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Lots of Prolog-in-Scheme implementations are out there. E.g. Kanren, Schelog.

Apparently in "Paradigms of AI Programming" Norvig implements Prolog-to-Lisp compiler in Lisp in order to use Definite Clause Grammars.

But is there a simpler cleaner way? Maybe some clever use of amb to avoid implementing a full "Prolog"? What is the easiest way to have DCG-based parsing in Scheme?

+3  A: 

DCGs use both unification and backtracking, so there's no avoiding implementing the core of Prolog. That is, you can represent any pure Prolog program as a DCG parsing the empty list.

You might do it if you only care about some special case of DCGs, like ones without variables (good only for recognizing, not parsing).

Darius Bacon