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The Functional Interpretation Of Logical Deduction
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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.
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.
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.
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.
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.
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.
Author :Jean Goubault-Larrecq Publisher :Springer Science & Business Media ISBN 13 :9781402003684 Total Pages :448 pages Book Rating :4.0/5 (36 download)
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
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:
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:
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:
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:
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.
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
Book Synopsis Computation as Logic by : René Lalement
Download or read book Computation as Logic written by René Lalement and published by Prentice Hall. This book was released on 1993 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic plays an important role in the two areas of computer science - reduction and resolution respectively associated with functional programming and logic programming. This book illustrates that logic is not only a language in which one can accurately state facts or knowledge (as in artificial intelligence) but also that programming itself is a logical activity.
Book Synopsis Artificial Intelligence in Databases and Information Systems (DS-3) by : R. Meersman
Download or read book Artificial Intelligence in Databases and Information Systems (DS-3) written by R. Meersman and published by North Holland. This book was released on 1990 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume on Database Semantics looks at the link between Artificial Intelligence and Databases / Information Systems. Database / Information System design, implementation and operation is a complex problem-solving task, where expert knowledge is needed. Use of Artificial Intelligence techniques and principles may help to acquire, represent and manipulate this knowledge, resulting in the enrichment of database semantics.
Book Synopsis Introduction to Logical Theory by : P. F. Strawson
Download or read book Introduction to Logical Theory written by P. F. Strawson and published by Routledge. This book was released on 2011 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1952, professor Strawsonâe(tm)s highly influential Introduction to Logical Theory provides a detailed examination of the relationship between the behaviour of words in common language and the behaviour of symbols in a logical system. He seeks to explain both the exact nature of the discipline known as Formal Logic, and also to reveal something of the intricate logical structure of ordinary unformalised discourse.
Book Synopsis Toward A Logic of Meanings by : Jean Piaget
Download or read book Toward A Logic of Meanings written by Jean Piaget and published by Psychology Press. This book was released on 2013-05-13 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the last one written by Piaget, presents a new line of empirical studies based on a revised formulation of his theory of the development of logical reasoning. The amended theory overcomes many problems and criticisms of his earlier formulations by providing a fresh explanation for the origin of mental operations and mental organization based on the concept of meaning. It also offers a more elegant vision of the continuity in mental development from birth to adulthood. As the final revision of Piaget's theory -- and one that opens up new areas of inquiry -- this book calls for a reinterpretation of his earlier work -- a task which will occupy scholars for decades to come.
