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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/14220

Title: Non-E-Overlapping, Weakly Shallow, and Non-Collapsing TRSs are Confluent
Authors: Sakai, Masahiko
Oyamaguchi, Michio
Ogawa, Mizuhito
Keywords: Term rewriting systems
Confluence
non-left liner
Issue Date: 2015-07-25
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 9195
Start page: 111
End page: 126
DOI: 10.1007/978-3-319-21401-6_7
Abstract: A term is weakly shallow if each defined function symbol occurs either at the root or in the ground subterms, and a term rewriting system is weakly shallow if both sides of a rewrite rule are weakly shallow. This paper proves that non-E-overlapping, weakly-shallow, and non-collapsing term rewriting systems are confluent by extending reduction graph techniques in our previous work [SO10] with towers of expansions.
Rights: This is the author-created version of Springer, Masahiko Sakai, Michio Oyamaguchi, Mizuhito Ogawa, Lecture Notes in Computer Science, 9195, 2015, 111-126. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-319-21401-6_7
URI: http://hdl.handle.net/10119/14220
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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