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2-Categorical specification of partial algebras

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Recent Trends in Data Type Specification (ADT 1992, COMPASS 1992)

Abstract

The purpose of this paper is to present a short survey of possible results of an application of general concepts from categorical algebra to the specification of partial algebras with conditional existence equations. The general concept, which models theories (= formulas and equivalence classes of terms) as categories, is extended to 2-categories, such that rewriting between terms can be made explicit. To make clear the benefits of such an approach the results are presented in the usual terminology of algebraic specifications.

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Hartmut Ehrig Fernando Orejas

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© 1994 Springer-Verlag Berlin Heidelberg

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Große-Rhode, M., Wolter, U. (1994). 2-Categorical specification of partial algebras. In: Ehrig, H., Orejas, F. (eds) Recent Trends in Data Type Specification. ADT COMPASS 1992 1992. Lecture Notes in Computer Science, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57867-6_12

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  • DOI: https://doi.org/10.1007/3-540-57867-6_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57867-3

  • Online ISBN: 978-3-540-48361-8

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