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 <vincent...@gmail.com> 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 <vince...@ <>gmail.com 
> > <http://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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