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Transformations of logic programs on infinite lists

Pettorossi, Alberto and Proietti, Maurizio and Senni, Valerio Transformations of logic programs on infinite lists. Theory and Practice of Logic Programming, 10 (4-6). pp. 383-399. ISSN 1471-0684 (2010)

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Abstract

We consider an extension of logic programs, called ω-programs, that can be used to define predicates over infinite lists. ω-programs allow us to specify properties of the infinite behavior of reactive systems and, in general, properties of infinite sequences of events. The semantics of ω-programs is an extension of the perfect model semantics. We present variants of the familiar unfold/fold rules which can be used for transforming ω-programs. We show that these new rules are correct, that is, their application preserves the perfect model semantics. Then we outline a general methodology based on program transformation for verifying properties of ω-programs. We demonstrate the power of our transformation-based verification methodology by proving some properties of Büchi automata and ω-regular languages.

Item Type: Article
Identification Number: 10.1017/S1471068410000177
Additional Information: Special Issue on the 26th International Conference on Logic Programming, Edinburgh, Scotland, UK, July 16-19, 2010
Uncontrolled Keywords: Program transformation; Program verification; Infinite lists
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Users 40 not found.
Date Deposited: 18 Sep 2012 15:15
Last Modified: 07 Mar 2013 12:56
URI: http://eprints.imtlucca.it/id/eprint/1362

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