An automaton over data words that captures EMSO logic

Benedikt Bollig (1)

1 LSV - Laboratoire Spécification et Vérification [Cachan]

We introduce class register automata, a new (one-way) automata model over finite and infinite words with multiple data values. Our model combines (extended) register automata and data automata. It has natural interpretations, e.g., as concurrent communicating systems with an unbounded number of processes. We show that class register automata capture an existential monadic second-order logic that permits unrestricted use of variables and comes with a predicate that relates two successive positions with the same data value(s).

Mots clés: data words; data automata; register automata; class memory automata; MSO logic; communicating automata

Domaines: Théorie et langage formel [cs.FL]

Benedikt Bollig. An automaton over data words that captures EMSO logic. 2011. ⟨hal-00558757v2⟩