Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems

Radu Iosif (1) , Adam Rogalewicz (2) , Tomáš Vojnar (2)

1 VERIMAG - IMAG - VERIMAG
2 FIT / BUT - Faculty of Information Technology [Brno]

A data automaton is a finite automaton equipped with variables (counters or registers) ranging over infinite data domains. A trace of a data automaton is an alternating sequence of alphabet symbols and values taken by the counters during an execution of the automaton. The problem addressed in this paper is the inclusion between the sets of traces (data languages) recognized by such automata. Since the problem is undecidable in general, we give a semi-algorithm based on abstraction refinement, which is proved to be sound and complete, but whose termination is not guaranteed. We have implemented our technique in a prototype tool and show promising results on several non-trivial examples.

Domaines: Informatique [cs]; Théorie et langage formel [cs.FL]

Radu Iosif, Adam Rogalewicz, Tomáš Vojnar. Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems. 22nd International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS), Apr 2016, Eindhoven, Netherlands. pp.71-89, ⟨10.1007/978-3-662-49674-9_5⟩. ⟨hal-01418885⟩