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Hiroakira Ono Proof Theory and Algebra in Logic (Paperback)
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- Country/Region of Manufacture
- SG
- EAN
- 9789811379963
- Edition
- 1st ed. 2019
- ISBN
- 9789811379963
- Item Height
- 235mm
- Publication Name
- Proof Theory and Algebra in Logic
- Title
- Proof Theory and Algebra in Logic
- Release Date
- 08/19/2019
- Release Year
- 2019
- Series
- Short Textbooks in Logic
- Publication Year
- 2019
- Format
- Trade Paperback
- Language
- English
- Book Title
- Proof Theory and Algebra in Logic
- Item Length
- 9.3in
- Publisher
- Springer
- Genre
- Computers, Mathematics, Philosophy
- Topic
- Computer Science, Logic
- Item Width
- 6.1in
- Item Weight
- 16 Oz
- Number of Pages
- VIII, 160 Pages
關於產品
Product Information
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 inthe 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.
Product Identifiers
Publisher
Springer
ISBN-10
9811379963
ISBN-13
9789811379963
eBay Product ID (ePID)
16038568008
Product Key Features
Book Title
Proof Theory and Algebra in Logic
Format
Trade Paperback
Language
English
Topic
Computer Science, Logic
Publication Year
2019
Genre
Computers, Mathematics, Philosophy
Number of Pages
VIII, 160 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
16 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Bc1-199
Reviews
"I cannot think of a better textbook as the backbone of an introductory course in proof theory, given how clear and self-contained the material is. ... 'Proof Theory and Algebra in Logic' is an inspiring book that sows the seeds for further studies, and it is the perfect bridge towards more advanced research topics." (Gianluca Caterina, MAA Reviews, June 21, 2021)
Table of Content
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.
Copyright Date
2019
Series
Short Textbooks in Logic Ser.
Illustrated
Yes
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