Weak automata for the linear time µ-calculus

  • Authors:
  • Martin Lange

  • Affiliations:
  • Institut für Informatik, University of Munich, Germany

  • Venue:
  • VMCAI'05 Proceedings of the 6th international conference on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2005

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Abstract

This paper presents translations forth and back between formulas of the linear time μ-calculus and finite automata with a weak parity acceptance condition. This yields a normal form for these formulas, in fact showing that the linear time alternation hierarchy collapses at level 0 and not just at level 1 as known so far. The translation from formulas to automata can be optimised yielding automata whose size is only exponential in the alternation depth of the formula.