A compact fixpoint semantics for term rewriting systems
β Scribed by M. Alpuente; M. Comini; S. Escobar; M. Falaschi; J. Iborra
- Book ID
- 108281646
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 716 KB
- Volume
- 411
- Category
- Article
- ISSN
- 0304-3975
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π SIMILAR VOLUMES
It is shown that, even though there is a very well-behaved, natural normal form for lattice theory, there is no finite, convergent \(A C\) term rewrite system for the equational theory of all lattices.
Ground reachability, ground joinability and confluence are shown undecidable for flat term rewriting systems, i.e., systems in which all left and right members of rule have depth at most one.
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