Some results on Propositional Dynamic Logic with fixed points

  • Igor Rents
  • Nikolaj Shilov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1234)


We present a Gentzen-style cut-free sound and complete axiomatization for Propositional Dynamic Logic (PDL). The axiomatization exploits the conservative extension of PDL by means of a new program constructor for v-times iteration of a program, where v has a natural number value. Then we expand our axiomatization PDL to cover the extension of PDL by the least and the greatest fixed points (PDL+MuC).


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Igor Rents
    • 1
  • Nikolaj Shilov
    • 2
  1. 1.Institute of Computational TechnologiesRussia
  2. 2.Institute of Informatics SystemsRussia

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