Characterizing EF and EX tree logics

  • Authors:
  • Mikolaj Bojańczyk;Igor Walukiewicz

  • Affiliations:
  • Warsaw University and Laboratoire Bordelais de Recherche en Informatique, Poland;Warsaw University and Laboratoire Bordelais de Recherche en Informatique, Poland

  • Venue:
  • Theoretical Computer Science - Concurrency theory (CONCUR 2004)
  • Year:
  • 2006

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Abstract

The expressive power of temporal branching time logics that use the modalities EX and EF is described. Forbidden pattern characterizations are given for tree languages definable in three logics: EX, EF and EX + EF. The characterizations give algorithms for the definability problem in the respective logics that are polynomial in the size of a deterministic tree automaton representing the language.