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On Automating the Calculus of Relations

  • Conference paper
Automated Reasoning (IJCAR 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5195))

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Abstract

Relation algebras provide abstract equational axioms for the calculus of binary relations. They name an established area of mathematics and have found numerous applications in computing. We prove more than hundred theorems of relation algebras with off-the-shelf automated theorem provers. They form a basic calculus from which more advanced applications can be explored. We also present two automation experiments from the formal methods literature. Our results further demonstrate the feasibility of automated deduction with complex algebraic structures. They also open a new perspective for automated deduction in relational formal methods.

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Authors and Affiliations

  1. Institut für Informatik, Universität Augsburg, Germany

    Peter Höfner

  2. Department of Computer Science, University of Sheffield, United Kingdom

    Georg Struth

Authors
  1. Peter Höfner
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  2. Georg Struth
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Editor information

Alessandro Armando Peter Baumgartner Gilles Dowek

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Höfner, P., Struth, G. (2008). On Automating the Calculus of Relations. In: Armando, A., Baumgartner, P., Dowek, G. (eds) Automated Reasoning. IJCAR 2008. Lecture Notes in Computer Science(), vol 5195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71070-7_5

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  • DOI: https://doi.org/10.1007/978-3-540-71070-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71069-1

  • Online ISBN: 978-3-540-71070-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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