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Development Closed Critical Pairs (1996)  (Make Corrections)  (3 citations)
Vincent van Oostrom
HOA



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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)

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.... 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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0.6:   Higher-Order Families - van Oostrom (1996)   (Correct)
0.6:   Confluence by Developments and Development Closed Critical Pairs - van Oostrom   (Correct)

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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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29   Transactions of the American Mathematical Society (context) - Church, Rosser et al. - 1936
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