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A Finite Representation of the Narrowing Space

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Logic-Based Program Synthesis and Transformation (LOPSTR 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8901))

Abstract

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.

This work has been partially supported by the Spanish Ministerio de Economía y Competitividad (Secretaría de Estado de Investigación, Desarrollo e Innovación) under grant TIN2013-44742-C4-1-R and by the Generalitat Valenciana under grant PROMETEO/2011/052.

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Correspondence to Naoki Nishida .

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Nishida, N., Vidal, G. (2014). A Finite Representation of the Narrowing Space. In: Gupta, G., Peña, R. (eds) Logic-Based Program Synthesis and Transformation. LOPSTR 2013. Lecture Notes in Computer Science(), vol 8901. Springer, Cham. https://doi.org/10.1007/978-3-319-14125-1_4

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  • DOI: https://doi.org/10.1007/978-3-319-14125-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14124-4

  • Online ISBN: 978-3-319-14125-1

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