ABSTRACT

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.

chapter 1|5 pages

Introduction

part I|1 pages

Proof Theory

chapter 2|38 pages

Ifs, Ands and Ors

chapter 3|26 pages

Modalities

chapter 4|16 pages

Hilbert Systems

chapter 5|15 pages

Theories

chapter 6|22 pages

Gentzen Systems

chapter 7|25 pages

Formulae as Types, Proofs as Terms

part II|1 pages

Propositional Structures

chapter 8|34 pages

Defining Propositional Structures

chapter 9|22 pages

Manipulating Propositional Structures

chapter 10|22 pages

Categories

part III|1 pages

Frames

chapter 11|39 pages

Frames 1: Logics with Distribution

chapter 12|20 pages

Frames II: Logics Rejecting Distribution

chapter 13|15 pages

Frame Constructions

part IV|1 pages

Decidability

chapter 14|10 pages

Decision Procedures

chapter 15|14 pages

Undecidability

part V|1 pages

Coda

chapter 16|10 pages

Using Substructural Logic