An Introduction to Substructural Logics

This book introduces an important group of logics that have come to be known as substructural. It is the first to survey the important impact this class of logics has had on developments in philosophy, computing and linguistics.

Chapter 1 Introduction; Part 1 Proof Theory; Chapter 2 Ifs, Ands and Ors; Chapter 3 Chapter 3Modalities; Chapter 4 Hilbert Systems; Chapter 5 Theories; Chapter 6 Gentzen Systems; Chapter 7 Formulae as Types, Proofs as Terms; Part 2 Propositional Structures; Chapter 8 Defining Propositioned Structures; Chapter 9 Manipulating Propositional Structures; Chapter 10 Categories; Part 3 Frames; Chapter 11 Frames I: Logics with Distribution; Chapter 12 Frames II: Logics Rejecting Distribution; Chapter 13 Frame Constructions; Part 4 Decidability; Chapter 14 Decision Procedures; Chapter 15 Undecidability; Part 5 Coda; Chapter 16 Using Substructural Logic;