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Partial orderings descriptions and observations of nondeterministic concurrent processes

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Book cover Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency (REX 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 354))

Abstract

A methodology is introduced for defining truly concurrent semantics of processes as equivalence classes of Labelled Event Structures (LES). The construction of a les providing the operational semantics of systems consists of three main steps. First, systems are decomposed into sets of sequential processes and a set of rewriting rules is introduced which describe both the actions sequential processes may perform and their causal relation. Then, the rewriting rules are used to build an occurrence net. Finally, the required event structure is easily derived from the occurrence net. As a test case, a partial ordering operational semantics is introduced first for a subset of Milner's CCS and then for the whole calculus. The proposed semantics are consistent with the original interleaving semantics of the calculus and are able to capture all and only the parallelism present in its multiset semantics. In order to obtain more abstract semantic definitions, new notions of observational equivalence on Labelled Event Structures are introduced that preserve both concurrency and nondeterminism.

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References

  1. Aceto, L., De Nicola, R. and Fantechi, A. Testing Equivalences for Event Structures, in Mathematical Models for the Semantics of Parallelism (M. Venturini Zilli, Ed.), LNCS, 280, Springer-Verlag, Heidelberg, 1987, pp. 1–20.

    Google Scholar 

  2. Austry, D. and Boudol, G. Alg`ebre de Processus et Synchronization, Theoret. Comput. Sci., 30, 1 (1984), 91–131.

    Article  Google Scholar 

  3. Boudol, G. and Castellani, I. On the Semantics of Concurrency: Partial Orders and Transition Systems, in Proc. TAPSOFT-CAAP '87, Lecture Notes in Computer Science, 249, Springer-Verlag, Heidelberg, 1987, pp. 123–137.

    Google Scholar 

  4. Castellani,I. Franceschi,P. and Montanari,U. Labeled Event Structures: A Model for Observable Concurrency, in Formal Description of Programming Concepts II (D. Bijørner, Ed.), North Holland, Amsterdam, 1983, pp. 383–400.

    Google Scholar 

  5. Degano,P., De Nicola,R. and Montanari,U. Observational Equivalences for Concurrency Models, in Formal Description of Programming Concepts III (M. Wirsing, Ed.), North Holland, Amsterdam, 1987, pp. 105–132.

    Google Scholar 

  6. Degano, P., De Nicola, R. and Montanari, U. CCS is an (Augmented) Contact-Free C/E System, in Mathematical Models for the Semantics of Parallelism (M. Venturini Zilli, Ed.), LNCS, 280, Springer-Verlag, Heidelberg, 1987, pp. 144–165.

    Google Scholar 

  7. Degano, P., De Nicola, R. and Montanari, U. A Distributed Operational Semantics for CCS based on Condition/Event Systems. Acta Informatica, 26, (1988), 59–91.

    Google Scholar 

  8. Degano,P., De Nicola,R. and Montanari,U. A Partial Ordering Semantics for CCS, Nota Interna 88-3, Dip. Informatica, University of Pisa, 1988. Submitted for Publication.

    Google Scholar 

  9. Degano, P., De Nicola, R. and Montanari, U. On the Consistency of Operational and Denotational Semantics for True Concurrency, Proc. LICS '88, (IEEE Computer Society Press, Washington, 1988), pp. 133–141.

    Google Scholar 

  10. De Nicola, R. Extensional Equivalences for Transition Systems, Acta Informatica, 24, (1987), 211–237.

    Article  Google Scholar 

  11. Degano, P. and Montanari, U. Concurrent Histories: A Basis for Observing Distributed Systems, Journal of Computer and System Sciences, 34 (1987), 442–461.

    Article  Google Scholar 

  12. van Glabeek,R. and Goltz,U. Equivalence Notions for Concurrent Systems and Refinement of Actions, Draft (1989).

    Google Scholar 

  13. Gorrieri, R., Marchetti, S. and Montanari, U. A2CCS: Atomic Action for CCS, Proc. CAAP'88, lncs, 299, (Springer-Verlag, Heidelberg, 1987), pp. 258–270.

    Google Scholar 

  14. Goltz, U. and Reisig, W. The Non-sequential Behaviour of Petri Nets, Info. and Co. 57, (1983), 125–147.

    Article  Google Scholar 

  15. Keller, R. Formal Verification of Parallel Programs. Communication of ACM, 7, (1976) 561–572.

    Google Scholar 

  16. Milner, R. A Calculus of Communicating Systems. LNCS, 92, (Springer-Verlag, Heidelberg, 1980).

    Google Scholar 

  17. Milner, R. Calculi for Synchrony and Asynchrony, Theoret. Comput. Sci., 25, (1983) 267–310.

    Article  Google Scholar 

  18. Montanari,U. Observational Equivalence Revisited, minutes of the IFIP W.G. 2.2 meeting, Passau 1985.

    Google Scholar 

  19. Montanari,U. and Simonelli,C. On Distinguishing Between Concurrency and Nondeterminism, Proc. Ècole de Printemps on Concurrency and Petri Nets, Colleville sur Mer, 1980, available as Tech. Rep. PFI-Cnet No 7, 1981.

    Google Scholar 

  20. Nielsen, M., Plotkin, G., Winskel, G. Petri Nets, Event Structures and Domains, Part 1, Theoret. Comput. Sci., 13, (1981) 85–108.

    Article  Google Scholar 

  21. Nielsen, M. CCS — and its relationship to Net Theory, In Advances in Petri Nets 1987, (G. Rozenberg, Ed.) LNCS, 266, (Springer-Verlag, Heidelberg, 1987), pp. 393–415.

    Google Scholar 

  22. Olderog, E.-R. Operational Petri Net Semantics for CCSP. In Advances in Petri Nets 1987, (G. Rozenberg, Ed.) LNCS, 266, (Springer-Verlag, Heidelberg, 1987), pp. 196–223.

    Google Scholar 

  23. Park, D. Concurrency and Automata on Infinite Sequences, Proc. GI, LNCS, 104, (Springer-Verlag, Heidelberg, 1981), pp. 167–183.

    Google Scholar 

  24. Plotkin, G. A Structural Approach to Operational Semantics. Technical Report DAIMI FN-19, Aarhus University, Department of Computer Science, Aarhus, 1981.

    Google Scholar 

  25. Pratt, V. Modelling Concurrency with Partial Orders, International Journal of Parallel Programming, 15, (1986) 33–71.

    Article  Google Scholar 

  26. Reisig, W.: Petri Nets: An Introduction, EATCS Monographs on Theoretical Computer Science, Springer-Verlag, 1985.

    Google Scholar 

  27. Winkowski, J. Behaviours of Concurrent Systems, Theoret. Comput. Sci., 12 (1980), 39–60.

    Article  Google Scholar 

  28. Winskel,G. Events in Computation, Ph. D. Thesis, Univ. of Edinburgh, CST-10-80, (1980).

    Google Scholar 

  29. Winskel, G. Event Structures for CCS and Related Languages, Proc. 9th ICALP, (M. Nielsen, and E. M. Schmidt, Eds), LNCS, 140, Springer-Verlag, Heidelberg, 1982, pp. 561–576.

    Google Scholar 

  30. Winskel, G.: Categories of Models of Concurrency, in: Seminar on Concurrency (S.D. Brookes, A. W. Roscoe, G. Winskel, eds.), LNCS 197, Springer-Verlag, Heidelberg, 1985, pp. 246–267

    Google Scholar 

  31. Winskel, G. Event Structures, in Advances in Petri Nets 1987, (G. Rozenberg, ed.) LNCS, 266, Springer-Verlag, Heidelberg, 1987, pp. 196–223.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Università di Pisa, Corso Italia, 40, 1-56100, Pisa, Italy

    Pierpaolo Degano

  2. Instituto di Elaborazione dell'Informazione, C.N.R., Via S. Maria, 46, I-56100, Pisa, Italy

    Rocco De Nicola

  3. Dipartimento di Informatica, Università di Pisa, Corso Italia, 40, I-56100, Pisa, Italy

    Ugo Montanari

Authors
  1. Pierpaolo Degano
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  2. Rocco De Nicola
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  3. Ugo Montanari
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Editor information

J. W. de Bakker W. -P. de Roever G. Rozenberg

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© 1989 Springer-Verlag Berlin Heidelberg

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Degano, P., De Nicola, R., Montanari, U. (1989). Partial orderings descriptions and observations of nondeterministic concurrent processes. In: de Bakker, J.W., de Roever, W.P., Rozenberg, G. (eds) Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency. REX 1988. Lecture Notes in Computer Science, vol 354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013030

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  • DOI: https://doi.org/10.1007/BFb0013030

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51080-2

  • Online ISBN: 978-3-540-46147-0

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