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Evidence Reconstruction of Epistemic Modal Logic S5

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Computer Science – Theory and Applications (CSR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3967))

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Abstract

We introduce the logic of proofs whose modal counterpart is the modal logic S5. The language of Logic of Proofs LP is extended by a new unary operation of negative checker “?”. We define Kripke-style models for the resulting logic in the style of Fitting models and prove the corresponding Completeness theorem. The main result is the Realization theorem for the modal logic S5.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Logic, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, Moscow, 119992, Russia

    Natalia Rubtsova

Authors
  1. Natalia Rubtsova
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Editor information

Editors and Affiliations

  1. IRMAR, Université de Rennes, Campus de Beaulieu, 35042, Rennes Cedex, France

    Dima Grigoriev

  2. Intel Corporation, JF1-13, 2111 NE 25th Avenue, 97124, Hillsboro, OR, USA

    John Harrison

  3. Steklov Institute of Mathematics at St. Petersburg, 27 Fontanka, St., 191023, Petersburg, Russia

    Edward A. Hirsch

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© 2006 Springer-Verlag Berlin Heidelberg

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Rubtsova, N. (2006). Evidence Reconstruction of Epistemic Modal Logic S5 . In: Grigoriev, D., Harrison, J., Hirsch, E.A. (eds) Computer Science – Theory and Applications. CSR 2006. Lecture Notes in Computer Science, vol 3967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753728_32

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  • DOI: https://doi.org/10.1007/11753728_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34166-6

  • Online ISBN: 978-3-540-34168-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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