Geodesic
On functional symbol-free logic programs
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 43-48

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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. 
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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/