Proof Theory and Algebra in Logic

Author:   Hiroakira Ono
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2019
ISBN:  

9789811379963


Pages:   160
Publication Date:   19 August 2019
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Our Price $77.60 Quantity:  
Add to Cart

Share |

Proof Theory and Algebra in Logic


Add your own review!

Overview

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The importance of combining these two has been increasingly recognized in recent years. It highlights the contrasts between the deep, concrete results using the former and the general, abstract ones using the latter. Covering modal logics, many-valued logics, superintuitionistic and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for undergraduate or graduate level courses.The book is divided into two parts: Proof Theory in Part I and Algebra in Logic in Part II. Part I presents sequent systems and discusses cut elimination and its applications in detail. It also provides simplified proof of cut elimination, making the topic more accessible. The last chapter of Part I is devoted to clarification of the classes of logics that are discussed in the second part. Part II focuses on algebraic semantics for these logics. At the same time, it is a gentle introduction to the basics of algebraic logic and universal algebra with many examples of their applications in logic. Part II can be read independently of Part I, with only minimum knowledge required, and as such is suitable as a textbook for short introductory courses on algebra in logic.

Full Product Details

Author:   Hiroakira Ono
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2019
Weight:   0.267kg
ISBN:  

9789811379963


ISBN 10:   9811379963
Pages:   160
Publication Date:   19 August 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Part I Proof Theory.- Sequent systems.- Cut elimination for sequent systems.- Proof-theoretic analysis of logical properties.- Modal and substructural logics.- Deducibility and axiomatic extensions.- Part II Algebra in Logic.- Boolean algebras and classical logic.- Many-valued algebras.- Heyting algebras and intuitionistic logic.- Logics and varieties.- Residuated structures.- Modal algebras.- References.- Index.

Reviews

Author Information

Hiroakira Ono is an emeritus professor of Japan Advanced Institute for Science and Technology (JAIST). He moved to JAIST in 1993 after working at Hiroshima University for twenty years. Later he became a distinguished professor until his retirement from JAIST in 2012. His main interest is study of nonclassical logics, in particular substructural logics and intermediate logics, from both syntactic and semantical point of view. In addition to his co-authored book on substructural logics in 2007, he published six textbooks in Japanese, including those on logic and algebra, one of which gained a reputation as one of most popular textbooks on logic in Japan since its publication in 1994.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MDRG1

 VIEW OUR LATEST READING GUIDE HERE 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List