Goal-Directed Proof Theory

2013-04-17 Philosophy

Author : Dov M. Gabbay
Release : 2013-04-17
Genre : Philosophy
Kind : eBook
Book Rating : 133/5 ( reviews)

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Book Synopsis Goal-Directed Proof Theory by : Dov M. Gabbay

Download or read book Goal-Directed Proof Theory written by Dov M. Gabbay. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective. Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.

Goal-Directed Proof Theory

2014-01-15

Author : Dov M. Gabbay
Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 144/5 ( reviews)

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Book Synopsis Goal-Directed Proof Theory by : Dov M. Gabbay

Download or read book Goal-Directed Proof Theory written by Dov M. Gabbay. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Artificial Intelligence

1995-09-27 Computers

Author : Jacques Wainer
Release : 1995-09-27
Genre : Computers
Kind : eBook
Book Rating : 365/5 ( reviews)

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Book Synopsis Advances in Artificial Intelligence by : Jacques Wainer

Download or read book Advances in Artificial Intelligence written by Jacques Wainer. This book was released on 1995-09-27. Available in PDF, EPUB and Kindle. Book excerpt: Invited papers; knowledge representation and automated reasoning; tutoring systems; machine learning; neural networks; distributed AI; knowledge acquisition and knowledge bases; posters.

An Introduction to Proof Theory

2021-08-12 Philosophy

Author : Paolo Mancosu
Release : 2021-08-12
Genre : Philosophy
Kind : eBook
Book Rating : 299/5 ( reviews)

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Book Synopsis An Introduction to Proof Theory by : Paolo Mancosu

Download or read book An Introduction to Proof Theory written by Paolo Mancosu. This book was released on 2021-08-12. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Proof Theory and Automated Deduction

2001-11-30 Computers

Author : Jean Goubault-Larrecq
Release : 2001-11-30
Genre : Computers
Kind : eBook
Book Rating : 684/5 ( reviews)

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Book Synopsis Proof Theory and Automated Deduction by : Jean Goubault-Larrecq

Download or read book Proof Theory and Automated Deduction written by Jean Goubault-Larrecq. This book was released on 2001-11-30. Available in PDF, EPUB and Kindle. Book excerpt: Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR

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