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Horizontal Composability Revisited

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Algebra, Meaning, and Computation

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4060))

Abstract

We recall the contribution of Goguen and Burstall’s 1980 CAT paper and its powerful influence on theories of specification implementation that were emerging at about the same time, via the introduction of the notions of vertical and horizontal composition of implementations. We then give a different view of implementation which we believe provides a more adequate reflection of the rather subtle interplay between implementation, specification structure and program structure.

This work was funded in part by the European IST FET programme under the IST-2005-015905 MOBIUS and IST-2005-016004 SENSORIA projects, and by the British–Polish Research Partnership Programme.

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Author information

Authors and Affiliations

  1. Laboratory for Foundations of Computer Science, University of Edinburgh,  

    Donald Sannella

  2. Institute of Informatics, Warsaw University,  

    Andrzej Tarlecki

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

    Andrzej Tarlecki

Authors
  1. Donald Sannella
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  2. Andrzej Tarlecki
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Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology (JAIST),  

    Kokichi Futatsugi

  2. LIX, Projet INRIA TypiCal, École Polytechnique and CNRS, 91400, Palaiseau, France

    Jean-Pierre Jouannaud

  3. CS Dept., University of Illinois at Urbana-Champaign, USA

    José Meseguer

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Sannella, D., Tarlecki, A. (2006). Horizontal Composability Revisited. In: Futatsugi, K., Jouannaud, JP., Meseguer, J. (eds) Algebra, Meaning, and Computation. Lecture Notes in Computer Science, vol 4060. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11780274_16

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  • DOI: https://doi.org/10.1007/11780274_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35462-8

  • Online ISBN: 978-3-540-35464-2

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