PDL Inside the μ-calculus: A Syntactic and an Automata-theoretic Characterization

Open Access
Authors
Publication date 2014
Host editors
  • R. Goré
  • B. Kooi
  • A. Kurucz
Book title Advances in Modal Logic
Book subtitle AiML 10
ISBN
  • 9781848901513
Event Advances in Modal Logic 2014 (AiML 2014), Groningen, the Netherlands
Pages (from-to) 74-93
Publisher London: College Publications
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract It is well known that propositional Dynamic Logic (PDL) can be seen as a fragment of the modal μ-calculus. In this paper we provide an exact syntactic characterization of the fragments of the μ-calculus that correspond to PDL and to test-free PDL. In addition we give automata-theoretic characterizations for PDL, with and without tests, which shed light on the relation between these logics and the modal μ-calculus and provide a new framework for the development of the theory of PDL.
Document type Conference contribution
Language English
Published at http://www.aiml.net/volumes/volume10/Carreiro-Venema.pdf
Other links http://www.aiml.net/volumes/volume10/
Downloads
Carreiro-Venema (Final published version)
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