Omega-termination is undecidable for totally terminating term rewriting systems:

Abstract: "We give complete proof of the fact that the following problem is undecidable: Given: A term rewriting system, where the termination of its rewrite relation is provable by a total reduction order on ground terms, Wanted: Does there exist a strictly monotonic interpretation in the posi...

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Bibliographic Details
Main Author: Geser, Alfons (Author)
Format: Book
Language:English
Published: Passau 1996
Series:Universität <Passau> / Fakultät für Mathematik und Informatik: MIP 1996,08
Subjects:
Summary:Abstract: "We give complete proof of the fact that the following problem is undecidable: Given: A term rewriting system, where the termination of its rewrite relation is provable by a total reduction order on ground terms, Wanted: Does there exist a strictly monotonic interpretation in the positive integers that proves termination?"
Physical Description:17, 4 S.

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