Re: [isabelle] yet another simplifier question
I just experimented with sledgehammer for the first time.
it seems quite impressive, but also a little unstable.
sometimes it doesn't return any output, sometimes I get messages like
"z3": Timed out.
(and four more lines like this)
and sometimes it does return a useful command.
so it seems I always have to try it several times.
is there a way to make it more stable?
I'm using the default installation of Isabelle 2015 on win7.
also, I bring here two examples for which sledgehammer failed repeatedly.
what would be the simplest way to prove them?
shows "1/a - 1/(a+1) = 1/(a*(a+1))"
fixes a b c :: real
shows "((a powr c) + (b powr c)) powr 2 =
(a powr (2*c)) + 2*(a powr c)*(b powr c) + (b powr (2*c))"
On Sat, Nov 5, 2016 at 9:33 PM, Lawrence Paulson <lp15 at cam.ac.uk> wrote:
> In such situations, you should try simplifying with
> apply (simp add: algebra_simps)
> It works in your example. Sledgehammer also solves your problem.
> There are many other useful packages of rules for such situations,
> including field_simps and divide_simps.
> To be quite honest, I never try to trace the simplifier. The output is
> simply too massive. I just try something else.
> Larry Paulson
> On 5 Nov 2016, at 01:47, noam neer <noamneer at gmail.com> wrote:
> first I must admit I didn't know the simplifier can do things to sub
> expressions besides application of identities. good to know that.
> second, is there a documentation of what "field_combine_numerals" can and
> can't do? for example to my surprise the following fails (and this was the
> trigger to the original question) -
> lemma "sin((x::real) + y + x + y) = sin(2*x + 2*y)"
> using [[simp_trace=true]]
> by simp (* doesn't work *)
> also, I must say that the simplifier's output is very hard to read. it
> would have been much easier to understand it if there was some identation,
> and if there was some declaration where the output of a simproc begins (I
> assume much of the output before the produced rewrite rule also came from
> the simproc.) can we request this for the next Isabelle revision ?
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