A Modal Mu-Calculus for Durational Transition Systems

  • Authors:
  • Helmut Seidl

  • Affiliations:
  • -

  • Venue:
  • LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 1996

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Abstract

Durational transition systems are finite transition systems where every transition is additionally equipped with a duration. We consider the problem of interpreting $\mu$--formulas over durational transition systems. In case the formula contains only operations minimum, maximum, addition, and sequencing, we show that the interpretation ist not only computable but (up to a linear factor) as efficiently computable as the interpretation of $\mu$--formulas over ordinary finite transition systems.