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Deductive Systems
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Book Synopsis Deductive Systems in Traditional and Modern Logic by : Alex Citkin
Download or read book Deductive Systems in Traditional and Modern Logic written by Alex Citkin and published by MDPI. This book was released on 2020-11-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Book Synopsis Philosophy of Mathematics and Deductive Structure in Euclid's Elements by : Ian Mueller
Download or read book Philosophy of Mathematics and Deductive Structure in Euclid's Elements written by Ian Mueller and published by Courier Dover Publications. This book was released on 2006 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Book Synopsis Theory of Deductive Systems and Its Applications by : Sergeĭ I︠U︡rʹevich Maslov
Download or read book Theory of Deductive Systems and Its Applications written by Sergeĭ I︠U︡rʹevich Maslov and published by MIT Press (MA). This book was released on 1987 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a fluent, clear, and lively style this translation by two of Maslov's junior colleagues brings the work of the late Soviet scientist S. Yu. Maslov to a wider audience. Maslov was considered by his peers to be a man of genius who was making fundamental contributions in the fields of automatic theorem proving and computational logic. He published little, and those few papers were regarded as notoriously difficult. This book, however, was written for a broad audience of readers and describes elegant examples of applications in such fields as computer science, artificial intelligence, operations research, economic modeling, and biological modeling, among others. The book also brings to light the work by the American mathematician E. L. Post, which inspired Maslov's own work in the development of a general theory and which has been long neglected by mathematicial logicians and systems theorists in the United States. The book's first chapter introduces the Rules of the Game. Part I, Mathematics of Calculi, covers E. L. Post's canonical systems, deductive systems and algorithms, and probabilistic calculi and deductive information. Part II, Horizonal Modeling, takes up a "toy" economy, the calculi of technological possibilities, and the development of rules. Part III, Vertical Modeling, deals with the topics of "to fight and to search" and the consequences of the asymmetry of cognitive mechanisms. Vladimir Lifschitz is affiliated with the Department of Computer Science at Stanford University, and Michael Gelfond with the Department of Electrical Engineering and Computer Science at the University of Texas, El Paso. Theory of Deductive Systems and Its Applicationsis included in the Foundation of Computing Series, edited by Michael Garey.
Book Synopsis Natural Deduction, Hybrid Systems and Modal Logics by : Andrzej Indrzejczak
Download or read book Natural Deduction, Hybrid Systems and Modal Logics written by Andrzej Indrzejczak and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
Book Synopsis Deductive Systems by : Garth E. Runion
Download or read book Deductive Systems written by Garth E. Runion and published by . This book was released on 1978 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource is devoted to finite and non-Euclidean geometric systems for secondary school teachers and students.
Book Synopsis Deductive Software Verification – The KeY Book by : Wolfgang Ahrendt
Download or read book Deductive Software Verification – The KeY Book written by Wolfgang Ahrendt and published by Springer. This book was released on 2016-12-19 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Static analysis of software with deductive methods is a highly dynamic field of research on the verge of becoming a mainstream technology in software engineering. It consists of a large portfolio of - mostly fully automated - analyses: formal verification, test generation, security analysis, visualization, and debugging. All of them are realized in the state-of-art deductive verification framework KeY. This book is the definitive guide to KeY that lets you explore the full potential of deductive software verification in practice. It contains the complete theory behind KeY for active researchers who want to understand it in depth or use it in their own work. But the book also features fully self-contained chapters on the Java Modeling Language and on Using KeY that require nothing else than familiarity with Java. All other chapters are accessible for graduate students (M.Sc. level and beyond). The KeY framework is free and open software, downloadable from the book companion website which contains also all code examples mentioned in this book.
Book Synopsis Theory of Deductive Systems and Its Applications by : Sergeĭ I︠U︡rʹevich Maslov
Download or read book Theory of Deductive Systems and Its Applications written by Sergeĭ I︠U︡rʹevich Maslov and published by MIT Press (MA). This book was released on 1987 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a fluent, clear, and lively style this translation by two of Maslov's junior colleagues brings the work of the late Soviet scientist S. Yu. Maslov to a wider audience. Maslov was considered by his peers to be a man of genius who was making fundamental contributions in the fields of automatic theorem proving and computational logic. He published little, and those few papers were regarded as notoriously difficult. This book, however, was written for a broad audience of readers and describes elegant examples of applications in such fields as computer science, artificial intelligence, operations research, economic modeling, and biological modeling, among others. The book also brings to light the work by the American mathematician E. L. Post, which inspired Maslov's own work in the development of a general theory and which has been long neglected by mathematicial logicians and systems theorists in the United States. The book's first chapter introduces the Rules of the Game. Part I, Mathematics of Calculi, covers E. L. Post's canonical systems, deductive systems and algorithms, and probabilistic calculi and deductive information. Part II, Horizonal Modeling, takes up a "toy" economy, the calculi of technological possibilities, and the development of rules. Part III, Vertical Modeling, deals with the topics of "to fight and to search" and the consequences of the asymmetry of cognitive mechanisms. Vladimir Lifschitz is affiliated with the Department of Computer Science at Stanford University, and Michael Gelfond with the Department of Electrical Engineering and Computer Science at the University of Texas, El Paso. Theory of Deductive Systems and Its Applicationsis included in the Foundation of Computing Series, edited by Michael Garey.
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 Introduction to Logic by : Alfred Tarski
Download or read book Introduction to Logic written by Alfred Tarski and published by Courier Corporation. This book was released on 2013-07-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Book Synopsis Logic, Inductive and Deductive by : Adam Leroy Jones
Download or read book Logic, Inductive and Deductive written by Adam Leroy Jones and published by . This book was released on 1909 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automated Deduction - CADE-16 by : Harald Ganzinger
Download or read book Automated Deduction - CADE-16 written by Harald Ganzinger and published by Springer Science & Business Media. This book was released on 1999-06-23 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Automated Deduction, CADE-16, held in Trento, Italy in July 1999 as part of FLoC'99. The 21 revised full papers presented were carefully reviewed and selected from a total of 83 submissions. Also included are 15 system descriptions and two invited full papers. The book addresses all current issues in automated deduction and theorem proving, ranging from logical foundations to deduction systems design and evaluation
Book Synopsis Labelled Deductive Systems by : Dov M. Gabbay
Download or read book Labelled Deductive Systems written by Dov M. Gabbay and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work introduces a new unifying framework for logics which makes it particularly suitable for applications. It develops its general theory and illustrates it with applications in logic, computer science, artificial intelligence, and philosophy.
Author :Rolf Socher-Ambrosius Publisher :Springer Science & Business Media ISBN 13 :1461222664 Total Pages :218 pages Book Rating :4.4/5 (612 download)
Book Synopsis Deduction Systems by : Rolf Socher-Ambrosius
Download or read book Deduction Systems written by Rolf Socher-Ambrosius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of mechanizing deductive reasoning can be traced all the way back to Leibniz, who proposed the development of a rational calculus for this purpose. But it was not until the appearance of Frege's 1879 Begriffsschrift-"not only the direct ancestor of contemporary systems of mathematical logic, but also the ancestor of all formal languages, including computer programming languages" ([Dav83])-that the fundamental concepts of modern mathematical logic were developed. Whitehead and Russell showed in their Principia Mathematica that the entirety of classical mathematics can be developed within the framework of a formal calculus, and in 1930, Skolem, Herbrand, and Godel demonstrated that the first-order predicate calculus (which is such a calculus) is complete, i. e. , that every valid formula in the language of the predicate calculus is derivable from its axioms. Skolem, Herbrand, and GOdel further proved that in order to mechanize reasoning within the predicate calculus, it suffices to Herbrand consider only interpretations of formulae over their associated universes. We will see that the upshot of this discovery is that the validity of a formula in the predicate calculus can be deduced from the structure of its constituents, so that a machine might perform the logical inferences required to determine its validity. With the advent of computers in the 1950s there developed an interest in automatic theorem proving.
Book Synopsis Revival: A Modern Introduction to Logic (1950) by : Lizzie Susan Stebbing
Download or read book Revival: A Modern Introduction to Logic (1950) written by Lizzie Susan Stebbing and published by Routledge. This book was released on 2018-05-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the author of this volume states, "the science of logic does not stand still." This book was intended to cover the advances made in the study of logic in the first half of the nineteenth century, during which time the author felt there to have been greater advances made than in the whole of the preceding period from the time of Aristotle. Advances which, in her eyes, were not present in contemporary text books. As such, this book offers a valuable insight into the progress of the subject, tracing this frenetic period in its development with a first-hand awareness of its documentary value.
Book Synopsis Deductive Systems in Traditional and Modern Logic by : Urszula Wybraniec-Skardowska
Download or read book Deductive Systems in Traditional and Modern Logic written by Urszula Wybraniec-Skardowska and published by . This book was released on 2020 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Book Synopsis Theories of Scientific Method by : Robert Nola
Download or read book Theories of Scientific Method written by Robert Nola and published by Routledge. This book was released on 2014-12-18 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is it to be scientific? Is there such a thing as scientific method? And if so, how might such methods be justified? Robert Nola and Howard Sankey seek to provide answers to these fundamental questions in their exploration of the major recent theories of scientific method. Although for many scientists their understanding of method is something they just pick up in the course of being trained, Nola and Sankey argue that it is possible to be explicit about what this tacit understanding of method is, rather than leave it as some unfathomable mystery. They robustly defend the idea that there is such a thing as scientific method and show how this might be legitimated. This book begins with the question of what methodology might mean and explores the notions of values, rules and principles, before investigating how methodologists have sought to show that our scientific methods are rational. Part 2 of this book sets out some principles of inductive method and examines its alternatives including abduction, IBE, and hypothetico-deductivism. Part 3 introduces probabilistic modes of reasoning, particularly Bayesianism in its various guises, and shows how it is able to give an account of many of the values and rules of method. Part 4 considers the ideas of philosophers who have proposed distinctive theories of method such as Popper, Lakatos, Kuhn and Feyerabend and Part 5 continues this theme by considering philosophers who have proposed naturalised theories of method such as Quine, Laudan and Rescher. This book offers readers a comprehensive introduction to the idea of scientific method and a wide-ranging discussion of how historians of science, philosophers of science and scientists have grappled with the question over the last fifty years.
Book Synopsis An Introduction to Deductive Logic by : Gary Iseminger
Download or read book An Introduction to Deductive Logic written by Gary Iseminger and published by Ardent Media. This book was released on 1968 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
