So many reasons to dig into things I've wanted to look at for a while!

Op dinsdag 5 december 2017 18:23:37 UTC+1 schreef Matthias Felleisen:
>
>
> You may also wish to look into Rosette, a Racket-based SMT DSL. Emina 
> Torlak is the creator and you should be able to find it from her web site — 
> Matthias
>
>
>
>
> On Dec 5, 2017, at 1:37 AM, Vincent Nys <[email protected] <javascript:>> 
> wrote:
>
> Matthias,
>
> Thank you for your input. I will look into enlisting a proof assistant.
>
> Regards,
>
> Vincent
>
> Op maandag 4 december 2017 19:23:16 UTC+1 schreef Matthias Felleisen:
>>
>>
>> > On Dec 4, 2017, at 9:47 AM, Vincent Nys <[email protected]> wrote: 
>> > 
>> > Hi, 
>> > 
>> > I'm currently working on a program transformation technique for logic 
>> programs. The technique uses abstract interpretation, so I have an abstract 
>> program semantics and the main operation is an abstraction of resolution. I 
>> would like to prove a particular property of this semantics (namely that 
>> the number of non-equivalent abstract conjunctions that can be obtained 
>> through resolution is finite unless there are recursive calls which can be 
>> characterized in a specific way). I can't seem to do it by hand. Would 
>> Redex be of help if I used it to code an interpreter for these abstract 
>> semantics? I don't necessarily mean that it should produce a complete 
>> proof, but, for example, could it demonstrate that the property holds for a 
>> logic program with at most N clauses of length L, where neither is 
>> symbolic, by exhausting a search space? 
>>
>>
>> Let me first clarify a misunderstanding. Redex is not really a tool for 
>> writing an interpreter. If you want to write interpreters, use Racket or 
>> Typed Racket. Redex is a tool for specifying either a reduction semantics 
>> or a relation semantics. It’s unique for the former and one among others 
>> for the latter. 
>>
>> Let me then state a surprising admission. Even though I started as a 
>> Prologer and have always thought of reduction semantics as a unique and 
>> amazing tool for specifying a semantics, I have never done so for a logic 
>> language. Interesting. 
>>
>> Now as to your question, Redex can check things but it’s hard to prove 
>> them, even for finite cases. In the past some of my PhD students have 
>> developed Redex model to experiment with a semantics and Isabelle/Coq 
>> proofs to prove things. Modeling in Redex tends to be fast and easy; it 
>> really feels like it imposes only a slightly higher overhead than 
>> paper-and-pencil modeling. 
>>
>> Many wish that proof systems and Redex were more integrated. Alas they 
>> are not. 
>>
>> — Matthias 
>>
>>
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