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Cut-free display calculi for relation algebras

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1258))

Abstract

We extend Belnap's Display Logic to give a cut-free Gentzen-style calculus for relation algebras. The calculus gives many axiomatic extensions of relation algebras by the addition of further structural rules. It also appears to be the first purely prepositional Gentzen-style calculus for relation algebras.

This work partly supported by a Visiting Fellowship from the Institute of Applied Mathematics and Computer Science, University of Bern, Switzerland.

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Dirk van Dalen Marc Bezem

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© 1997 Springer-Verlag Berlin Heidelberg

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Goré, R. (1997). Cut-free display calculi for relation algebras. In: van Dalen, D., Bezem, M. (eds) Computer Science Logic. CSL 1996. Lecture Notes in Computer Science, vol 1258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63172-0_40

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  • DOI: https://doi.org/10.1007/3-540-63172-0_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63172-9

  • Online ISBN: 978-3-540-69201-0

  • eBook Packages: Springer Book Archive

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