Orienting equalities with the Knuth-Bendix order

Konstantin Korovin, Andrei Voronkov

    Research output: Chapter in Book/Conference proceedingConference contribution

    Abstract

    Orientability of systems of equalities is the following problem: Given a system of equalities s1 ≃ t1, . . . , sn ≃ tn, does there exist a simplification ordering ≻ which orients the system, that is for every i ∈ {1,..., n}, either si ≻ ti or ti ≻ si. This problem can be used in rewriting for finding a canonical rewrite system for a system of equalities and in theorem proving for adjusting simplification orderings during completion. We prove that (rather surprisingly) the problem can be solved in polynomial time when we restrict ourselves to the Knuth-Bendix orderings.
    Original languageEnglish
    Title of host publicationProceedings - Symposium on Logic in Computer Science|Proc Symp Logic Comput Sci
    PublisherIEEE Computer Society
    Pages75-84
    Number of pages9
    Publication statusPublished - 2003
    Event18th Annual IEEE Symposium on Logic in Computer Science - Ottawa, Ont.
    Duration: 1 Jul 2003 → …
    http://ieeexplore.ieee.org/iel5/8592/27231/01210045.pdf?tp=&arnumber=1210045&isnumber=27231

    Conference

    Conference18th Annual IEEE Symposium on Logic in Computer Science
    CityOttawa, Ont.
    Period1/07/03 → …
    Internet address

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