The Functional Interpretation of Logical Deduction

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Author :
Publisher : World Scientific
ISBN 13 : 9814360961
Total Pages : 299 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis The Functional Interpretation of Logical Deduction by : Anjolina G. de Oliveira

Download or read book The Functional Interpretation of Logical Deduction written by Anjolina G. de Oliveira and published by World Scientific. This book was released on 2012 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Logic, Language and Reasoning

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401145741
Total Pages : 431 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Logic, Language and Reasoning by : Hans Jürgen Ohlbach

Download or read book Logic, Language and Reasoning written by Hans Jürgen Ohlbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: th This volume is dedicated to Dov Gabbay who celebrated his 50 birthday in October 1995. Dov is one of the most outstanding and most productive researchers we have ever met. He has exerted a profound influence in major fields of logic, linguistics and computer science. His contributions in the areas of logic, language and reasoning are so numerous that a comprehensive survey would already fill half of this book. Instead of summarizing his work we decided to let him speak for himself. Sitting in a car on the way to Amsterdam airport he gave an interview to Jelle Gerbrandy and Anne-Marie Mineur. This recorded conversation with him, which is included gives a deep insight into his motivations and into his view of the world, the Almighty and, of course, the role of logic. In addition, this volume contains a partially annotated bibliography of his main papers and books. The length of the bibliography and the broadness of the topics covered there speaks for itself.

Well-Quasi Orders in Computation, Logic, Language and Reasoning

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Author :
Publisher : Springer Nature
ISBN 13 : 3030302296
Total Pages : 391 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Well-Quasi Orders in Computation, Logic, Language and Reasoning by : Peter M. Schuster

Download or read book Well-Quasi Orders in Computation, Logic, Language and Reasoning written by Peter M. Schuster and published by Springer Nature. This book was released on 2020-01-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.

Logic, Form and Function

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Publisher : North Holland
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Logic, Form and Function by : John Alan Robinson

Download or read book Logic, Form and Function written by John Alan Robinson and published by North Holland. This book was released on 1979 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic: form and content; Formulas: syntax and intuitive semantics; Boolean analysis of sentences; Infinitive finitary trees and boolean compactness; Semantic analysis of sentences and terms; Logical consequence: sequents and proofs; Logical equivalence: substitutivity and variants; Normal forms of sentences and sequents; Herbrand models and maps; Quad notation for clausal sequents; Unification; Resolution; Resolution on the computer; Historical notes; Appedix; Index.

Deductive Logic

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Publisher : Hackett Publishing
ISBN 13 : 1603845852
Total Pages : 309 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Deductive Logic by : Warren Goldfarb

Download or read book Deductive Logic written by Warren Goldfarb and published by Hackett Publishing. This book was released on 2003-09-15 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

Advances in Natural Deduction

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Publisher : Springer
ISBN 13 : 9400775482
Total Pages : 288 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Advances in Natural Deduction by : Luiz Carlos Pereira

Download or read book Advances in Natural Deduction written by Luiz Carlos Pereira and published by Springer. This book was released on 2014-07-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.

Proof Theory and Automated Deduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402003684
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)

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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 and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 448 pages. 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

Analysis and Synthesis of Logics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402067828
Total Pages : 612 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis and Synthesis of Logics by : Walter Carnielli

Download or read book Analysis and Synthesis of Logics written by Walter Carnielli and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

The Psychology of Logical Reasoning

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Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis The Psychology of Logical Reasoning by : John Samuel Lindsey

Download or read book The Psychology of Logical Reasoning written by John Samuel Lindsey and published by . This book was released on 2000 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deductive Logic

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Author :
Publisher : Hackett Publishing
ISBN 13 : 1603845852
Total Pages : 309 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Deductive Logic by : Warren Goldfarb

Download or read book Deductive Logic written by Warren Goldfarb and published by Hackett Publishing. This book was released on 2003-09-15 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

Logic and Logical Philosophy

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Logic and Logical Philosophy by :

Download or read book Logic and Logical Philosophy written by and published by . This book was released on 1996 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in Functional Analysis

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Publisher : CRC Press
ISBN 13 : 1498771629
Total Pages : 257 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A First Course in Functional Analysis by : Orr Moshe Shalit

Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit and published by CRC Press. This book was released on 2017-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

The Art of Logical Reasoning

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Art of Logical Reasoning by : Thomas Schwartz

Download or read book The Art of Logical Reasoning written by Thomas Schwartz and published by . This book was released on 1980 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Logical Approach to Discrete Math

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Publisher : Springer Science & Business Media
ISBN 13 : 1475738374
Total Pages : 517 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Logical Approach to Discrete Math by : David Gries

Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

On Homotopy

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Homotopy by : Ioan James

Download or read book On Homotopy written by Ioan James and published by . This book was released on 1960 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boolean Reasoning

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Publisher : Courier Corporation
ISBN 13 : 0486164594
Total Pages : 304 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Boolean Reasoning by : Frank Markham Brown

Download or read book Boolean Reasoning written by Frank Markham Brown and published by Courier Corporation. This book was released on 2012-02-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.

Deduction

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Publisher : Wiley-Blackwell
ISBN 13 : 9780631227137
Total Pages : 528 pages
Book Rating : 4.2/5 (271 download)

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Book Synopsis Deduction by : Daniel Bonevac

Download or read book Deduction written by Daniel Bonevac and published by Wiley-Blackwell. This book was released on 2002-11-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deduction is an efficient and elegant presentation of classical first-order logic. It presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague. Efficient and elegant presentation of classical first-order logic. Presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague. Contains detailed, yet accessible chapters on extensions and revisions of classical logic: modal logic, many-valued logic, fuzzy logic, intuitionistic logic, counterfactuals, deontic logic, common sense reasoning, and quantified modal logic. Includes problem sets, designed to lead students gradually from easier to more difficult problems. Further information and select answers to problems available here: http://bonevac.info/deduction/About_the_Book.html