On functional symbol-free logic programs
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 43-48
Cet article a éte moissonné depuis la source Math-Net.Ru
In the present article logic programs (both with and without negation) that do not use functional symbols are studied. Three algorithmic problems for functional symbol-free programs are investigated: the existence of a solvable interpreter, the problem of $\Delta$-equivalence and the problem of logical equivalence. The first two problems are known to be decidable for functional symbol-free definite programs. We show that the third one is also decidable for such programs. In contrast, all three problems are shown to be undedicable for functional symbol-free general programs.
Keywords:
logic programming, functional symbol-free programs, algorithmic problems.
@article{UZERU_2012_1_a7,
author = {L. A. Haykazyan},
title = {On functional symbol-free logic programs},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {43--48},
year = {2012},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2012_1_a7/}
}
L. A. Haykazyan. On functional symbol-free logic programs. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 43-48. http://geodesic.mathdoc.fr/item/UZERU_2012_1_a7/
[1] J. Lloyd, Foundations of Logic Programming, Springer-Verlag, 1984, 124 pp. | MR | Zbl
[2] K.L. Clark, “Negation as Failure”, Logic and Data Bases, eds. Gallaire H., Minker J., Plenum Press, NY, 1978, 292–322 | MR
[3] S.A. Nigiyan, L.O. Khachoyan, “Transformations of Logic Programs”, Programming and Computer Software, 23 (1997), 302–309 | MR | Zbl
[4] S.A. Nigiyan, L.O. Khachoyan, “On $A$-equivalence of Logic Programs”, Dokladi NAN Armenii, 99:2 (1999), 99–103 (in Russian) | MR
[5] J. Lloyd, R. Topor, “Making Prolog more Expressive”, Journal of Logic Programming, 1 (1984), 225–240 | DOI | MR | Zbl
[6] R.M. Robinson, “An Essentially Undecidable Axiom System”, Proceedings of International Congress of Mathematics, 1950