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The μ-calculus alternation-depth hierarchy isstrict on binary trees

Published online by Cambridge University Press:  15 August 2002

André Arnold
André Arnold*
Affiliation:
LaBRI, Université de Bordeaux 1, CNRS, 351 cours de la Libération, 33405 Talence, France.
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Abstract

In this paper we give a simple proof that the alternation-depth hierarchy of the μ-calculus for binary trees is strict. The witnesses for this strictness are the automata that determine whether there is a winning strategy for the parity game played on a tree.

Keywords

Mu-calculalternating automataparity games.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 4-5 , July 1999 , pp. 329 - 339
Copyright
© EDP Sciences, 1999

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