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On model-checking for fragments of μ-calculus

  • E. A. Emerson
  • C. S. Jutla
  • A. P. Sistla
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 697)

Abstract

In this paper we considered two different fragments of μ-calculus, logics L1 and L2. We gave model checking algorithms for logics L1 and L2 which are of complexity O(m2n) where m is the length of the formula and n is the size of the structure. We have shown that the logic L2 is as expressive as ECTL* given in [13]. In additions to these results, we have shown that the model checking problem for the μ-calculus is equivalent to the non-emptiness problem of parity tree automata.

It will be interesting to investigate if there is a model checking algorithm for the logics L1 and L2 which is only of complexity O(mn) instead of O(m2n. Of course, determining if the model checking problem for the full μ-calculus is in P or not, is also an open problem.

Keywords

Model Check Atomic Proposition Kripke Structure Tree Automaton Model Check Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • E. A. Emerson
    • 1
  • C. S. Jutla
    • 2
  • A. P. Sistla
    • 3
  1. 1.Department of Computer ScienceUniversity of Texas at AustinAustin
  2. 2.I.B.M. Thomas J. Watson Research LaboratoriesUSA
  3. 3.Department of Electrical Engineering and Computer ScienceUniversity of Illinois at ChicagoChicago

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