fragment of the
theory of a lexicographic path
ordering is undecidable, both in the partial and in the total
precedence cases. Our result implies in particular that the
simplification rule of ordered completion is undecidable.
@ARTICLE{comon95tcs,
title = {The First-Order Theory of Lexicographic Path Orderings is Undecidable},
author = {Hubert Comon and Ralf Treinen},
year = {1997},
month = {apr},
journal = {{Theoretical Computer Science}},
note = {{To Appear}},
}