Some undecidable termination problems for semi-Thue systems
✍ Scribed by Géraud Sénizergues
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 822 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0304-3975
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📜 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 take as our general setting decision problems regarding certain combinatorial properties of THUE systems and algebraic properties of the semi-groups they present. Let the class of all THUE systems be divided up as follows: V o = {all THUE systems with unsolvable word problem}, Wl = {all THUE sys