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And-Or Tableaux for Fixpoint Logics with Converse: LTL, CTL, PDL and CPDL

  • Rajeev Goré
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8562)

Abstract

Over the last forty years, computer scientists have invented or borrowed numerous logics for reasoning about digital systems. Here, I would like to concentrate on three of them: Linear Time Temporal Logic (LTL), branching time Computation Tree temporal Logic (CTL), and Propositional Dynamic Logic (PDL), with and without converse. More specifically, I would like to present results and techniques on how to solve the satisfiability problem in these logics, with global assumptions, using the tableau method. The issues that arise are the typical tensions between computational complexity, practicality and scalability. This is joint work with Linh Anh Nguyen, Pietro Abate, Linda Postniece, Florian Widmann and Jimmy Thomson.

Keywords

Description Logic Computation Tree Logic Linear Time Temporal Logic Propositional Dynamic Logic Negation Normal Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Rajeev Goré
    • 1
  1. 1.Logic and Computation Group, Research School of Computer ScienceThe Australian National UniversityCanberraAustralia

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