Modular term rewriting systems and the termination
β Scribed by Masahito Kurihara; Ikuo Kaji
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 313 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
We give a 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
We investigate proving termination of term rewriting systems by interpretation of terms in a well-founded monotone algebra. The well-known polynomial interpretations can be considered as a particular case in this framework. A classification of types of termination, including simple termination, is p