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Abstract:
Skolemization is not an equivalence preserving transformation. For the
purposes of refutational theorem proving it is sufficient that
Skolemization preserves satisfiability and unsatisfiability. Therefore
there is sometimes some freedom in interpreting Skolem functions in a
particular way. We show that in certain cases it is possible to
exploit this freedom for simplifying formulae considerably. Examples for cases
where
this occurs systematically are the relational translation from modal
logics to predicate logic and the relativization of first-order logics with
sorts.
