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From chaotic iteration to constraint propagation

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Automata, Languages and Programming (ICALP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1256))

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Abstract

We show how the constraint propagation process can be naturally explained by means of chaotic iteration.

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References

  • Apt, K. (1997). A proof theoretic view of constraint programming, Technical report, CWI, Amsterdam. In preparation.

    Google Scholar 

  • Barwise, J. and Moss, L. (1996). Vicious Circles: on the mathematics of circular phenomena, CSLI-Lecture Notes, Center for the Study of Language and Information, Stanford, California.

    Google Scholar 

  • Benhamou, F. and Older, W. (1997). Applying interval arithmetic to real, integer and Boolean constraints, Journal of Logic Programming. Technical report 1994. To appear.

    Google Scholar 

  • Benhamou, F., McAllester, D. and Hentenryck, P. V. (1994). CLP (intervals) revisited, in M. Bruynooghe (ed.), Proceedings of the 1994 International Logic Programming Symposium, pp. 124–138.

    Google Scholar 

  • Chazan, D. and Miranker, W. (1969). Chaotic relaxation, Linear Algebra and its Applications 2: 199–222.

    Article  Google Scholar 

  • Cousot, P. and Cousot, R. (1977). Automatic synthesis of optimal invariant assertions: mathematical foundations, ACM Symposium on Artificial Intelligence and Programming Languages, SIGPLAN Notices 12 (8), pp. 1–12.

    Google Scholar 

  • Dechter, R. and Pearl, J. (1988). Network-based heuristics for constraint-satisfaction problems, Artificial Intelligence 34(1): 1–38.

    Article  Google Scholar 

  • Dechter, R. and van Beek, P. (1997). Local and global relational consistency, Theoretical Computer Science 173(1): 283–308.

    Article  Google Scholar 

  • Fages, F., Fowler, J. and Sola, T. (1996). Experiments in reactive constraint logic programming, Technical report, DMI — LIENS CNRS, Ecole Normale Supérieure. Submitted for publication.

    Google Scholar 

  • Mackworth, A. (1977). Consistency in networks of relations, Artificial Intelligence 8(1): 99–118.

    Article  Google Scholar 

  • Mohr, R. and Henderson, T. (1986). Arc-consistency and path-consistency revisited, Artificial Intelligence 28: 225–233.

    Article  Google Scholar 

  • Montanari, U. and Rossi, F. (1991). Constraint relaxation may be perfect, Artificial Intelligence 48: 143–170.

    Article  Google Scholar 

  • Older, W. and Vellino, A. (1993). Constraint arithmetic on real intervals, in F. Benhamou and A. Colmerauer (eds), Constraint Logic Programming: Selected Research, MIT Press, pp. 175–195.

    Google Scholar 

  • Saraswat, V., Rinard, M. and Panangaden, P. (1991). Semantic foundations of concurrent constraint programming, Proceedings of the Eighteenth Annual ACM Symposium on Principles of Programming Languages (POPL'91), pp. 333–352.

    Google Scholar 

  • van Emden, M. H. (1996). Value constraints in the CLP scheme, Technical Report CS-R9603, CWI, Amsterdam. To appear in the Constraints journal.

    Google Scholar 

  • Van Hentenryck, P., Deville, Y. and Teng, C. (1992). A generic arc-consistency algorithm and its specializations, Artificial Intelligence 57(2–3): 291–321.

    Article  Google Scholar 

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Pierpaolo Degano Roberto Gorrieri Alberto Marchetti-Spaccamela

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© 1997 Springer-Verlag Berlin Heidelberg

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Apt, K.R. (1997). From chaotic iteration to constraint propagation. In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds) Automata, Languages and Programming. ICALP 1997. Lecture Notes in Computer Science, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63165-8_163

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  • DOI: https://doi.org/10.1007/3-540-63165-8_163

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63165-1

  • Online ISBN: 978-3-540-69194-5

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