Nonclassical logics have recently played an increasing role 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.