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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10119/9217
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| 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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| 15645.pdf | | 554Kb | Adobe PDF | View/Open |
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