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A decidable temporal logic with repeating values

Demri, Stéphane and D'Souza, Deepak and Gascon, Régis (2007) A decidable temporal logic with repeating values. In: LFCS '07 Proceedings of the international symposium on Logical Foundations of Computer Science, Heidelberg.

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Official URL: http://dl.acm.org/citation.cfm?id=1419559


Various logical formalisms with the freeze quantifier have been recently considered to model computer systems even though this is a powerful mechanism that often leads to undecidability. In this paper, we study a linear-time temporal logic with past-time operators such that the freeze operator is only used to express that some value from an infinite set is repeated in the future or in the past. Such a restriction has been inspired by a recent work on spatio-temporal logics. We show decidability of finitary and infinitary satisfiability by reduction into the verification of temporal properties in Petri nets. This is a surprising result since the logic is closed under negation, contains future-time and past-time temporal operators and can express the nonce property and its negation. These ingredients are known to lead to undecidability with a more liberal use of the freeze quantifier.

Item Type: Conference Paper
Publisher: Springer-Verlag Berlin
Additional Information: Copyright of this article belongs to Springer-Verlag Berlin.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 17 Oct 2011 05:20
Last Modified: 17 Oct 2011 05:20
URI: http://eprints.iisc.ac.in/id/eprint/41460

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