An Introduction to Substructural Logics

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This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.

Author(s): Greg Restall
Edition: 1st Edition
Publisher: Routledge
Year: 2000

Language: English
Pages: 396
City: London, New York
Tags: Substructural Logics, Logic, Mathematics, Linear Logic, Relevance Logic

Introduction

Part I: Proof Theory
- Ifs, Ands and Ors
- Modalities
- Hilbert Systems
- Theories
- Gentzen Systems
- Formulas as Types, Proofs as Terms

Part II: Propositional Structures
- Defining Propositional Structures
- Manipulating Propositional Structures
- Categories

Part III: Frames
- Frames I: Logics with Distribution
- Frames II: Logics without Distribution
- Frame Constructions

Part IV: Decidability and Undecidability
- Decision Procedures
- Undecidability

Part V: Coda
- Using Substructural Logics

[From http://consequently.org/isl/]