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Mu calculus - Wikipedia, the free encyclopedia

Mu calculus

From Wikipedia, the free encyclopedia

The μ-calculus (also modal μ calculus) is a class of temporal logics with a least fixpoint operator μ. It is used to describe properties of labelled transition systems and for verifying these properties.

The (propositional) μ-calculus is invented by Scott and De Bakker[1], and further developed by Kozen into the version most people use nowadays.

Many temporal logics can be encoded in the μ-calculus, such as LTL, CTL and CTL*.[2]

[edit] Notes

  1. ^ Kozen p.333
  2. ^ Clarke p.108, Theorem 6; Emerson p.196

[edit] References

  • Clarke, Jr., Edmund M.; Orna Grumberg, Doron A. Peled (1999). Model Checking. Cambridge, Massachusetts, USA: MIT press. ISBN 0-262-03270-8. 
  • Julian Bradfield and Colin Stirling, Modal logics and mu-calculi, [1]
  • Specification Patterns [2]
  • Property Pattern Mappings for RAFMC [3]
  • more patterns: page 6 of [4]

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