On the expressivity of the modal mu-calculus

  • J. C. Bradfield
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1046)


We analyse the complexity of the sets of states, in certain classes of infinite systems, that satisfy formulae of the modal mu-calculus. Improving on some of our earlier results, we establish a strong upper bound (namely Δ 2 1 ). We also establish various lower bounds and restricted upper bounds, incidentally providing another proof that the mu-calculus alternation hierarchy does not collapse at level 2.


descriptive complexity logic in computer science verification temporal logic 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • J. C. Bradfield
    • 1
  1. 1.Laboratory for Foundations of Computer ScienceUniversity of EdinburghEdinburghUK

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