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The modal mu-calculus alternation hierarchy is strict

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1119))

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Abstract

One of the open questions about the modal mu-calculus is whether the alternation hierarchy collapses; that is, whether all modal fix-point properties can be expressed with only a few alternations of least and greatest fix-points. In this paper, we resolve this question by showing that the hierarchy does not collapse.

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Ugo Montanari Vladimiro Sassone

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© 1996 Springer-Verlag Berlin Heidelberg

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Bradfield, J.C. (1996). The modal mu-calculus alternation hierarchy is strict. In: Montanari, U., Sassone, V. (eds) CONCUR '96: Concurrency Theory. CONCUR 1996. Lecture Notes in Computer Science, vol 1119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61604-7_58

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  • DOI: https://doi.org/10.1007/3-540-61604-7_58

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