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International Conference on Interactive Theorem Proving

ITP 2010: Interactive Theorem Proving pp 323–338Cite as

A Mechanized Translation from Higher-Order Logic to Set Theory

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6172)

Abstract

In order to make existing formalizations available for set-theoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This covers all fundamental primitives, particularly type classes. The translation produces LCF-style theorems that are checked by Isabelle’s inference kernel. Type checking is replaced by explicit reasoning about set membership.

Keywords

  • Type Variable
  • Theorem Prove
  • Type Class
  • Type Check
  • Mechanized Translation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-642-14052-5_23
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Authors and Affiliations

  1. Institut für Informatik, Technische Universität München,  

    Alexander Krauss & Andreas Schropp

Authors
  1. Alexander Krauss
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  2. Andreas Schropp
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Editor information

Editors and Affiliations

  1. Department of Computer Sciences, University of Texas, Austin, Talyor Hall 2.124, 78712-1188, Austin, TX, USA

    Matt Kaufmann

  2. Computer Laboratory, University of Cambridge, CB3 0FD, Cambridge,, UK

    Lawrence C. Paulson

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Krauss, A., Schropp, A. (2010). A Mechanized Translation from Higher-Order Logic to Set Theory. In: Kaufmann, M., Paulson, L.C. (eds) Interactive Theorem Proving. ITP 2010. Lecture Notes in Computer Science, vol 6172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14052-5_23

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  • DOI: https://doi.org/10.1007/978-3-642-14052-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14051-8

  • Online ISBN: 978-3-642-14052-5

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