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Distributed for Center for the Study of Language and Information

Generalized Galois Logics

Relational Semantics of Nonclassical Logical Calculi

Distributed for Center for the Study of Language and Information

Generalized Galois Logics

Relational Semantics of Nonclassical Logical Calculi

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.
 

394 pages | 6 x 9

Lecture Notes

Philosophy: Logic and Philosophy of Language


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

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