@INPROCEEDINGS{BachmairGanzinger-95-ctrs, AUTHOR = {Bachmair, L. and Ganzinger, H.}, ADDRESS = b, BOOKTITLE = {Proc.\ 4th Int'l Workshop on Conditional and Typed Rewrite Systems, {\rm Jerusalem}}, EDITOR = {Dershowitz, N. and Lindenstrauss, N.}, PAGES = {1--14}, PUBLISHER = s, SERIES = lncs, VOLUME = {968}, TITLE = {Associative-Commutative Superposition}, YEAR = {1995}, NOTE = {Revised version of TR MPI-I-93-267, 1993}, ABSTRACT = {We present an associative-commutative paramodulation calculus that generalizes the associative-commutative completion procedure to first-order clauses. The calculus is parametrized by a selection function (on negative literals) and a well-founded ordering on terms. It is compatible with an abstract notion of redundancy that covers such simplification techniques as tautology deletion, subsumption, and simplification by (associative-commutative) rewriting. The proof of refutational completeness of the calculus is comparatively simple, and the techniques employed may be of independent interest. } }