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mu-calcul

RAIRO - Theoretical Informatics and Applications (1)

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The μ-calculus alternation-depth hierarchy is strict on binary trees
André Arnold
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 33 / Issue 4-5 / July 1999

Published online by Cambridge University Press:

15 August 2002, pp. 329-339

Print publication:

July 1999
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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.