Reasoning about Time-Dependent Multi-agents: Foundations of Theorem Proving and Model Checking

  • Norihiro Kamide
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7190)


Firstly, an extension of linear-time temporal logic (LTL), called an agents-indexed linear-time temporal logic (ALTL), is introduced as a Gentzen-type sequent calculus. ALTL is intended to appropriately express reasoning about time-dependent multi-agents within a proof system. The cut-elimination and completeness theorems for ALTL are shown. Secondly, an extension of computation tree logic (CTL), called an agents-indexed computation tree logic (ACTL), is introduced as a Kripke-type semantics. ACTL is intended to appropriately formalize reasoning about time-dependent multi-agents within an executable temporal logic by model checking. The model-checking, validity and satisfiability problems for ACTL are shown to be decidable.


Agents-indexed linear-time temporal logic agents-indexed computation tree logic time-dependent multi-agent sequent calculus model checking completeness theorem 


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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

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

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