Publication details

The First-Order Theory of Lexicographic Path Orderings is Undecidable

Hubert Comon, Ralf Treinen

Theoretical Computer Science, April 1997

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.

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@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}},
}

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