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Application of subdefinite models for solving constraint satisfaction problems

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Perspectives of System Informatics (PSI 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1181))

Abstract

Origins of the subdefinite approach lie aside from constraint programming, however, the approach essentially is a consistency technique which works with abstract domains and procedurally given semantics of constraints. The approach generalizes many constraint programming techniques. We present LogiCalc, a system which uses subdefinite models for solving arbitrary equations over atoms, integers, tuples, and extensional and intentional sets. We describe its input language and some details of set processing.

Supported in part by Russian Foundation for Fundamental Research under grant 96-01-01608

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References

  1. Jacques Cohen. Constraint logic programming languages. Communications of the ACM, 33(7):52–68, July 1990.

    Google Scholar 

  2. Alain Colmerauer. An introduction to Prolog III. Communications of the ACM, 33(7):69–90, July 1990.

    Google Scholar 

  3. Y. Caseau and J.-F. Puget. Constraints on order-sorted domains. In Thomas Schiex, editor, Proceedings ECAI'94 Workshop on Constraint Satisfaction Issues raised by Practical Applications, Amsterdam, August 1994.

    Google Scholar 

  4. A. Dovier and G. Rossi. Embedding extensional finite sets in CLP. In ILPS'93: Proceedings 3rd International Logic Programming Symposium, Vancouver, 1993.

    Google Scholar 

  5. M. Dincbas, H. Simonis, A. Aggoun P. Van Hentenryck, T. Graf, and E. Berthier. The constraint logic programming language CHIP. In FGCS'88, Tokyo, November 1988. ICOT.

    Google Scholar 

  6. ECRC. ECLiPSe 3.5 ECRC Common Logic Programming System, 1995.

    Google Scholar 

  7. Eugene C. Freuder and Richard J. Wallace. Partial constraint satisfaction. Artificial Intelligence, 58:21–70, 1992.

    Google Scholar 

  8. Carmen Gervet. Conjunto: Constraint logic programming with finite set domains. In M. Bruynooghe, editor, ILPS'94, pages 339–358, 1994.

    Google Scholar 

  9. Eero Hyvönen. Constraint reasoning based on interval arithmetic: the tolerance propagation approach. Artificial Intelligence, 58:71–112, 1992.

    Google Scholar 

  10. B. Legeard and E. Legros. Short overview of the CLPS system. In Proceedings of PLILP'91, Passau, Germany, August 1991.

    Google Scholar 

  11. Alan K. Mackworth. Consistency in networks of relations. Artificial Intelligence, 8(1):99–118, 1977.

    Google Scholar 

  12. B. Mayoh, E. Tyugu, and J. Penjaam, editors. Constraint Programming: Proceedings 1993 NATO ASI Parnu, Estonia, NATO Advanced Science Institute Series. Springer-Verlag, 1994.

    Google Scholar 

  13. Alexander S. Narinyani. Subdefiniteness and basic means of knowledge representation. Computers and Artificial Intelligence, 2(5):443–452, 1983.

    Google Scholar 

  14. J.T. Schwartz, R.B.K. Dewar, E. Dubinsky, and E. Schonberg. Programming with Sets. An Introduction to SETL. Texts and Monographs in Computer Science. Springer-Verlag, 1986.

    Google Scholar 

  15. Pascal Van Hentenryck. Constraint Satisfaction in Logic Programming. MIT Press, Cambridge, MA, 1989.

    Google Scholar 

  16. Clifford Walinsky. CLP(Σ *): Constraint logic programming with regular sets. In Giorgio Levi and Maurizio Martelli, editors, ICLP'89: Proceedings 6th International Conference on Logic Programming, pages 181–196, Lisbon, Portugal, June 1989. MIT Press.

    Google Scholar 

  17. T.M. Yakhno. Constraint programming: survey and classification of approaches and methods, volume 4 of System Informatics, pages 160–193. Nauka, 1995.

    Google Scholar 

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Dines Bjørner Manfred Broy Igor V. Pottosin

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© 1996 Springer-Verlag Berlin Heidelberg

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Yakhno, T.M., Petrov, E.S. (1996). Application of subdefinite models for solving constraint satisfaction problems. In: Bjørner, D., Broy, M., Pottosin, I.V. (eds) Perspectives of System Informatics. PSI 1996. Lecture Notes in Computer Science, vol 1181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62064-8_8

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  • DOI: https://doi.org/10.1007/3-540-62064-8_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62064-8

  • Online ISBN: 978-3-540-49637-3

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