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A Decidable Temporal Relevant Logic for Time-Dependent Relevant Human Reasoning

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Logic, Rationality, and Interaction (LORI 2015)

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Abstract

In this paper, a Gentzen-type sequent calculus STRW is introduced for a new temporal relevant logic TRW which is obtained from the positive contraction-less relevant logic by adding some temporal operators. The cut-elimination and completeness theorems for STRW are proved. STRW is shown to be decidable and to have relevance principle.

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Author information

Authors and Affiliations

  1. Faculty of Science and Engineering, Department of Information and Electronic Engineering, Teikyo University, Toyosatodai 1-1, Utsunomiya, Tochigi, 320-8551, Japan

    Norihiro Kamide

Authors
  1. Norihiro Kamide
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Correspondence to Norihiro Kamide .

Editor information

Editors and Affiliations

  1. Dept of Comp Sci, Univ of Liverpool, Liverpool, United Kingdom

    Wiebe van der Hoek

  2. Department of Philosophy, Group in Logic & the Methodology of Sci. University of California, Berkeley, California, USA

    Wesley H. Holliday

  3. Institute of Philosophy of Mind and Cognition, National Yang-Ming University, Taipei, Taiwan

    Wen-fang Wang

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Kamide, N. (2015). A Decidable Temporal Relevant Logic for Time-Dependent Relevant Human Reasoning. In: van der Hoek, W., Holliday, W., Wang, Wf. (eds) Logic, Rationality, and Interaction. LORI 2015. Lecture Notes in Computer Science(), vol 9394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48561-3_15

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  • DOI: https://doi.org/10.1007/978-3-662-48561-3_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48560-6

  • Online ISBN: 978-3-662-48561-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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