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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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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