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1984 | ReviewPaper | Buchkapitel

The propositional mu-calculus is elementary

verfasst von : Robert S. Streett, E. Allen Emerson

Erschienen in: Automata, Languages and Programming

Verlag: Springer Berlin Heidelberg

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The propositional mu-calculus is a propositional logic of programs which incorporates a least fixpoint operator and subsumes the Propositional Dynamic Logic of Fischer and Ladner, the infinite looping construct of Streett, and the Game Logic of Parikh. We give an elementary time decision procedure, using a reduction to the emptiness problem for automata on infinite trees. A small model theorem is obtained as a corollary.

Metadaten
Titel
The propositional mu-calculus is elementary
verfasst von
Robert S. Streett
E. Allen Emerson
Copyright-Jahr
1984
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/3-540-13345-3_43

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