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Axiomatization of Typed First-Order Logic

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FM 2015: Formal Methods (FM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 9109))

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Abstract

This paper contributes to the theory of typed first-order logic. We present a sound and complete axiomatization for a basic typed logic lifting restrictions imposed by previous results. As a second contribution, this paper provides complete axiomatizations for the type predicates instance T , exactInstance T , and functions cast T indispensable for reasoning about object-oriented programming languages.

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Author information

Authors and Affiliations

  1. Department of Informatics, Karlsruhe Institute of Technology (KIT), Am Fasanengarten 5, 76131, Karlsruhe, Germany

    Peter H. Schmitt & Mattias Ulbrich

Authors
  1. Peter H. Schmitt
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  2. Mattias Ulbrich
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Corresponding author

Correspondence to Peter H. Schmitt .

Editor information

Editors and Affiliations

  1. Microsoft Research, Redmond, Washington, USA

    Nikolaj Bjørner

  2. Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands

    Frank de Boer

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© 2015 Springer International Publishing Switzerland

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Schmitt, P.H., Ulbrich, M. (2015). Axiomatization of Typed First-Order Logic. In: Bjørner, N., de Boer, F. (eds) FM 2015: Formal Methods. FM 2015. Lecture Notes in Computer Science(), vol 9109. Springer, Cham. https://doi.org/10.1007/978-3-319-19249-9_29

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  • DOI: https://doi.org/10.1007/978-3-319-19249-9_29

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19248-2

  • Online ISBN: 978-3-319-19249-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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