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Proof Theory and Algebra in Logic

Name: Proof Theory and Algebra in Logic
Brand: Springer Verlag, Singapore
SKU: 22307482
Price: 40.6 EUR
Availability: InStock
Author: Hiroakira Ono
ISBN: 9789811379963

Hiroakira Ono

Език

Английски език

Книга С меки корици

Код Либристо: 22307482

Издателство Springer Verlag, Singapore, август 2019

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the... Цялото описание

Код Либристо: 22307482

98 b

40.60 €

79.42 лв

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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.