出版社:The Japanese Society for Artificial Intelligence
摘要:In this paper, we propose a completion procedure (called MKBpo ) for term rewriting systems. Based on the existing procedure MKB which works with multiple reduction orderings and the ATMS nodes, the MKBpo improves its performance by restricting the class of reduction orderings to precedence-based path orderings, representing them by logical functions in which a logical variable xfg represents the precedence f > g . By using BDD (binary decision diagrams) as a representation of logical functions, the procedure can be implemented efficiently. This makes it possible to save the number of quasi-parallel processes effectively and suppress the rapid increase in the amount of computation time asymptotically.