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Truly concurrent constraint programming. (English) Zbl 1002.68026
We study “causality” relationships in concurrent constraint programming: what is observed is not just the conjunction of constraints deposited in the store, but also the causal dependencies between these constraints. We describe a denotational semantics for cc that is fully abstract with respect to observing this “causality” relation on constraints. This semantics preserves more fine-grained structure of computation; in particular the interleaving law \((a\rightarrow P)\parallel(b\rightarrow Q)=(a\rightarrow (P\parallel(b\rightarrow Q)))(b\rightarrow(Q\parallel(a\rightarrow P)))\) is not verified (\(\square\) is indeterminate choice). Relationships between such a denotational approach to true concurrency and different powerdomain constructions are explored.

68N19 Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.)
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[1] Abramsky, S., Domain theory in logical form, Ann. pure appl. logic, 51, 1-77, (1991) · Zbl 0737.03006
[2] L. Aceto, M. Hennessy, Towards action-refinement in process algebras, Proc. 4th Annu. Symp. on Logic in Computer Science, IEEE Computer Society Press, Silverspring, MD, 1989, pp. 138-145. · Zbl 0716.68034
[3] G. Boudol, I. Castellani, M.C. Hennessy, A. Kiehn, A theory of processes with localities, Proc. Internat. Conf. on Concurrency Theory, Lecture Notes in Computer Science, vol. 630, 1992, pp. 108-122. · Zbl 0806.68070
[4] F.S. de Boer, M. Gabrielli, E. Marchiori, C. Palamidessi, Proving concurrent programs correct, Proc. 21st ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages, 1994, pp. 98-108.
[5] F.S. de Boer, C. Palamidessi, A fully abstract model for concurrent constraint programming, Proc. TAPSOFT/CAAP, Lecture Notes in Computer Science, vol. 493, 1991, pp. 296-319. · Zbl 0967.68516
[6] F.S. de Boer, C. Palamidessi, E. Best, Concurrent constraint programming with information removal, Proc. Concurrent Constraint Programming Workshop, Venice, 1995, pp. 1-13.
[7] deKleer, J., An assumption based TMS, Artificial intelligence, 28, 127-162, (1986)
[8] de Nicola, R.; Hennessy, M.C.B., Testing equivalences for processes, Theoret. comput. sci., 34, 83-133, (1984) · Zbl 0985.68518
[9] M. Fromherz, V. Saraswat, Model-based computing: Using concurrent constraint programming for modeling and model compilation, Principles and Practices of Constraint Programming, Lecture Notes in Computer Science, vol. 976, Springer, Berlin, 1995, pp. 629-635.
[10] R. Gorrieri, Refinement atomicity, and transactions for process description languages, Ph.D. Thesis, University of Pisa, 1991.
[11] P. Van Hentenryck, V.A. Saraswat, Y. Deville, Constraint processing in cc(fd), Tech. Report, Computer Science Department, Brown University, 1992. · Zbl 0920.68026
[12] R. Jagadeesan, P. Panangaden, K. Pingali, A fully-abstract semantics for a functional language with logic variables, ACM Trans. Programming Languages Systems 13(4) (1991) 577-625; Proc. 4th IEEE Symp. on Logic in Computer Science, June 1989 (preliminary version). · Zbl 0716.68061
[13] Z. Manna, A. Pnueli, The Temporal Logic of Reactive and Concurrent Systems, Springer, Berlin, 1991, 427 pp. · Zbl 0753.68003
[14] U. Montanari, F. Rossi, True concurrency semantics for concurrent constraint programming, in: V. Saraswat, K. Ueda (Eds.), Proc. 1991 Internat. Logic Programming Symp., 1991.
[15] U. Montanari, F. Rossi, A concurrent semantics for concurrent constraint programs via contextual nets, Principles and Practices of Constraint Programming, 1995, pp. 3-27.
[16] Plotkin, G.D., A powerdomain construction, SIAM J. comput., 5, 3, 452-487, (1976) · Zbl 0355.68015
[17] G.D. Plotkin, Domains. Available from , 1983.
[18] Pratt, V.R., Modeling concurrency with partial orders, Int. J. parallel programming, 15, 1, 33-71, (1986) · Zbl 0622.68034
[19] V.A. Saraswat, The category of constraint systems is Cartesian-closed, Proc. 7th IEEE Symp. on Logic in Computer Science, Santa Cruz, 1992.
[20] Saraswat, V.A., Concurrent constraint programming, doctoral dissertation award and logic programming series, (1993), MIT Press Cambridge, MA
[21] Saraswat, V.A.; Jagadeesan, R.; Gupta, V., Programming in timed concurrent constraint languages, (), 367-413 · Zbl 0942.68539
[22] Smyth, M.B., Powerdomains, J. comput. system sci., 16, 23-36, (1978) · Zbl 0408.68017
[23] V.A. Saraswat, M. Rinard, Concurrent constraint programming, Proc. 17th ACM Symp. on Principles of Programming Languages, San Fransisco, January 1990.
[24] V.A. Saraswat, M. Rinard, P. Panangaden, Semantic foundations of concurrent constraint programming, Proc. 18th ACM Symp. on Principles of Programming Languages, Orlando, January 1991, pp. 333-352.
[25] R. van Glabbeek, F. Vaandrager, Petri net models for algebraic theories of concurrency, Proc. of PARLE, Lecture Notes in Computer Science, vol. 259, 1987, pp. 224-242. · Zbl 0633.68054
[26] W. Vogler, Modular Construction and Partial Order Semantics of Petri Nets, Lecture Notes in Computer Science, vol. 625, Springer, Berlin, 1992, 252pp. · Zbl 1293.68015
[27] G. Winskel, Event structures, in: Petri Nets: Applications and Relationships to Other Models of Concurrency, Lecture Notes in Computer Science, vol. 255, 1987, pp. 325-392.
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