DECIDABILITY OF Δ-EQUIVALENCE PROBLEM FOR MONADIC LOGIC PROGRAMS

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Submitted: 2025-02-22; Published: 2025-02-22

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Abstract

Chair of Programming and Information Technologies, YSU In the present paper the Δ-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 Δ-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.