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International Conference on Theorem Proving in Higher Order Logics

TPHOLs 1999: Theorem Proving in Higher Order Logics pp 221–238Cite as

Mechanized Operational Semantics via (Co)Induction

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1690))

Abstract

We give a fully automated description of a small programming language PL in the theorem prover Isabelle98. The language syntax and semantics are encoded, and we formally verify a range of semantic properties. This is achieved via uniform (co)inductive methods. We encode notions of bisimulation and contextual equivalence. The main original contribution of this paper is a fully automated proof that PL bisimulation coincides with PL contextual equivalence.

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Author information

Authors and Affiliations

  1. Leicester University, Leicester, LE1 7RH, UK

    Simon J. Ambler & Roy L. Crole

Authors
  1. Simon J. Ambler
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  2. Roy L. Crole
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Editor information

Editors and Affiliations

  1. INRIA Sophia Antipolis, 2004 Route des Lucioles, F-06902, Sophia Antipolis Cedex, France

    Yves Bertot , Gilles Dowek  & Laurent Théry ,  & 

  2. University of Nice - Sophia Antipolis, Parc Valrose, F-06108, Nice Cedex 2, France

    André Hirschowitz

  3. University of Paris XI, 15, rue Georges Clemenceau, F-91405, Orsay Cedex, France

    Christine Paulin

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© 1999 Springer-Verlag Berlin Heidelberg

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Ambler, S.J., Crole, R.L. (1999). Mechanized Operational Semantics via (Co)Induction. In: Bertot, Y., Dowek, G., Théry, L., Hirschowitz, A., Paulin, C. (eds) Theorem Proving in Higher Order Logics. TPHOLs 1999. Lecture Notes in Computer Science, vol 1690. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48256-3_15

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  • DOI: https://doi.org/10.1007/3-540-48256-3_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66463-5

  • Online ISBN: 978-3-540-48256-7

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