Local logics for traces

  • Authors:
  • Igor Walukiewicz

  • Affiliations:
  • Institute of Informatics, Warsaw University, Banacha 2, PL-02-096 Warsaw, Poland

  • Venue:
  • Journal of Automata, Languages and Combinatorics - Selected papers of the workshop on logic and algebra for concurrency
  • Year:
  • 2001

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Abstract

The µ-calculus over dependence graph representation of traces is considered. It is shown that the plain µ-calculus cannot express all monadic second-order (MSO) properties of dependence graphs. Several extensions of the µ-calculus are presented and it is proved that these extensions are equivalent in expressive power to MSO logic. The satisfiability problem for these extensions is PSPACE-complete.