Describing the wadge hierarchy for the alternation free fragment of μ-calculus (I)

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Abstract

The height of the Wadge Hierarchy for the Alternation Free Fragment of μ-calculus is known to be at least ε 0. It was conjectured that the height is exactly ε 0. We make a first step towards the proof of this conjecture by showing that there is no definable set in between the levels ω ω and ω 1 of the Wadge Hierarchy of Borel Sets. © 2008 Springer-Verlag Berlin Heidelberg.

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Duparc, J., & Facchini, A. (2008). Describing the wadge hierarchy for the alternation free fragment of μ-calculus (I). In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5028 LNCS, pp. 186–195). https://doi.org/10.1007/978-3-540-69407-6_22

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