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Abstract

We investigate the complexity of deciding whether for minimal unsatisfiable formulas F and H there exists a variable renaming, a literal renaming or a homomorphism phiv such that phiv(F) = H. A variable renaming is a permutation of variables. A literal renaming is a permutation of variables which additionally replaces some of the variables by its complements. A homomorphism can be considered as a literal renaming which can map different literals to one literal.

Keywords  complexity - renaming - homomorphism - minimal unsatisfiable formula - graph isomorphism

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