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Efficiency of Automata in Semi-Commutation Verification Techniques

Gérard Cécé 1 Pierre-Cyrille Héam 1 Yann Mainier 1
1 CASSIS - Combination of approaches to the security of infinite states systems
FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174), Inria Nancy - Grand Est, LORIA - FM - Department of Formal Methods
Abstract : Computing the image of a regular language by the transitive closure of a relation is a central question in Regular Model Checking. In a recent paper Bouajjani, Muscholl and Touili proved that the class of APC regular languages is closed under all semi-commutation relations R. Moreover a recursive algorithm on the regular expression is given to compute the image of an APC language by the transitive closure of R. This paper provides a new approach, based on automata, of the same question. Our approach produces a simpler and more efficient algorithm which furthermore works for a larger class of regular languages closed under union, intersection, semi-commutation relations and conjugacy. The existence of this new class, PolC, answered the open question proposed in Bouajjani and al.'s paper.
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https://hal.inria.fr/inria-00077039
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Submitted on : Monday, May 29, 2006 - 11:57:56 AM
Last modification on : Friday, January 21, 2022 - 3:09:05 AM
Long-term archiving on: : Monday, April 5, 2010 - 9:33:08 PM

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  • HAL Id : inria-00077039, version 1

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Gérard Cécé, Pierre-Cyrille Héam, Yann Mainier. Efficiency of Automata in Semi-Commutation Verification Techniques. [Research Report] RR-5001, INRIA. 2003, pp.20. ⟨inria-00077039⟩

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