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

KES 2011: Knowlege-Based and Intelligent Information and Engineering Systems pp 225–234Cite as

On Temporal Gödel-Gentzen Translation

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6882))

Abstract

Temporal logics and their intuitionistic counterparts are of growing importance in Computer Science. These intuitionistic counterparts, called intuitionistic (or constructive) temporal logics, are known to be useful for formalizing functional programming. To show a clear relationship between temporal logics and their intuitionistic counterparts has thus been required. In this paper, a theorem for embedding first-order linear-time temporal logic into its intuitionistic counterpart is proved using Baratella-Masini’s temporal extension of the Gödel-Gentzen negative translation of classical logic into intuitionistic logic.

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References

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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. Institute of Integrated Sensor Systems, University of Kaiserslautern, Erwin-Schroedinger-str. 12, 67663, Kaiserslautern, Germany

    Andreas König

  2. Knowledge-Based Systems Group, Department of Computer Science, University of Kaiserslautern, P.O. Box 3049, 67653, Kaiserslautern, Germany

    Andreas Dengel

  3. School of Business, University of Applied Sciences Northwestern Switzerland, Riggenbachstr. 16, 4600, Olten, Switzerland

    Knut Hinkelmann

  4. Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, 599-8531, Sakai,, Osaka, Japan

    Koichi Kise

  5. KES International, P.O. Box 2115, BN43 9AF, Shoreham-by-sea, UK

    Robert J. Howlett

  6. University of South Australia, Adelaide, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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© 2011 Springer-Verlag Berlin Heidelberg

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Kamide, N. (2011). On Temporal Gödel-Gentzen Translation. In: König, A., Dengel, A., Hinkelmann, K., Kise, K., Howlett, R.J., Jain, L.C. (eds) Knowlege-Based and Intelligent Information and Engineering Systems. KES 2011. Lecture Notes in Computer Science(), vol 6882. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23863-5_23

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  • DOI: https://doi.org/10.1007/978-3-642-23863-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23862-8

  • Online ISBN: 978-3-642-23863-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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