(Enter summary)
Abstract: . The class of orthogonal rewriting systems (rewriting systems
where rewrite steps cannot depend on one another) is the main class
of not-necessarily-terminating rewriting systems for which confluence is
known to hold. Huet and Toyama have shown that for left-linear firstorder
term rewriting systems (TRSs) the orthogonality restriction can
be relaxed somewhat by allowing critical pairs (arising from maximally
general ways of dependence between steps), but requiring them to be
parallel... (Update)
Context of citations to this paper: More
.... pairs are not development closed (not even almost, cf. 12] we also cannot use the extensions of Huet s and Toyama s results in [11]. However, permutations always converge and the interaction between reduc tion and permutation is not too intricate. This allows to...
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BibTeX entry: (Update)
Vincent van Oostrom. Development closed critical pairs. In G. Dowek, J. Heering, K. Meinke, and B. Moller, editors, Proceedings of the Second International Workshop on Higher-Order Algebra, Logic and Term Rewriting (HOA '95), Paderborn, Germany, volume 1074 of Lecture Notes in Computer Science, pages 185-200. Springer Verlag, 1996. http://citeseer.ist.psu.edu/vanoostrom96development.html More
@inproceedings{ vanoostrom95development,
author = "Vincent van Oostrom",
title = "Development Closed Critical Pairs",
booktitle = "{HOA}",
pages = "185-200",
year = "1995",
url = "citeseer.ist.psu.edu/vanoostrom96development.html" }
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