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Computer Science > Logic in Computer Science

arXiv:1102.3733v1 (cs)
[Submitted on 18 Feb 2011]

Title:Uncurrying for Innermost Termination and Derivational Complexity

Authors:Harald Zankl, Nao Hirokawa, Aart Middeldorp
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Abstract:First-order applicative term rewriting systems provide a natural framework for modeling higher-order aspects. In earlier work we introduced an uncurrying transformation which is termination preserving and reflecting. In this paper we investigate how this transformation behaves for innermost termination and (innermost) derivational complexity. We prove that it reflects innermost termination and innermost derivational complexity and that it preserves and reflects polynomial derivational complexity. For the preservation of innermost termination and innermost derivational complexity we give counterexamples. Hence uncurrying may be used as a preprocessing transformation for innermost termination proofs and establishing polynomial upper and lower bounds on the derivational complexity. Additionally it may be used to establish upper bounds on the innermost derivational complexity while it neither is sound for proving innermost non-termination nor for obtaining lower bounds on the innermost derivational complexity.
Comments: In Proceedings HOR 2010, arXiv:1102.3465
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:1102.3733 [cs.LO]
  (or arXiv:1102.3733v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1102.3733
Journal reference: EPTCS 49, 2011, pp. 46-57
Related DOI: https://doi.org/10.4204/EPTCS.49.4

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Fri, 18 Feb 2011 01:44:38 UTC (19 KB)
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