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http://hdl.handle.net/10119/4989
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| Title: | Algebraization, parametrized local deduction theorem and interpolation for substructural logics over FL |
| Authors: | Galatos, Nikolaos
Ono, Hiroakira |
| Keywords: | Substructural logic
pointed residuated lattice
algebraic semantics
parametrized local deduction theorem
interpolation |
| Issue Date: | 2006-06 |
| Publisher: | Springer |
| Magazine name: | Studia Logica |
| Volume: | 83 |
| Number: | 1-3 |
| Start page: | 279 |
| End page: | 308 |
| DOI: | 10.1007/s11225-006-8305-5 |
| Abstract: | Substructural logics have received a lot of attention in recent years from the communities of both logic and algebra. We discuss the algebraization of substructural logics over the full Lambek calculus and their connections to residuated lattices, and establish a weak form of the deduction theorem that is known as parametrized local deduction theorem. Finally, we study certain interpolation properties and explain how they imply the amalgamation property for certain varieties of residuated lattices. |
| Rights: | This is the author-created version of Springer, Nikolaos Galatos and Hiroakira Ono, Studia Logica, 83(1-3), 2006, 279-308. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/s11225-006-8305-5 |
| URI: | http://hdl.handle.net/10119/4989 |
| Material Type: | author |
| Appears in Collections: | i10-1. 雑誌掲載論文 (Journal Articles)
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| C9279.pdf | | 301Kb | Adobe PDF | View/Open |
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