Proof Theory and Algebra in Logic (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Short Textbooks in Logic
Release date:	August 2019
First published:	2019
Authors:	Hiroakira Ono
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	160
Edition:	1st ed. 2019
ISBN-13:	978-981-13-7996-3
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Philosophy > Topics in philosophy > Logic
LSN:	981-13-7996-3
Barcode:	9789811379963

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!