Decidability of the confluence of finite ground term rewrite systems and of other related term rewrite systems
نویسندگان
چکیده
منابع مشابه
Deciding Confluence of Ground Term Rewrite Systems in Cubic Time
It is well known that the confluence property of ground term rewrite systems (ground TRSs) is decidable in polynomial time. For an efficient implementation, the degree of this polynomial is of great interest. The best complexity bound in the literature is given by Comon, Godoy and Nieuwenhuis (2001), who describe an O(n5) algorithm, where n is the size of the ground TRS. In this paper we improv...
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Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term rewrite systems. Recent results provide confluence criteria for conditional term rewrite systems via transformations, yet they are restricted to CTRSs with ...
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We investigate the new, Turing-complete class of layered systems, whose lefthand sides of rules can only be overlapped at a multiset of disjoint or equal positions. Layered systems define a natural notion of rank for terms: the maximal number of non-overlapping redexes along a path from the root to a leaf. Overlappings are allowed in finite or infinite trees. Rules may be non-terminating, non-l...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 1990
ISSN: 0890-5401
DOI: 10.1016/0890-5401(90)90015-a