*To*: "Yannick Duchêne (Hibou57)" <yannick_duchene at yahoo.fr>*Subject*: Re: [isabelle] Infinitely recursive lambda expression or not?*From*: Lawrence Paulson <lp15 at cam.ac.uk>*Date*: Fri, 27 Dec 2013 17:50:26 +0000*Cc*: cl-isabelle-users <cl-isabelle-users at lists.cam.ac.uk>*In-reply-to*: <op.w8rid9n7ule2fv@cardamome>*References*: <op.w72usxweule2fv@cardamome> <C743CBFE-029F-4E49-9A56-3695338394B8@cantab.net> <52AC4D87.9030304@gmx.com> <op.w723lrn9ule2fv@cardamome> <52B227C7.6070607@gmx.com> <op.w8p2ilo1ule2fv@cardamome> <op.w8rgogrkule2fv@cardamome> <2D976E64-08BA-4145-ACC3-588AFC48DF66@cam.ac.uk> <op.w8rid9n7ule2fv@cardamome>

You could try Isabelle/HOLCF, but I’m not sure how well documented and supported it is. Larry Paulson On 27 Dec 2013, at 17:47, Yannick Duchêne (Hibou57) <yannick_duchene at yahoo.fr> wrote: > Le Fri, 27 Dec 2013 18:33:49 +0100, Lawrence Paulson <lp15 at cam.ac.uk> a écrit: > >> From a computational point of view, "f a = (a ∨ f a)” must be regarded as undefined, because the recursion is not well-founded. There are logics where you could then prove that f(True)=True and f(False)=undefined. >> >> Larry Paulson >> > > Interesting. Just out of curiosity and learn more (really not to use it), what are the names of these logics? > > > -- > “Syntactic sugar causes cancer of the semi-colons.” [1] > “Structured Programming supports the law of the excluded muddle.” [1] > [1]: Epigrams on Programming — Alan J. — P. Yale University > >

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**References**:**[isabelle] Infinitely recursive lambda expression or not?***From:*Yannick Duchêne (Hibou57)

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*John Wickerson

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Gottfried Barrow

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Yannick Duchêne (Hibou57)

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Gottfried Barrow

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Yannick Duchêne (Hibou57)

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Yannick Duchêne (Hibou57)

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Lawrence Paulson

**Re: [isabelle] Infinitely recursive lambda expression or not?***From:*Yannick Duchêne (Hibou57)

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