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 —
> Thank you for your input. I will look into enlisting a proof assistant.
> Op maandag 4 december 2017 19:23:16 UTC+1 schreef Matthias Felleisen:
>> > On Dec 4, 2017, at 9:47 AM, Vincent Nys <vince...@gmail.com> 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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