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On the Halting of Tree Replacement Systems.
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In this paper, a meta theorem is proved giving sufficient conditions for termination of tree replacement systems, which leads to a new proof methodology for proving termination of optimization techniques, which is used in this paper.Abstract:
: A meta theorem is proved giving sufficient conditions for termination of tree replacement systems. This leads to a new proof methodology for proving termination of optimization techniques. (Author)read more
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Book ChapterDOI
Equations and rewrite rules: a survey
Gérard Huet,Derek C. Oppen +1 more
TL;DR: The problem of "solving" equations, the problem of proving termination of sets of rewrite rules, and the decidability and complexity of word problems and of combinations of equational theories are discussed.
Journal ArticleDOI
Termination of rewriting
TL;DR: Methods for proving that systems of rewrite rules are terminating programs are described, including polynomial interpretations and path orderings, which are used in termination proofs of various kinds of orderings on terms.
Journal ArticleDOI
Orderings for term-rewriting systems☆
TL;DR: Methods of proving that a term-rewriting system terminates are presented, based on the notion of "simplification orderings", orderings in which any term that is homeomorphically embeddable in another is smaller than the other.
Journal ArticleDOI
Proving termination with multiset orderings
Nachum Dershowitz,Zohar Manna +1 more
TL;DR: The multiset ordering enables the use of relatively simple and intuitive termination functions in otherwise difficult termination proofs, and is used to prove the termination of production systems, programs defined in terms of sets of rewriting rules.
Proceedings ArticleDOI
Orderings for term-rewriting systems
TL;DR: Methods of proving that a term-rewriting system terminates are presented, based on the notion of "simplification orderings", orderings in which any term that is homeomorphically embeddable in another is smaller than the other.