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International Conference on Knowledge-Based and Intelligent Information and Engineering Systems

KES 2010: Knowledge-Based and Intelligent Information and Engineering Systems pp 178–187Cite as

A Proof System for Time-Dependent Multi-agents

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6276))

Abstract

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.

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References

  1. Emerson, E.A.: Temporal and modal logic. In: van Leeuwen, J. (ed.) Formal Models and Semantics (B). Handbook of Theoretical Computer Science, pp. 995–1072. Elsevier and MIT Press (1990)

    Google Scholar 

  2. Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning about knowledge. MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  3. Gammie, P., van der Meyden, R.: MCK: Model checking the logic of knowledge. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 479–483. Springer, Heidelberg (2004)

    Google Scholar 

  4. Kacprzak, M., Nabialek, W., Niewiadomski, A., Penczek, W., Polroa, A., Szreter, M., Wozawa, B., Zbrzezny, A.: VerICS 2007: A model checker for real-time and multi-agent systems. Fundamenta Informaticae 85(1–4), 313–328 (2008)

    MATH  MathSciNet  Google Scholar 

  5. Lomuscio, A., Raimondi, F.: A model checker for multi-agent systems. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006. LNCS, vol. 3920, pp. 450–454. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Kamide, N.: Embedding linear-time temporal logic into infinitary logic: Application to cut-elimination for multi-agent infinitary epistemic linear-time temporal logic. In: Fisher, M., Sadri, F., Thielscher, M. (eds.) CLIMA IX. LNCS (LNAI), vol. 5405, pp. 57–76. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  7. Kamide, N., Wansing, H.: Combining linear-time temporal logic with constructiveness and paraconsistency. Journal of Applied Logic 8, 33–61 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kawai, H.: Sequential calculus for a first order infinitary temporal logic. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 33, 423–432 (1987)

    Article  MATH  Google Scholar 

  9. Kozen, D.: Results on the propositional mu-calculus. Theoretical Computer Science 27, 333–354 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  10. Pnueli, A.: The temporal logic of programs. In: Proceedings of the 18th IEEE Symposium on Foundations of Computer Science, pp. 46–57 (1977)

    Google Scholar 

  11. van der Meyden, R., Shilov, N.V.: Model checking knowledge and time in systems with perfect recall (extended abstract). In: Pandu Rangan, C., Raman, V., Sarukkai, S. (eds.) FST TCS 1999. LNCS, vol. 1738, pp. 432–445. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan

    Norihiro Kamide

Authors
  1. Norihiro Kamide
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Editor information

Editors and Affiliations

  1. School of Engineering, The Parade, Cardiff University, CF24 3AA, Cardiff, UK

    Rossitza Setchi

  2. Dept. of Computer Science and Software Engineering, BUckingham Building, Lion Terrace, University of Portsmouth, PO1 3HE, Portsmouth, UK

    Ivan Jordanov

  3. KES International, 145-157, St. John Street, EC1V 4PY, London, UK

    Robert J. Howlett

  4. School of Electrical and Information Engineering, University of South Australia, ,, Adelaide, Mawson Lakes Campus, 5095, SA, Australia

    Lakhmi C. Jain

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Kamide, N. (2010). A Proof System for Time-Dependent Multi-agents. In: Setchi, R., Jordanov, I., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2010. Lecture Notes in Computer Science(), vol 6276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15387-7_22

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  • DOI: https://doi.org/10.1007/978-3-642-15387-7_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15386-0

  • Online ISBN: 978-3-642-15387-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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