ISBN-10:
1575865734
ISBN-13:
9781575865737
Pub. Date:
12/08/2008
Publisher:
Center for the Study of Language and Inf
Generalized Galois Logics: Relational Semantics of Nonclassical Logical Calculi

Generalized Galois Logics: Relational Semantics of Nonclassical Logical Calculi

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Overview

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.
 

Product Details

ISBN-13: 9781575865737
Publisher: Center for the Study of Language and Inf
Publication date: 12/08/2008
Series: Lecture Notes Series , #188
Pages: 394
Product dimensions: 6.00(w) x 9.00(h) x 1.10(d)

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

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