Logic of Programs 1983: Logics of Programs pp 290-312 | Cite as

There exist decidable context free propositonal dynamic logics

  • Tmima Koren
  • Amir Pnueli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 164)


It is shown that PDL remains decidable when we allow as programs regular expressions over a finite alphabet as well as over the single context free program AB = {AiBi | i ≥ 0}. The decision algorithm constructs a finite push-down model for all satisfiable PDL RG(AB) formulas. Generalization to additional context free programs whose addition does not destroy decidability is discussed.


Regular Language Propositional Dynamic Logic Pushdown Automaton Configuration Graph Infinite Model 
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    Harel, D., Pneuli, A., Stavi, J. — Propositional Dynamic Logic of Nonregular Programs — FOCS 81.Google Scholar
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    Pratt, V.R. — Sementical Considerations of Floyd-Hoare Logic — Proc. of 17-th FOCS (1976), 109–121.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Tmima Koren
    • 1
  • Amir Pnueli
    • 2
  1. 1.Department of MathematicsTel-Aviv UniversityRamat-AvivIsrael
  2. 2.Department of Applied MathematicsThe Weizmann Institute of ScienceRehovotIsrael

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