CONCUR 2003 - Concurrency Theory: 14th International by Albert Benveniste, Stefan Haar, Eric Fabre, Claude Jard

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By Albert Benveniste, Stefan Haar, Eric Fabre, Claude Jard (auth.), Roberto Amadio, Denis Lugiez (eds.)

This booklet constitutes the refereed complaints of the 14th foreign convention on Concurrency concept, CONCUR 2003, held in Marseille, France in September 2003.

The 29 revised complete papers offered including four invited papers have been conscientiously reviewed and chosen from 107 submissions. The papers are equipped in topical sections on partial orders and asynchronous platforms, technique algebras, video games, countless platforms, probabilistic automata, version checking, version checking and HMSC, defense, mobility, compositional equipment and actual time, and probabilistic models.

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Additional info for CONCUR 2003 - Concurrency Theory: 14th International Conference, Marseille, France, September 3-5, 2003. Proceedings

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Distributed diagnosis for large discrete event dynamic systems. In preparation. 15. E. Fabre. Convergence of the turbo algorithm for systems defined by local constraints. IRISA Res. Rep. 1510, 2003. 16. C. S. Sin. Adaptive Filtrering, Prediction, and Control. J. 1984. 17. S. Haar. Probabilistic Cluster Unfoldings. Fundamenta Informaticae 53(3–4), 281– 314, 2002. 18. L. Lamport and N. Lynch. Distributed Computing: Models and Methods. in Handbook of Theoretical Computer Science, Volume B: Formal Models and Semantics, Jan van Leeuwen, editor, Elsevier (1990), 1157–1199.

Using this notation, note that (16) is monotonic in the following sense: if ∀k : Mk,i ≤ Mk,i in the right hand side of (16), then Mi,j ≤ Mi,j in the left hand side of (16). Next, mark Mi,j in formula (16) with a running subset Ji,j ⊆ I, initialized with Ji,j = ∅: Mi,j := ΠPi ∩Pj Ci ∧ Ji,j := Ji,j ∪ {i} ∪ k∈N(i)\j k∈N(i)\j Mk,i (19) Jk,i Then, by using properties (a0–a5) and the monotonicity of (16), we get (left as an exercise to the reader): Mi,j = ΠPi ∩Pj k∈Ji,j Ck . (20) Hint: compare with (18).

18. L. Lamport and N. Lynch. Distributed Computing: Models and Methods. in Handbook of Theoretical Computer Science, Volume B: Formal Models and Semantics, Jan van Leeuwen, editor, Elsevier (1990), 1157–1199. 19. L. Lauritzen. Graphical Models, Oxford Statistical Science Series 17, Oxford University Press, 1996. 20. L. J. Spiegelhalter. Local computations with probabilities on graphical structures and their application to expert systems. J. Royal Statistical Society, Series B, 50(2), 157–224, 1988.

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