mu calculus


Subject: mu calculus
From: Matthew Morley (matthew@verisity.com)
Date: Wed Feb 07 2001 - 20:59:03 PST


Peter, you asked about the modal mu-calculus. the standard reference
is Kozen's 1983 paper [1], though as a `verification practitioner' i
never found it that illuminating. Streett and Emerson [2] discuss
model checking (the exact complexity of which is still unknown, btw).
a fairly accessible "biography" of the logic has been written by
Bradfield and Stirling [3]:

  http://www.dcs.ed.ac.uk/home/jcb/Research/papers.html#HPA-preprint

i recommend that as a starter as it contains all important references.

M

[1] D. Kozen, Results on the propositional mu-calculus. Theoretical
    Computer Science 27, 1983.

[2] R.S. Streett, E.A. Emerson, An automata theoretic decision
    procedure for the propositional mu-calculus, Information and
    Computation 81, 1989.

[3] C. Stirling, J.C. Bradfield, Modal Logics and mu-calculi: an
    introduction. Handbook of Process Algebra, Elsevier Science (to
    appear).



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