Minimisation of ATL * models

Serenella Cerrito (1) , Amélie David (2)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 UPD5 - Université Paris Descartes - Paris 5

The aim of this work is to provide a general method to minimize the size (number of states) of a model M of an ATL* formula. Our approach is founded on the notion of alternating bisimulation: given a model M it is transformed in a stepwise manner into a new model M’ minimal with respect to bisimulation. The method has been implemented and will be integrated into the prover TATL, that constructively decides satifiability of an ATL formula by building a tableau from which, when open, models of the input formula can be extracted.

Mots clés: Alternating-time temporal logic; Bisimulation; Model minimization; Tableaux

Domaines: Logique en informatique [cs.LO]

Serenella Cerrito, Amélie David. Minimisation of ATL * models. 26th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2017), Sep 2017, Brasilia, Brazil. pp.193--208, ⟨10.1007/978-3-319-66902-1_12⟩. ⟨hal-01599160⟩