Intuitionistic three-valued logic and logic programming

Vauzeilles, J.; Strauss, A.

Vauzeilles, J. ; Strauss, A.

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 25 (1991) no. 6, pp. 557-587.

MR Zbl

@article{ITA_1991__25_6_557_0,
     author = {Vauzeilles, J. and Strauss, A.},
     title = {Intuitionistic three-valued logic and logic programming},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {557--587},
     publisher = {EDP-Sciences},
     volume = {25},
     number = {6},
     year = {1991},
     mrnumber = {1145428},
     zbl = {0771.68084},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1991__25_6_557_0/}
}

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AU  - Strauss, A.
TI  - Intuitionistic three-valued logic and logic programming
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PY  - 1991
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%A Strauss, A.
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%D 1991
%P 557-587
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Vauzeilles, J.; Strauss, A. Intuitionistic three-valued logic and logic programming. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 25 (1991) no. 6, pp. 557-587. http://www.numdam.org/item/ITA_1991__25_6_557_0/

Bibliographie
Cité par

1. S. Cerrito, Negation as Failure: a Linear Axiomatization, Rapport de recherche, L.R.I., Orsay, 1988.

2. K. L. Clark, Négation as Failure, in Logic and Database, H. GALLAIRE and J. MINER Eds., Plenum Press, New York, 1978, pp.293-322.

3. J. P. Delahaye, Chaînage avant et calcul de modèles booléens et trivalués, Expert Systems and their applications, Avignon, 1987.

4. M. Fitting, A Kripke-Kleene Semantics for General Logic programs, J. Logic Programming, 1985, 2, pp. 295-321. | MR | Zbl

5. J. Gallier, Logic for Computer Science: Foundations of Automatic Theorem proving, Harper and Row, New York, 1986. | Zbl

6. G. Gentzen, Collected works, SZABO Ed., North Holland, Amsterdam, 1969. | MR

7. J. Y. Girard, Three-Valued Logic and Cut-Elimination: The Actual Meaning of Takeuti's Conjecture, Dissertationes Math., Warszawa, 1976. | Zbl

8. J. Y. Girard, Théorie de la démonstration, Cours de 3° cycle, Université Paris-VII, 1986.

9. J. Y. Girard, Proof Theory and Logical Complexity, 1987, 1, Napoli, Bibliopolis. | MR | Zbl

10. K. Kunen, Negation in logic programming, J. Logic programming, 1987, 4, pp. 289-308. | MR | Zbl

11. J. W. Lloyd, Foundations of Logic programming, Second Edition, Springer Verlag, Berlin, 1987. | MR | Zbl

12. P. H. Schmitt, Computational Aspects of Three Valued Logic, Proc. 8th Conf. Automated Déduction, Lecture Notes in Comput. Sci., 1986, 230, Springer-Verlag, pp. 190-198. | MR | Zbl

13. J. C. Shepherdson, Negation as Failure: A Comparison of Clark's Completed Data Base and Reiter's Closes World Assumption, J. Logic Programming, 1984, 1, pp. 51-81. | MR | Zbl

14. J. C. Shepherdson, Negation as Failure II, J. Logic programming, 1985, 3, pp. 185-202. | MR | Zbl

15. J. C. Shepherdson, Negation in Logic Programming, in J. MINKER Éd., Foundations of Deductive Databases and Logic Programming, Morgan Kaufman, Los Altos, 1988, pp. 19-88. | MR | Zbl

16. M. H. Van Emden and R. Kowalski, The Semantics of Predicate Logic as a Programming Language, J. Assoc. Comput. Mach., 1976, 23, pp. 733-742. | MR | Zbl