
custom copy of IsabelleDejaVuSansMono mainly with copies of existing =
glyphs inserted in the "free space=E2=80=9D areas of UNICODE. This lets =
me do things like have several <=3D characters for different order-like =
applications and avoid both ugly maths and ambiguous syntax.

Obviously it would be easier if several isasymbols could be bound to the =
same glyph code in the symbols file.

Also have some composite glyphs, more maths alpha-numerics and other =
custom jobs.

It would also be nice if some of these custom glyphs could be used in =
variable names.

Brendan

> On 3 Jan 2021, at 10:33 pm, Makarius <makarius at sketis.net> wrote:
>=20
> On 06/04/2020 02:50, Dr. Brendan Patrick Mahony wrote:
>> Is there an approved/supported facility for handling symbol glyphs =
from custom fonts in the html generated in the html files generated by=20=

>> "build -o browser_info=E2=80=9D?
>>=20
>> At first blush it seems to ignore the font information in the symbols =
file and just expects the glyph to be in IsabelleDejaVuSansMono.ttf.
>>=20
>=20
> A rather old thread, but still current: in the past few weeks I have =
reworked
> the HTML output a lot, a some details might still change for =
Isabelle2021
> (February 2021).
>=20
> I don't forsee ways to specify fonts right now, but maybe you want to =
explain
> your application. Which font, which glyphs are you using in =
particular?
>=20
>=20
> 	Makarius
>=20
>=20



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Cc: Isabelle <isabelle-users at cl.cam.ac.uk>
Subject: Re: [isabelle] Custom fonts in browser_info html?
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On 08/01/2021 05:09, Dr. Brendan Patrick Mahony wrote:
> I guess I am something of a crank in this respect, but I have edited a custom copy of IsabelleDejaVuSansMono mainly with copies of existing glyphs inserted in the "free space” areas of UNICODE. This lets me do things like have several <= characters for different order-like applications and avoid both ugly maths and ambiguous syntax.
> 
> Obviously it would be easier if several isasymbols could be bound to the same glyph code in the symbols file.
> 
> Also have some composite glyphs, more maths alpha-numerics and other custom jobs.
> 
> It would also be nice if some of these custom glyphs could be used in variable names.

This sounds like major changes to the standard setup. Can you show me this
edited font privately, so that I get a better idea what you found missing?


	Makarius


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Subject: Re: [isabelle] Isabelle2021-RC1 - error highlighting
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On 07/01/2021 16:40, Mathias Fleury wrote:
> 
> The error is that the red error highlighting (the big red background that is
> shown in Isabelle/jEdit) does not extend past the "by". Here a screenshot with
> Isabelle 2020 and 2021-RC1 for comparison:
> 
> I prefer the old behavior, but the new one is consistent. This happens on
> every error wrong "by", which is why I did not provide a theory.

I have studied the history in more detail. The old behaviour was a consequence of

changeset:   49037:d7a1973b063c
user:        wenzelm
date:        Fri Aug 31 14:35:04 2012 +0200
files:       src/Pure/PIDE/command.scala src/Pure/goal.ML
src/Tools/jEdit/src/isabelle_rendering.scala
description:
more markup for failed goal forks, reusing "bad";


The new behaviour is a consequence of

The first bad revision is:
changeset:   72699:eca176f773e0
user:        wenzelm
date:        Wed Nov 25 13:12:31 2020 +0100
summary:     removed pointless case: messages should always carry proper position;


The latter belongs to minor rearrangements to support PIDE markup in
batch-builds: that is a big thing, with many future applications. Thus the
former "core_range" of a command is no longer well-defined in Isabelle/Scala,
and Isabelle/ML needs to provide a proper position on its own account.

So in the current state of affairs (Isabelle/3df45de0c079), the observed
behaviour of Isabelle2021-RC1 is officially correct and intended: something
else requires more force to be applied.


Also note that in 2012 there was still a tendency to have a lot of color
spilled over the source text.


	Makarius


From kuba at kadziolka.net Fri Jan 08 22:34:26 2021
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To: <cl-isabelle-users at lists.cam.ac.uk>
Date: Fri, 08 Jan 2021 23:24:02 +0100
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Subject: [isabelle] Variable both free and bound?!
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Hello,

consider the following theory:

theory Scratch
  imports Main
begin

fun inc :: "nat =E2=87=92 nat" where
  "inc x =3D Suc x"

definition inc' :: "nat =E2=87=92 nat" where
  "inc' x =3D Suc x"

end

When you hover over either of the x's in fun inc (with Ctrl held), the
following tooltip appears:

  free variable
  bound variable
  :: nat

Similarily, the tooltip for the x's in definition inc' is:

  free variable
  :: nat
  bound variable

(these observations are equally valid for both Isabelle2020 and
Isabelle2021-RC1)

I find this quite curious, as 'free' and 'bound' seem to be polar
opposites...

Kind regards,
Jakub K=C4=85dzio=C5=82ka


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Subject: [isabelle] [TFP'21] final call for papers: Trends in Functional
	Programming 2021,
	17-19 February (online event with Lambda Days 2021 & TFPIE 2021)
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-------------------------------------------------------------------------
                       Final call for papers
         22nd Symposium on Trends in Functional Programming
                           tfp2021.org
                    *deadline: January 15 2021*
-------------------------------------------------------------------------

Did you miss the deadline to submit a paper to Trends in Functional 
Programming
http://tfp2021.org/? No worries -- it's not too late!
Submission is open until January 15th 2021, for a presentation slot at 
the event
and post-symposium reviewing.

The symposium on Trends in Functional Programming (TFP) is an international
forum for researchers with interests in all aspects of functional 
programming,
taking a broad view of current and future trends in the area. It aspires 
to be
a lively environment for presenting the latest research results, and other
contributions.

* TFP offers a supportive reviewing process designed to help less 
experienced
   authors succeed, with two rounds of review, both before and after the
   symposium itself. Authors have an opportunity to address reviewers' 
concerns
   before final decisions on publication in the proceedings.

* TFP offers two "best paper" awards, the John McCarthy award for best 
paper,
   and the David Turner award for best student paper.

* TFP is co-located with Lambda Days in beautiful Krakow. Lambda Days is 
a vibrant
   developer conference with hundreds of attendees and a lively 
programme of talks on
   functional programming in practice. Due to the covid pandemic, the 
event is online
   with a lot of attention to interaction and getting to socialize with 
the community.


Important Dates
---------------

Submission deadline for pre-symposium review:   20th November, 2020  -- 
passed --
Submission deadline for draft papers:           15th January, 2021
Symposium dates:                                17-19th February, 2021

Visit http://tfp2021.org/ for more information.



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Cc: Sebastian Skalberg <skalberg at apple.com>
Subject: Re: [isabelle] Isabelle2021-RC1 - editing below sometimes causes
	rechecking above?
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Hi,

I have seen similar unexpected behavior and found a way to reproduce it =
somewhat reliably:
Consider the following lemma statement and proof.
Steps to reproduce superfluous rechecking:

1) Have Isabelle check the whole proof.
2) Scroll down such that the first `apply (simp =E2=80=A6)` is out of =
the visible part of the buffer.
3) Edit the last apply command (e.g., remove `eval_nat_numeral`)

lemma
 "fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5 =E2=88=A7
 fact 6 =3D (6::nat) * fact 5"
   apply (intro conjI)
               apply (simp add: eval_nat_numeral)
              apply (simp add: eval_nat_numeral)
             apply (simp add: eval_nat_numeral)
            apply (simp add: eval_nat_numeral)
           apply (simp add: eval_nat_numeral)
          apply (simp add: eval_nat_numeral)
         apply (simp add: eval_nat_numeral)
        apply (simp add: eval_nat_numeral)
       apply (simp add: eval_nat_numeral)
      apply (simp add: eval_nat_numeral)
     apply (simp add: eval_nat_numeral)
    apply (simp add: eval_nat_numeral)
   apply (simp add: eval_nat_numeral)
   done

This rechecking is limited to a single lemma statement, but note that I =
have seen unexpected rechecking also across lemma statements.

Best wishes,
Fabian

> On 6. Jan 2021, at 15:34, Eugene W. Stark <isabelle-users at =
starkeffect.com <http://starkeffect.com/>> wrote:
>=20
> Using Isabelle2021-RC1 I am noticing an unexpected behavior that did =
not occur in previous versions:
> editing at the tail end of a proof under construction sometimes seems =
to trigger re-checking of
> material before the point at which editing is occurring.  At least, I =
make some edit and I see
> highlighting briefly flash on the text earlier than where I am =
editing, as if rechecking has been
> triggered on that part.  I cannot tell how far back the rechecking =
occurs -- in lemmas I have
> just been working on it goes at least back to the beginning of the =
lemma being proved and perhaps
> to previous lemmas.  It might be associated with the insertion and =
deletion of "try", but I am
> not sure at this time.  Using "try" as a way of verifying statements =
as I am sketching out a
> proof is pretty fundamental to how I do things, so I am constantly =
taking "try" in and out of
> the editing buffer.
>=20
> This is something that is is hard to describe how to reproduce, other =
than to say try writing
> a proof and keep your eyes open for apparent rechecking before the =
point of edit.  Perhaps this
> report is enough to suggest what change might have been made that =
would cause this.

--Apple-Mail=_442FDBA7-3CAF-405D-973C-BA88CF613F42
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<html><head><meta http-equiv=3D"Content-Type" content=3D"text/html; =
charset=3Dutf-8"></head><body style=3D"word-wrap: break-word; =
-webkit-nbsp-mode: space; line-break: after-white-space;" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">Hi,</span><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D"">I have seen similar unexpected behavior =
and found a way to reproduce it somewhat reliably:</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">Consider the following lemma statement and proof.</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">Steps to reproduce superfluous rechecking:</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">1) =
Have Isabelle check the whole proof.</span><br style=3D"caret-color: =
rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color:=
 rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">2) Scroll down such that =
the first `apply (simp =E2=80=A6)` is out of the visible part of the =
buffer.</span><br style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, =
0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, =
0, 0);" class=3D"">3) Edit the last apply command (e.g., remove =
`eval_nat_numeral`)</span><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D"">lemma</span><br style=3D"caret-color: =
rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color:=
 rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">&nbsp;"fact 6 =3D =
(6::nat) * fact 5 =E2=88=A7</span><br style=3D"caret-color: rgb(0, 0, =
0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, =
0, 0); color: rgb(0, 0, 0);" class=3D"">&nbsp;fact 6 =3D (6::nat) * fact =
5 =E2=88=A7</span><br style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, =
0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =
=E2=88=A7</span><br style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, =
0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, =
0, 0);" class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5 =E2=88=A7</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;fact 6 =3D (6::nat) * fact 5"</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;apply (intro conjI)</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;apply (simp add: eval_nat_numeral)</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;apply (simp add: eval_nat_numeral)</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;apply (simp add: eval_nat_numeral)</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;apply (simp add: eval_nat_numeral)</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;apply (simp add: eval_nat_numeral)</span><br style=3D"caret-color: =
rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color:=
 rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;app=
ly (simp add: eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, =
0, 0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: =
rgb(0, 0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;apply =
(simp add: eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, =
0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, =
0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;apply (simp =
add: eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, =
0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;apply (simp add: =
eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;apply=
 (simp add: eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, =
0); color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, =
0, 0); color: rgb(0, 0, 0);" =
class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;apply (simp add: =
eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D"">&nbsp;&nbsp;&nbsp;&nbsp;apply (simp =
add: eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, =
0); color: rgb(0, 0, 0);" class=3D"">&nbsp;&nbsp;&nbsp;apply (simp add: =
eval_nat_numeral)</span><br style=3D"caret-color: rgb(0, 0, 0); color: =
rgb(0, 0, 0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D"">&nbsp;&nbsp;&nbsp;done</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">This=
 rechecking is limited to a single lemma statement, but note that I have =
seen unexpected rechecking also across lemma statements.</span><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><br =
style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D""><span=
 style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class=3D"">Best=
 wishes,</span><br style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, 0, =
0);" class=3D""><span style=3D"caret-color: rgb(0, 0, 0); color: rgb(0, =
0, 0);" class=3D"">Fabian</span><br style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D""><br style=3D"caret-color: rgb(0, 0, 0); =
color: rgb(0, 0, 0);" class=3D""><blockquote type=3D"cite" class=3D"">On =
6. Jan 2021, at 15:34, Eugene W. Stark &lt;isabelle-users at&nbsp;<a =
href=3D"http://starkeffect.com" class=3D"">starkeffect.com</a>&gt; =
wrote:<br class=3D""><br class=3D"">Using Isabelle2021-RC1 I am noticing =
an unexpected behavior that did not occur in previous versions:<br =
class=3D"">editing at the tail end of a proof under construction =
sometimes seems to trigger re-checking of<br class=3D"">material before =
the point at which editing is occurring. &nbsp;At least, I make some =
edit and I see<br class=3D"">highlighting briefly flash on the text =
earlier than where I am editing, as if rechecking has been<br =
class=3D"">triggered on that part. &nbsp;I cannot tell how far back the =
rechecking occurs -- in lemmas I have<br class=3D"">just been working on =
it goes at least back to the beginning of the lemma being proved and =
perhaps<br class=3D"">to previous lemmas. &nbsp;It might be associated =
with the insertion and deletion of "try", but I am<br class=3D"">not =
sure at this time. &nbsp;Using "try" as a way of verifying statements as =
I am sketching out a<br class=3D"">proof is pretty fundamental to how I =
do things, so I am constantly taking "try" in and out of<br class=3D"">the=
 editing buffer.<br class=3D""><br class=3D"">This is something that is =
is hard to describe how to reproduce, other than to say try writing<br =
class=3D"">a proof and keep your eyes open for apparent rechecking =
before the point of edit. &nbsp;Perhaps this<br class=3D"">report is =
enough to suggest what change might have been made that would cause =
this.</blockquote></body></html>=

--Apple-Mail=_442FDBA7-3CAF-405D-973C-BA88CF613F42--


From isabelle-users at starkeffect.com Sat Jan 09 15:21:35 2021
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Subject: [isabelle] Isabelle2021-RC1 - sledgehammer suggestion "by
	presburger" sometimes fails
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This is not necessarily new behavior to Isabelle2021-RC1, but I just observed a reason that
explains why it occurs, and might lead someone to be able to fix it.

Not infrequently, sledgehammer will report "Try this: using X Y Z ... by presburger", but when you
actually insert this, the proof fails.  In the past, I have observed that the result can often be
salvaged by using "metis" in place of "presburger" (though for the cases where this arises, which
do not actually involve Presburger arithmetic, presburger can often be much, much faster than other
methods).

Today I just noticed that whether or not presburger succeeds can sometimes be sensitive to the
ordering of the assumptions in the "using" clause that precedes "by presburger".  I confirmed that,
in at least one instance where the "using X Y Z ... by presburger" did not succeed, that it
did succeed when the assumptions were permuted.  More specifically, I applied sledgehammer to
something of the form:

	using A B C ...

I received the suggestion "using X Y Z ... by presburger", but "using A B C ... X Y Z ... by presburger"
did not succeed.  However after permuting "A B C ... X Y Z ..." appropriately, presburger did succeed.

I don't know if proof methods are permitted to be sensitive to the order of assumptions in the context.
I would think that this would not be desirable.  In any case, it seems that one class of failures of
"by presburger" suggestions returned by sledgehammer are due to presburger having such a sensitivity.



From david.k at posteo.de Sat Jan 09 19:31:56 2021
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From: David Kretzmer <david.k at posteo.de>
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Subject: [isabelle] Detecting undefined
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Hello,

I am developing an executable operational semantics for a programming
language in Isabelle/HOL. One area that makes me a bit uneasy is the
existence of `undefined`. Since the occurrence of `undefined` may
indicate a bug in the semantics (e.g., an off-by-one error when indexing
into a list) and also raises an exception during execution, I would like
to prove that any final execution state obtained by the transition
relation is independent of `undefined`.

However, as `undefined` is a undetermined yet legal value there does not
seem a way to express this property. The only alternative I see is to
prove the much stronger property that any final execution state is part
of a set of known, valid states. However, I would like to start with the
simpler property (i.e., no `undefined`). Is this possible?

Best regards,
David


From isabelle-users at florianmaerkl.de Sat Jan 09 18:12:28 2021
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Subject: [isabelle] Strange "Tactic failed" error in lift_definition with
	(code_dt) seemingly depending on syntactic details
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Hello,

I just encountered some strange behavior when using the (code_dt) flag
of lift_definition as in this example:


typedef imc = "{mc :: nat. True ∧ True}" by simp
setup_lifting type_definition_imc
lift_definition (code_dt) lift_imco :: "nat ⇒ imc option" is Some by simp


This throws the following error at the "by simp" of the lift_definition
(even sorry does the same):


Tactic failed
The error(s) above occurred for the goal statement⌂:
rel_fun (eq_onp (pred_option (λmc. True ∧ True))) (eq_onp (λmc. True ∧
True)) (case_option (Rep_imc undefined) (λx2. x2)) (case_option (Rep_imc
undefined) (λx2. x2))


I'm not really sure what it is trying to tell me, the only suspicious
thing I can spot are the two "undefined"s in the goal.
What's funny is that if I make the predicate for the imc type just
"True" instead of "True ∧ True", it works. Is that a bug or maybe just a
limitation of how the lifting works there?

For a bit of context, I am using something similar to this in a project
where I have to construct an abstract type with invariants directly from
its base representation. I do this by checking the invariants on the
base type and returning an option type of the abstract type that will be
None whenever the invariants are not fulfilled. I also need (code_dt) to
generate code from it.
There, my typedef initially looked something like this:



typedef imc = "{mc :: nat. invar_a mc ∧ invar_b mc ∧ ...}


I just fixed it there by wrapping the conjunction in a single definition
so it's not a blocker for me but I would still be interested whether
there is a solution or if it's a bug.

-- 
Florian Märkl
https://metallic.software


From holub at karlin.mff.cuni.cz Sun Jan 10 11:16:33 2021
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To: cl-isabelle-users at lists.cam.ac.uk
From: Stepan Holub <holub at karlin.mff.cuni.cz>
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Hello,

we need to check simple (humanly trivial) properties of factors 
(contiguous sublists) of limited length in a language generated by a 
given set of lists. Something like this:

lemma
   assumes "w ∈ lists {[0,1],[1,0,1]}" and "length w = 4"
   shows   ""fs ≤f concat w ⟹ P fs"

where ≤f denotes the factor relation and P is some predicate that is 
easy to check
(a toy example would be "length fs < 13").

We developed a relatively simple mechanism which is able to prove such 
claims uniformly by a brute force search. It is based on a bunch of 
elimination rules that create a long list of goals  for all possible 
factors (it is 904 in the above example). Goals are ultimately 
discharged by a single simp_all.

My question is whether our approach is reasonable, whether there is some 
obvious way how to do this (it reminds of Nitpick), and whether there 
are some existing examples of similar tasks.

Thanks.

Stepan Holub



-- 
Tento e-mail byl zkontrolován na viry programem AVG.
http://www.avg.cz



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Thread-Topic: Isabelle 2021-RC1: Problem with fonts in jEdit
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Date: Sun, 10 Jan 2021 13:28:52 +0000
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Subject: [isabelle] Isabelle 2021-RC1: Problem with fonts in jEdit
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