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Computer Science > Logic in Computer Science

arXiv:1701.00638 (cs)
[Submitted on 3 Jan 2017]

Title:Confluence of Conditional Term Rewrite Systems via Transformations

Authors:Karl Gmeiner (UAS Technikum Wien)
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Abstract:Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term rewrite systems.
Recent results provide confluence criteria for conditional term rewrite systems via transformations, yet they are restricted to CTRSs with certain syntactic properties like weak left-linearity. These syntactic properties imply that the transformations are sound for the given CTRS.
This paper shows how to use transformations to prove confluence of operationally terminating, right-stable deterministic conditional term rewrite systems without the necessity of soundness restrictions. For this purpose, it is shown that certain rewrite strategies, in particular almost U-eagerness and innermost rewriting, always imply soundness.
Comments: In Proceedings WPTE 2016, arXiv:1701.00233
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:1701.00638 [cs.LO]
  (or arXiv:1701.00638v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1701.00638
Journal reference: EPTCS 235, 2017, pp. 32-45
Related DOI: https://doi.org/10.4204/EPTCS.235.3

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Tue, 3 Jan 2017 10:38:23 UTC (20 KB)
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