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

such that

(
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