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Erschienen in:
2014 | OriginalPaper | Buchkapitel
A Finite Representation of the Narrowing Space
verfasst von : Naoki Nishida, Germán Vidal
Erschienen in: Logic-Based Program Synthesis and Transformation
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Narrowing basically extends rewriting by allowing free variables in terms and by replacing matching with unification. As a consequence, the search space of narrowing becomes usually infinite, as in logic programming. In this paper, we introduce the use of some operators that allow one to always produce a finite data structure that still represents all the narrowing derivations. Furthermore, we extract from this data structure a novel, compact equational representation of the (possibly infinite) answers computed by narrowing for a given initial term. Both the finite data structure and the equational representation of the computed answers might be useful in a number of areas, like program comprehension, static analysis, program transformation, etc.