Proof Theory and Algebra in Logic is popular PDF and ePub book, written by Hiroakira Ono in 2019-08-02, it is a fantastic choice for those who relish reading online the Philosophy genre. Let's immerse ourselves in this engaging Philosophy book by exploring the summary and details provided below. Remember, Proof Theory and Algebra in Logic can be Read Online from any device for your convenience.
Proof Theory and Algebra in Logic Book PDF Summary
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.
Detail Book of Proof Theory and Algebra in Logic PDF
- Author : Hiroakira Ono
- Release : 02 August 2019
- Publisher : Springer
- ISBN : 9789811379970
- Genre : Philosophy
- Total Page : 160 pages
- Language : English
- PDF File Size : 18,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Proof Theory and Algebra in Logic by Hiroakira Ono, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.