On-line computations of the ideal lattice of posets
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) no. 3, p. 227-244
@article{ITA_1995__29_3_227_0,
author = {Jard, Claude and Jourdan, Guy-Vincent and Rampon, Jean-Xavier},
title = {On-line computations of the ideal lattice of posets},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
publisher = {EDP-Sciences},
volume = {29},
number = {3},
year = {1995},
pages = {227-244},
zbl = {0833.68055},
mrnumber = {1347595},
language = {en},
url = {http://www.numdam.org/item/ITA_1995__29_3_227_0}
}

Jard, Claude; Jourdan, Guy-Vincent; Rampon, Jean-Xavier. On-line computations of the ideal lattice of posets. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) no. 3, pp. 227-244. http://www.numdam.org/item/ITA_1995__29_3_227_0/

1. A. V. Aho, J. E. Hopcroft and J. D. Ullman, The design and Analysis of Computer Algorithms, Addison-Wesley Series in Computer Science and Information Processing, 1974. | MR 413592 | Zbl 0326.68005

2. O. Babaoglu and M. Raynal, Sequence-Based Global Predicates for Distributed Computations: Definitions and Detection Algorithms, IRISA research report No. 729, Mai 1993.

3. G. Birkhoff, Rings of Sets, Duke Math., 1937, J-3, pp. 311-316. | MR 1545989

4. R. Bonnet and M. Pouzet, Extensions et stratifications d'ensembles dispersés, C. R. Acad. Sci. Paris, 1969, t. 268, Série A, pp. 1512-1515. | MR 242726 | Zbl 0188.04203

5. J. P. Bordat, Calcul des idéaux d'un ordoné fini, Recherche opérationnelle/Operations Research, 1991, 25, n° 4, pp. 265 à 275. | Numdam | MR 1128468 | Zbl 0733.90038

6. J. P. Bordat, Sur l'algorithme combinatoire d'ordres finis, Doctorat d'État es Sciences USTL Montpellier, 1992.

7. V. Bouchitté and M. Habib, The Calculation of Invariants of Ordered Sets, I. Rival (ed.), Algorithms and Order, 231-279, NATO Series C, 255, Kluwer Academic Publishers, 1989. | MR 1037785

8. G. Chaty and M. Chein, Ordered Matchings and Matchings without Alternating Cycles in Bipartite Graphs, Utilitas Mathematica, 1979, 16, pp. 183-187. | MR 556990 | Zbl 0446.05037

9. R. Cooper and K. Marzullo, Consistent Detection of Global Predicates, In Proc. ACM/ONR Workshop on Parallel and Distributed Debugging, pp. 163-173, Santa Cruz, California, May 1991.

10. C. Diehl, Analyse de la relation de causalité dans les exécutions réparties, Thèse, 14 Septembre 1992, Université de Rennes 1.

11. C. Diehl, C. Jard and J. X. Rampon, Reachability Analysis on Distributed Executions, TAPSOFT'93: Theory and Practice of Software Development, in Lecture Notes in Computer Science, 1993, No. 668, Springer-Verlag, pp. 629-643. | MR 1236494

12. C. Diehl, C. Jard and J. X. Rampon, Computing On-Line the Covering Graph of the Ideal Lattice of Posets, IRISA research report No. 703, February 1993.

13. C. Fidge, Timestamps in Message Passing Systems that Preserve the Partial Ordering, In Proc. 11th Australian Computer Science Conference, 55-66, February 1988.

14. M. Habib and L. Nourine, Linear Time Recognition Algorithm for Distributive Lattices, Order 11: pp. 197-210, 1994.

15. R. Janicki and M. Kounty, Structure of Concurrency, Theoretical Computer Science, 1993, 772, pp. 5-52. | MR 1221149 | Zbl 0814.68061

16. G. V. Jourdan, J. X. Rampon and C. Jard, Computing On-Line the Maximal Antichain Lattice of Posets, Order 11: pp. 197-210, 1994. | MR 1308475 | Zbl 0814.06004

17. Y. Koda and F. Ruskey, A Gray Code for the Ideals of a Forest Poset, Journal of Algorithms, 1993, 15, pp. 324-340. | MR 1231447 | Zbl 0782.94014

18. L. Lamport, Time, Clocks and the Ordering of Events in a Distributed System, Communications of the ACM, July 1978, 21 (7), pp. 558-565. | Zbl 0378.68027

19. F. Mattern, Virtual Time and Global States of Distributed Systems, In Cosnard, Quinton, Raynal and Robert, editors, Proc. Int. Workshop on Parallel and Distributed Algorithms, Bonas France October 1988, North-Holland, 1989. | MR 1053973

20. G. Steiner, An Algorithm to Generate the Ideals of a Partial Order, Operations Research Letters, 1986, No. 6, pp. 317-320. | MR 875784 | Zbl 0608.90075