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Titlebook: Rewriting Techniques and Applications; 8th International Co Hubert Comon Conference proceedings 1997 Springer-Verlag Berlin Heidelberg 1997

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A total, ground path ordering for proving termination of AC-rewrite systems, is total, the ordering is total on ground terms, but unlike the ordering proposed by Rubio and Nieuwenhuis, this ordering can orient the distributivity property in the proper direction. The ordering is defined in a natural way using recursive path ordering with status as the underlying basis. This
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Termination of context-sensitive rewriting,e introduce two new techniques for proving termination of context-sensitive rewriting. The first one is a modification of the technique of interpretation in a well-founded order, the second one is implied by a transformation in which context-sensitive termination of the original system can be conclu
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A new parallel closed condition for Church-Rosser of left-linear term rewriting systems,uction from . to . But, it remains open whether it is CR when . for every critical pair < . >. In this paper, we give a partial solution to this problem, that is, a left-linear TRS is CR if . for every critical pair < . > where . is a parallel reduction with the set . of redex occurrences satisfying
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,Scott’s conjecture is true, position sensitive weights, Martin, see [9], and used the hypothetical truth of Scott‘s conjecture, which was 3 years old in 1996..Now the results due to Ursula Martin and Elizabeth Scott are completed with the truth of Scott‘s conjecture. The final proof is simple, but we had difficulties. E. Scott proved the case, when some
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A complete axiomatisation for the inclusion of series-parallel partial orders, From this inductive definition, it is almost immediate that any series-parallel order may be represented by an algebraic expression, which is unique up to the associativity of ordinal sum and to the associativivity and commutativity of disjoint union. In this paper, we introduce a rewrite system ac
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Undecidability of the first order theory of one-step right ground rewriting,ems in rewriting in [DJK93] and [DJK95]. In 1995 Ralf Treinen proved that the theory is undecidable.. [.:.We show that (the ∃.∀. part of) the first order theory of one-step rewriting is undecidable for linear Noetherian rewriting systems.. ∃.∀..
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Conference proceedings 1997pain, in June 1997..The 24 revised full papers presented were selected from a total of 54 submissions. Also included are abstracts of two invited talks and four system descriptions. Besides classical topics like termination, confluence, or applications to theorem proving, several new approaches to r
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