Model Checking Modal Transition Systems Using Kripke Structures

  • Authors:
  • Michael Huth

  • Affiliations:
  • -

  • Venue:
  • VMCAI '02 Revised Papers from the Third International Workshop on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2002

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Abstract

We reduce the modal mu-calculus model-checking problem for Kripke modal transition systems to the modal mu-calculus modelchecking problem for Kripke structures. This reduction is sound, preserves the alternation-depth fragments of the modal mu-calculus, is linear in the size of formulas and models, and extends the reach of modal mu-calculus model checkers to sound abstraction for the full logic. These results specialize to CTL* model-checking and CTL model checking.