Synopses & Reviews
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.
About the Author
Katalin Bimbó is a research associate at Indiana University.
J. Michael Dunn is the Oscar R. Ewing Professor Emeritus of Philosophy and professor emeritus of computer science, cognitive science, and informatics at Indiana University.
Table of Contents
Introduction
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