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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/9217

Title: Logics without the contraction rule and residuated lattices
Authors: Ono, Hiroakira
Issue Date: 2010-09-22
Publisher: University of Melbourne
Magazine name: Australasian Journal of Logic
Volume: 8
Number: 1
Start page: 50
End page: 81
Abstract: In this paper, we will develop an algebraic study of substructural propositional logics over FL_<ew>, i.e. the logic which is obtained from the intuitionistic logics by eliminating the contraction rule. Our main technical tool is to use residuated lattices as the algebraic semantics for them. This enables us to study different kinds of nonclassical logics, including intermediate logics, BCK-logics, Łukasiewicz’s many-valued logics and fuzzy logics, within a uniform framework.
Rights: © 2010 Hiroakira Ono. Hiroakira Ono, “Logics without the contraction rule”, ustralasian Journal of Logic (8) 2010, 50–81.
URI: http://hdl.handle.net/10119/9217
Material Type: publisher
Appears in Collections:z4-10-1. 雑誌掲載論文 (Journal Articles)

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