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A First-Order Calculus for Allegories

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Relational and Algebraic Methods in Computer Science (RAMICS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6663))

Abstract

In this paper we present a language and first-order calculus for formal reasoning about relations based on the theory of allegories. Since allegories are categories, the language is typed in Church-style. We show soundness and completeness of the calculus and demonstrate its usability by presenting the RelAPS system; a proof assistant for relational categories based on the calculus presented here.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Toronto, Toronto, Ontario, Canada, M5S 3G8

    Bahar Aameri

  2. Department of Computer Science, Brock University, St. Catharines, Ontario, Canada, L2S 3A1

    Michael Winter

Authors
  1. Bahar Aameri
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  2. Michael Winter
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Editor information

Editors and Affiliations

  1. Faculty of Philosophy, Tilburg University, P.O. Box 90153, 5000, Tilburg, LE, The Netherlands

    Harrie de Swart

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Aameri, B., Winter, M. (2011). A First-Order Calculus for Allegories. In: de Swart, H. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2011. Lecture Notes in Computer Science, vol 6663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21070-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-21070-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21069-3

  • Online ISBN: 978-3-642-21070-9

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