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Behavioural satisfaction and equivalence in concrete model categories

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Book cover Trees in Algebra and Programming — CAAP '96 (CAAP 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1059))

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Abstract

We use the well-known framework of concrete categories to show how much of standard universal algebra may be done in an abstract and still rather intuitive way. This is used to recast the unifying view of behavioural semantics of specifications based on behavioural satisfaction and, respectively, on behavioural equivalence of models abstracting away from many particular features of standard algebras. We also give an explicit representation of behavioural equivalence between models in terms of behavioural correspondences.

A full version of this paper is available as [BT95b].

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Author information

Authors and Affiliations

  1. LIENS, CNRS & Ecole Normale Supérieure, Paris

    Michel Bidoit

  2. Institute of Informatics, Warsaw University, Poland

    Andrzej Tarlecki

  3. Institute of Computer Science, Polish Academy of Sciences, Warsaw

    Andrzej Tarlecki

Authors
  1. Michel Bidoit
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  2. Andrzej Tarlecki
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Editor information

Hélène Kirchner

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© 1996 Springer-Verlag Berlin Heidelberg

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Bidoit, M., Tarlecki, A. (1996). Behavioural satisfaction and equivalence in concrete model categories. In: Kirchner, H. (eds) Trees in Algebra and Programming — CAAP '96. CAAP 1996. Lecture Notes in Computer Science, vol 1059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61064-2_41

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  • DOI: https://doi.org/10.1007/3-540-61064-2_41

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61064-9

  • Online ISBN: 978-3-540-49944-2

  • eBook Packages: Springer Book Archive

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