The modal mu-calculus alternation hierarchy is strict

Research output: Contribution to journalArticlepeer-review

Abstract

One of the open questions about the modal mu-calculus is whether the alternation hierarchy collapses; that is, whether all modal fixpoint properties can be expressed with only a few alternations of least and greatest fixpoints. In this paper, we resolve this question by showing that the hierarchy does not collapse.
Original languageEnglish
Pages (from-to)133 - 153
Number of pages21
JournalTheoretical Computer Science
Volume195
Issue number2
DOIs
Publication statusPublished - 30 Mar 1998

Keywords / Materials (for Non-textual outputs)

  • Fixpoints
  • Expressivity
  • Temporal logic
  • mu-Calculus

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