Generalized Galois logics: relational semantics of nonclassical logical calculi

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CSLI Publications, 2008 - Language Arts & Disciplines - 382 pages
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Nonclassical logics have played an increasing role in recent years in disciplines ranging from mathematics and computer science to linguistics and philosophy. Generalized Galois Logics develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi. The authors also treat less-familiar and new logical systems with equal deftness. 

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Boolean gaggles
distributive lattices with families of operations
Nondistributive gaggles

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