Geodesic
Decidability of $\Delta$-equivalence problem for monadic logic programs
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 50-54

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In the present paper the $\Delta$-equivalence problem of monadic logic programs (logic programs using only monadic functional and predicate symbols) is investigated. It is shown that contrary to the general case, the relation of $\Delta$-equivalence is decidable in case of monadic programs. Our proof is based on the decidability of Rabin’s monadic second order logic of successor functions.
Keywords: logic programming, $\Delta$-equivalence. 
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     title = {Decidability of $\Delta$-equivalence problem for monadic logic programs},
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L. A. Haykazyan. Decidability of $\Delta$-equivalence problem for monadic logic programs. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 50-54. http://geodesic.mathdoc.fr/item/UZERU_2011_2_a8/