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A Proof System for Temporal Reasoning with Sequential Information

  • Norihiro Kamide
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6404)

Abstract

A new logic, sequence-indexed linear-time temporal logic (SLTL), is obtained semantically from the standard linear-time temporal logic LTL by adding a sequence modal operator which represents a sequence of symbols. By the sequence modal operator of SLTL, we can appropriately express “sequential information” in temporal reasoning. A Gentzen-type sequent calculus for SLTL is introduced, and the completeness and cut-elimination theorems for this calculus are proved. SLTL is also shown to be PSPACE-complete and embeddable into LTL.

Keywords

Induction Hypothesis Proof System Sequence Model Linear Temporal Logic Propositional Variable 
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-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Norihiro Kamide
    • 1
  1. 1.Waseda Institute for Advanced StudyWaseda UniversityTokyoJapan

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