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

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Part of the Lecture Notes in Computer Science book series (TCCI,volume 7190)

Abstract

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.

Keywords

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

This paper is an extension of the presentation [9] in the track “Agent and multi-agent systems” of the conference KES 2010. Section [3] includes a new result (concerning ACTL) which is presented in this paper. In [9], the results for ACTL were not included.

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Kamide, N. (2012). Reasoning about Time-Dependent Multi-agents: Foundations of Theorem Proving and Model Checking. In: Nguyen, N.T. (eds) Transactions on Computational Collective Intelligence VI. Lecture Notes in Computer Science, vol 7190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29356-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-29356-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29355-9

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