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International Conference on Category Theory and Computer Science

CTCS 1991: Category Theory and Computer Science pp 282–301Cite as

Applications of the calculus of trees to process description languages

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 530))

Abstract

Bénabou's notion of motor is extended to cover labelled finite trees. Operations on them are defined that permit to easily define the semantics for a finite concurrent calculus. Then, suitable motors that constructively define canonical representatives for strong and observational congruence based on the notion of bisimulation are introduced in a clean and straightforward way. This enables us to provide the calculus with a fully abstract semantics up to the above congruences.

“Other maps are such shapes, with their islands and capes! But we've got our brave captain to thank” (So the crew would protest) “that he's bought us the best—A perfect and absolute blank!” (Lewis Carroll The Hunting of the Snark Fit the Second, 4)

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Università di Pisa, Corso Italia 40, I-56125, Pisa PI, Italy

    P. Degano

  2. Dipartimento di Matematica, Università di Parma, Via M. d'Azeglio 85, I-43100, Parma PR, Italy

    P. Degano

  3. Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133, Milano MI, Italy

    S. Kasangian & S. Vigna

Authors
  1. P. Degano
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  2. S. Kasangian
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  3. S. Vigna
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Editor information

David H. Pitt Pierre-Louis Curien Samson Abramsky Andrew M. Pitts Axel Poigné David E. Rydeheard

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© 1991 Springer-Verlag Berlin Heidelberg

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Degano, P., Kasangian, S., Vigna, S. (1991). Applications of the calculus of trees to process description languages. In: Pitt, D.H., Curien, PL., Abramsky, S., Pitts, A.M., Poigné, A., Rydeheard, D.E. (eds) Category Theory and Computer Science. CTCS 1991. Lecture Notes in Computer Science, vol 530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013471

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  • DOI: https://doi.org/10.1007/BFb0013471

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54495-1

  • Online ISBN: 978-3-540-38413-7

  • eBook Packages: Springer Book Archive

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