Abstract

Complicated problems are often solved by simplification into more manageable abstract problems, the solution of which yields information about the original problem. The proposed theory lays a foundation for such a technique to solve “no-solution” problems in logic programming. The new theory is based on the concept of a homomorphism, which maps a concrete logic program into an abstract one. A homomorphism theorem establishes a relationship between the declarative semantics of such programs, which is used to prove the correctness of the proposed abstraction method for “no-solution” problems. © 1999 Scripta Technica, Syst Comp Jpn, 31(1): 1–10, 2000

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