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Closure operators and complete embeddings of residuated lattices
Studia Logica 74 (3):427 - 440 (2003)
Abstract
In this paper, a theorem on the existence of complete embedding of partially ordered monoids into complete residuated lattices is shown. From this, many interesting results on residuated lattices and substructural logics follow, including various types of completeness theorems of substructural logics.Author's Profile
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Citations of this work
Algebraic aspects of cut elimination.Francesco Belardinelli, Peter Jipsen & Hiroakira Ono - 2004 - Studia Logica 77 (2):209 - 240.
Cut elimination and strong separation for substructural logics: an algebraic approach.Nikolaos Galatos & Hiroakira Ono - 2010 - Annals of Pure and Applied Logic 161 (9):1097-1133.
Conserving involution in residuated structures.Ai-ni Hsieh & James G. Raftery - 2007 - Mathematical Logic Quarterly 53 (6):583-609.
Crawley Completions of Residuated Lattices and Algebraic Completeness of Substructural Predicate Logics.Hiroakira Ono - 2012 - Studia Logica 100 (1-2):339-359.
A finite model property for RMImin.Ai-ni Hsieh & James G. Raftery - 2006 - Mathematical Logic Quarterly 52 (6):602-612.
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