Abstract
Signed formula can be used to reason about a wide variety of multiple-valued logics. The formal theoretical foundation of logic programming based on signed formulas is developed in [14]. In this paper, the operational semantics of signed formula logic programming is investigated through constraint logic programming. Applications to bilattice logic programming and truth-maintenance are considered.
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M. Baaz and C. G. Fermüller. Resolution for many-valued logics. In A. Voronkov, editor, Proceedings of Conference Logic Programming and Automated Reasoning, pages 107–118. Springer-Verlag, 1992.
D. Debertin. Parallel inference algorithms for distributed knowledge bases (in German). Master's thesis, Institute for Algorithms and Cognitve Systems, University of Karlsruhe, 1994.
J. DeKleer. An assumption-based TMS. Artificial Intelligence, 28:127–162, 1986.
D. Fehrer. A Unifying Framework for Reason Maintenance. In Michael Clarke, Rudolf Kruse, and SerafÃn Moral, editors, Symbolic and Quantitative Approaches to Reasoning and Uncertaint y, Proceedings of ECSQARU '93, Granada, Spain, Nov. 1993, volume 747 of Lecture Notes in Computer Science, pages 113–120, Berlin, Heidelberg, 1993. Springer.
M. Fitting. Bilattices and the semantics of logic programming. Journal of Logic Programming, 11:91–116, 1991.
T. Frühwirth. Annotated constraint logic programming applied to temporal reasoning. In Proceedings of the Symposium on Programming Language Implementation and Logic Programming, pages 230–243. Springer-Verlag, 1994.
Dov M. Gabbay. LDS-labelled deductive systems. Preprint, Dept. of Computing, Imperial College, London, September 1989.
M.L. Ginsberg. Multivalued logics: A uniform approach to inference in artificial intelligence. Computational Intelligence, 4(3):265–316, 1988.
R. Hähnle. Uniform notation of tableau rules for multiple-valued logics. In Proceedings of the International Symposium on Multiple-Valued Logic, pages 26–29. Computer Society Press, 1991.
R. Hähnle. Short normal forms for arbitrary finitely-valued logics. In Proceedings of International Symposium on Methodologies for Intelligent Systems, pages 49–58. Springer-Verlag, 1993.
J. Jaffar and J-L. Lassez. Constraint logic programming. In Proceedings of the 14th ACM Symposium on Principles of Programming Languages, pages 111–119. ACM Press, 1987.
M. Kifer and V.S. Subrahmanian. Theory of generalized annotated logic programming and its applications. Journal of Logic Programming, 12:335–367, 1992.
J.W. Lloyd. Foundations of Logic Programming. Springer-Verlag, 2 edition, 1988.
J.J. Lu. Logic Programming with Signs and Annotations. Journal of Logic and Computation. to appear.
J.J. Lu, N.V. Murray, and E. Rosenthal. Signed formulas and fuzzy operator logics. In Proceedings of the International Symposium on Methodologies for Intelligent Systems. Springer-Verlag, 1994.
J.P. Martins and S.C. Shapiro. A model for belief revision. Artificial Intelligence, 35:25–79, 1988.
N.V. Murray and E. Rosenthal. Adapting classical inference techniques to multiple-valued logics using signed formulas. Fundamenta Informatica, 21:237–253, 1994.
V. Saraswat. Concurrent Constraint Programming. PhD thesis, Carnegie-Mellon, 1991.
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Calmet, J., Lu, J.J., Rodriguez, M., Schü, J. (1996). Signed formula logic programming: Operational semantics and applications (extended abstract). In: Raś, Z.W., Michalewicz, M. (eds) Foundations of Intelligent Systems. ISMIS 1996. Lecture Notes in Computer Science, vol 1079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61286-6_145
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DOI: https://doi.org/10.1007/3-540-61286-6_145
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