Generalized Galois Logics

Relational Semantics of Nonclassical Logical Calculi

Katalin Bimbó and J. Michael Dunn

Generalized Galois Logics

Katalin Bimbó and J. Michael Dunn

Distributed for the Center for the Study of Language and Information

394 pages | 6 x 9
Paper $37.50 ISBN: 9781575865744 Published December 2008
Cloth $80.00 ISBN: 9781575865737 Published December 2008
E-book $30.50 ISBN: 9781575868783 Published July 2015
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.


1. Boolean gaggles

2. Gaggles: distributive lattices with families of operations

3. Nondistributive gaggles

4. Semi-lattice gaggles

5. Partial gaggles

6. Constants

7. Inductively defined operations

8. Cononicity

9. Duality

10. Heterogeneous topics

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