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Article Dans Une Revue ACM Transactions on Computational Logic Année : 2011

Two-variable logic on data words

Résumé

In a data word each position carries a label from a finite alphabet and a data value from some infinite domain. This model has been already considered in the realm of semistructured data, timed automata and extended temporal logics. This paper shows that satisfiability for the two-variable fragment FO2(∼,<,+1) of first-order logic with data equality test ∼, is decidable over finite and over infinite data words. Here, +1 and < are the usual successor and order predicates, respectively. The satisfiability problem is shown to be at least as hard as reachability in Petri nets. Several extensions of the logic are considered, some remain decidable while some are undecidable.

Domaines

Autre [cs.OH]
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Dates et versions

hal-00645452 , version 1 (28-11-2011)

Identifiants

  • HAL Id : hal-00645452 , version 1

Citer

Mikolaj Bojanczyk, Claire David, Anca Muscholl, Thomas Schwentick, Luc Segoufin. Two-variable logic on data words. ACM Transactions on Computational Logic, 2011, 12, pp.27. ⟨hal-00645452⟩
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