Logo - springer
Slogan - springer

Mathematics | Proof Theory for Fuzzy Logics

Proof Theory for Fuzzy Logics

Series: Applied Logic Series, Vol. 36

Metcalfe, George, Olivetti, Nicola, Gabbay, Dov M.

2009, VIII, 276 p.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$139.00

(net) price for USA

ISBN 978-1-4020-9409-5

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$179.00

(net) price for USA

ISBN 978-1-4020-9408-8

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$179.00

(net) price for USA

ISBN 978-90-481-8121-6

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Provides a state-of-the-art introduction to fuzzy logics that is accessible to researchers and students and is comprehensive, being the first book to take into account the many developments in the field of the past ten years
  • Is the first book on proof theory for fuzzy logics, collecting together in one uniform and coherent presentation previously widely-dispersed results, methods, and applications in this area
  • Provides a collection of easy-to-implement algorithms for logics widely used in Fuzzy Logic
  • Provides a structured and uniform approach for designing and developing proof systems and establishing standard completeness for new logics that might interest or be useful to the readers
  • Is the first book to present fuzzy logics in connection with well-known logics arising in different areas from mathematics, computer science, and philosophy, making it valuable for any reader with a broader interest in non-classical logics and automated reasoning

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.

Content Level » Research

Keywords » Addition - Fuzzy mathematics - Gentzen - Hilbert - Many valued logics - Ordered algebraic structures - Proof theory - Substructural logics - Truth values - Vagueness - fuzzy logic - mathematics - proof

Related subjects » Algebra - Artificial Intelligence - Logic & Philosophy of Language - Mathematics

Table of contents 

The Semantic Basis.- Hilbert Systems.- Gentzen Systems.- Syntactic Eliminations.- Fundamental Logics.- Uniformity and Efficiency.- First-Order Logics.- Further Topics.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Mathematical Logic and Foundations.