@INPROCEEDINGS{BasinGanzinger-96-lics, AUTHOR = {Basin, D. and Ganzinger, H.}, BOOKTITLE = {Proc.\ 11th IEEE Symposium on Logic in Computer Science}, TITLE = {Complexity Analysis Based on Ordered Resolution}, YEAR = {1996}, PAGES = {456--465}, PUBLISHER = {IEEE Computer Society Press}, abstract = { McAllester and Given have given procedures for recognizing certain sets of Horn clauses which generate polynomial time decidable entailment relations. These clause sets have a property called {\em locality}, which corresponds to a kind of subformula property for Horn clause proofs. We generalize locality and show that it is in many cases equivalent to a clause set being saturated up to redundancy under ordered resolution. This provides a procedure, which we have implemented in the Saturate system, for testing locality and transforming non-local clause sets into local ones. Our notion of locality is defined on full clauses and is relative to term-orderings; this allows us to use Saturate to automatically establish complexity bounds for entailment problems and algorithms relative to a variety of complexity classes, including PTime, co-NP, and Exponential Time.}, }