Efficiency of automata in semi-commutation verification techniques
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 42 (2008) no. 2, pp. 197-215.

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 et al. [IEEE Comput. Soc. (2001) 399-408] proved that the class of regular languages L - called APC - of the form j L 0,j L 1,j L 2,j ...L k j ,j , where the union is finite and each L i,j is either a single symbol or a language of the form B * with B a subset of the alphabet, is closed under all semi-commutation relations R. Moreover a recursive algorithm on the regular expressions was given to compute R * (L). This paper provides a new approach, based on automata, for the same problem. 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, answers the open question proposed in the paper of Bouajjani et al.

DOI: 10.1051/ita:2007029
Classification: 68N30
Keywords: regular model checking, verification, parametric systems, semi-commutations
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Cécé, Gérard; Héam, Pierre-Cyrille; Mainier, Yann. Efficiency of automata in semi-commutation verification techniques. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 42 (2008) no. 2, pp. 197-215. doi : 10.1051/ita:2007029. http://www.numdam.org/articles/10.1051/ita:2007029/

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