An Introduction to Substructural Logics

ISBN-13: 9780415215343 / Angielski / Miękka / 1999 / 400 str.

Greg Restall

Opis

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.

Spis treści

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;

O autorze

Greg Restall is Senior Lecturer in Philosophy at Macquarie University in Sydney, Australia.