非表示:
キーワード:
-
要旨:
When rewriting and completion techniques are used for equational
theorem proving, the axiom set is saturated with the aim to get a
rewrite system that is terminating and confluent on ground terms.
To reduce the computational effort it should (1) be powerful for
rewriting and (2) create not too many critical pairs. These problems
become especially important if some operators are associative and
commutative (\AC). We show in this paper how these two goals can be
reached to some extent by using ground joinable equations for
simplification purposes and omitting them from the generation of new
facts.
%
For the special case of \AC-operators we present a simple redundancy
criterion which is easy to implement, efficient, and effective in
practice, leading to significant speed-ups.
