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Fixed point theorems in logic programming

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Abstract

We discuss two major fixed point theorems which are based on a notion of completeness. Although the spaces involved are of different nature, there is a similarity between the two theorems.

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References

  1. C.R. Baral and V.S. Subrahmanian, Stable and extension class theory for logic programs and default logics, Journal of Automated Reasoning 8 (1992) 345–366.

    Article  MATH  MathSciNet  Google Scholar 

  2. F. Fages, Consistency of Clark's completion and existence of stable models, Journal of Methods of Logic in Computer Science 1 (1994) 51–60.

    Google Scholar 

  3. M. Fitting, Metric methods, three examples and a theorem, Journal of Logic Programming (1993), to appear.

  4. M. Gelfond and V. Lifschitz, The stable model semantics for logic programming, in: Logic Programming: Proceedings of the 5th Int. Conference and Symposium, eds. R. Kowalski and K. Bowen (1988) pp. 1070–1080.

  5. J. Kelley, General Topology (Van Nostrand, Princeton, NJ, 1955).

    Google Scholar 

  6. K. Kunen, Signed data dependencies in logic programs, Journal of Logic Programming 7(3) (1989) 231–245.

    Article  MathSciNet  Google Scholar 

  7. J.W. Loyd, Foundations of Logic Programming (Springer-Verlag, New York, 1987).

    Google Scholar 

  8. A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific Journal of Math. 5 (1955) 285–309.

    MATH  MathSciNet  Google Scholar 

  9. H. Turner, Signed logic programs, in: Logic Programming: Proc. of the 1994 Int. Symposium, ed. M. Bruynooghe (MIT Press, 1994) pp. 61–75.

  10. M.A. Khamsi, D. Misane and V. Kreinovitch, A new method of proving the existence of answer sets for disjunctive logic programs, in: Proc. ILPS'93 Workshop on Logic Programming with Incomplete Information, eds. C. Baral and M. Gelfond (1993).

  11. M.A. Khamsi and D. Misane, Disjunctive signed logic programs, Preprint.

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Khamsi, M.A., Misane, D. Fixed point theorems in logic programming. Annals of Mathematics and Artificial Intelligence 21, 231–243 (1997). https://doi.org/10.1023/A:1018969519807

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  • DOI: https://doi.org/10.1023/A:1018969519807

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