Geodesic
Variable Sharing in Substructural Logics: an Algebraic Characterization
Bulletin of the Section of Logic, Tome 47 (2018) no. 2.

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We characterize the non-trivial substructural logics having the variable sharing property as well as its strong version. To this end, we find the algebraic counterparts over varieties of these logical properties.
Keywords: relevant logic, algebraic characterizations of logical properties, variable sharing property, substructural logics 
@article{BSL_2018_47_2_a4,
     author = {Badia, Guillermo},
     title = {Variable {Sharing} in {Substructural} {Logics:} an {Algebraic} {Characterization}},
     journal = {Bulletin of the Section of Logic},
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     volume = {47},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a4/}
}
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Badia, Guillermo. Variable Sharing in Substructural Logics: an Algebraic Characterization. Bulletin of the Section of Logic, Tome 47 (2018) no. 2. http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a4/