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Abstract:
Skolemization is a means to eliminate existential quantifiers within
predicate logic sentences and that
by replacing existentially quantified variables with Skolem function
applications.
The arguments of these Skolem functions are variables which are
quantified outside the sub-formula under consideration.
In this paper a Skolemization technique is introduced which abstracts
from some of the arguments of the Skolem functions.
It shows that the Skolemization result obtained this way is usually
more general than what can be achieved from standard (classical)
Skolemization.
This can be of quite some importance since such generalizations often
lead to a reduction of both search space and proof length.
