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Intuitionistic Epistemology and Modal Logics of Verification

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Logic, Rationality, and Interaction (LORI 2015)

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Abstract

The language of intuitionistic epistemic logic, IEL [3], captures basic reasoning about intuitionistic knowledge and belief, but its language has expressive limitations. Following Gödel’s explication of IPC as a fragment of the more expressive system of classical modal logic S4 we present a faithful embedding of IEL into S4V – S4 extended with a verification modality. The classical modal framework is finer-grained and more flexible, allowing us to make explicit various properties of verification.

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Author information

Authors and Affiliations

  1. The Graduate Center, City University of New York, New York, USA

    Tudor Protopopescu

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  1. Tudor Protopopescu
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Correspondence to Tudor Protopopescu .

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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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Protopopescu, T. (2015). Intuitionistic Epistemology and Modal Logics of Verification. 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_24

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  • DOI: https://doi.org/10.1007/978-3-662-48561-3_24

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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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