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Complexities of Homomorphism and Isomorphism for Definite Logic Programs

许道云, 陶志红

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Abstract

A homomorphism ψ of logic programs from P to P' is a function mapping Atoms(P) to Atoms(P') and paper, the complexity of the decision problems on homomorphism and isomorphism for definite logic programs is studied.It is shown that the homomorphism problem (HOM-LP) for definite logic programs is NP-complete, and the isomorphism problem (ISO-LP) is equivalent to the graph isomorphism problem (GI).

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What this paper is about

A homomorphism ψ of logic programs from P to P' is a function mapping Atoms(P) to Atoms(P') and paper, the complexity of the decision problems on homomorphism and isomorphism for definite logic programs is studied.It is shown that the homomorphism problem (HOM-LP) for definite logic programs is NP-complete, and the isomorphism problem (ISO-LP) is equivalent to the graph isomorphism problem (GI).

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Available abstract

A homomorphism ψ of logic programs from P to P' is a function mapping Atoms(P) to Atoms(P') and paper, the complexity of the decision problems on homomorphism and isomorphism for definite logic programs is studied.It is shown that the homomorphism problem (HOM-LP) for definite logic programs is NP-complete, and the isomorphism problem (ISO-LP) is equivalent to the graph isomorphism problem (GI).

Key concepts: Homomorphism, Graph homomorphism, Isomorphism (crystallography), Induced subgraph isomorphism problem, Graph isomorphism, Mathematics, Discrete mathematics, Algebra homomorphism

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