Cynthia Kop ; Aart Middeldorp ; Thomas Sternagel - Complexity of Conditional Term Rewriting

lmcs:3123 - Logical Methods in Computer Science, February 6, 2017, Volume 13, Issue 1 - https://doi.org/10.23638/LMCS-13(1:6)2017
Complexity of Conditional Term RewritingArticle

Authors: Cynthia Kop ; Aart Middeldorp ; Thomas Sternagel

    We propose a notion of complexity for oriented conditional term rewrite systems satisfying certain restrictions. This notion is realistic in the sense that it measures not only successful computations, but also partial computations that result in a failed rule application. A transformation to unconditional context-sensitive rewrite systems is presented which reflects this complexity notion, as well as a technique to derive runtime and derivational complexity bounds for the result of this transformation.


    Volume: Volume 13, Issue 1
    Published on: February 6, 2017
    Accepted on: February 6, 2017
    Submitted on: February 6, 2017
    Keywords: Computer Science - Logic in Computer Science,F.4.2
    Funding:
      Source : OpenAIRE Graph
    • Constrained Rewriting and SMT: Emerging Trends in Rewriting; Funder: Austrian Science Fund (FWF); Code: I 963
    • Higher-Order Rewriting for Intensional Properties of Programs and Circuits; Funder: European Commission; Code: 658162

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