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Canonical Equational Proofs
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Book Synopsis Canonical Equational Proofs by : Bachmair
Download or read book Canonical Equational Proofs written by Bachmair and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.
Author :Vi︠a︡cheslav Leonidovich Girko Publisher :Springer Science & Business Media ISBN 13 :9781402000744 Total Pages :496 pages Book Rating :4.0/5 (7 download)
Book Synopsis Theory of Stochastic Canonical Equations by : Vi︠a︡cheslav Leonidovich Girko
Download or read book Theory of Stochastic Canonical Equations written by Vi︠a︡cheslav Leonidovich Girko and published by Springer Science & Business Media. This book was released on 2001 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Stochastic Canonical Equations by : V.L. Girko
Download or read book Theory of Stochastic Canonical Equations written by V.L. Girko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Stochastic Canonical Equations collects the major results of thirty years of the author's work in the creation of the theory of stochastic canonical equations. It is the first book to completely explore this theory and to provide the necessary tools for dealing with these equations. Included are limit phenomena of sequences of random matrices and the asymptotic properties of the eigenvalues of such matrices. The book is especially interesting since it gives readers a chance to study proofs written by the mathematician who discovered them. All fifty-nine canonical equations are derived and explored along with their applications in such diverse fields as probability and statistics, economics and finance, statistical physics, quantum mechanics, control theory, cryptography, and communications networks. Some of these equations were first published in Russian in 1988 in the book Spectral Theory of Random Matrices, published by Nauka Science, Moscow. An understanding of the structure of random eigenvalues and eigenvectors is central to random matrices and their applications. Random matrix analysis uses a broad spectrum of other parts of mathematics, linear algebra, geometry, analysis, statistical physics, combinatories, and so forth. In return, random matrix theory is one of the chief tools of modern statistics, to the extent that at times the interface between matrix analysis and statistics is notably blurred. Volume I of Theory of Stochastic Canonical Equations discusses the key canonical equations in advanced random matrix analysis. Volume II turns its attention to a broad discussion of some concrete examples of matrices. It contains in-depth discussion of modern, highly-specialized topics in matrix analysis, such as unitary random matrices and Jacoby random matrices. The book is intended for a variety of readers: students, engineers, statisticians, economists and others.
Book Synopsis Arithmetic Differential Equations by : Alexandru Buium
Download or read book Arithmetic Differential Equations written by Alexandru Buium and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.
Book Synopsis Entire Solutions of the Functional Equation from Percus-Yevick and Gel'fand-Levitan Integral Equations by :
Download or read book Entire Solutions of the Functional Equation from Percus-Yevick and Gel'fand-Levitan Integral Equations written by and published by . This book was released on 1975 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Current Trends in Hardware Verification and Automated Theorem Proving by : Graham Birtwistle
Download or read book Current Trends in Hardware Verification and Automated Theorem Proving written by Graham Birtwistle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the partially completed correctness proof of the Viper 'block model'. Viper [7,8,9,11,23] is a microprocessor designed by W. J. Cullyer, C. Pygott and J. Kershaw at the Royal Signals and Radar Establishment in Malvern, England, (henceforth 'RSRE') for use in safety-critical applications such as civil aviation and nuclear power plant control. It is currently finding uses in areas such as the de ployment of weapons from tactical aircraft. To support safety-critical applications, Viper has a particulary simple design about which it is relatively easy to reason using current techniques and models. The designers, who deserve much credit for the promotion of formal methods, intended from the start that Viper be formally verified. Their idea was to model Viper in a sequence of decreasingly abstract levels, each of which concentrated on some aspect ofthe design, such as the flow ofcontrol, the processingofinstructions, and so on. That is, each model would be a specification of the next (less abstract) model, and an implementation of the previous model (if any). The verification effort would then be simplified by being structured according to the sequence of abstraction levels. These models (or levels) of description were characterized by the design team. The first two levels, and part of the third, were written by them in a logical language amenable to reasoning and proof.
Book Synopsis Canonical Perturbation Theories by : Sylvio Ferraz-Mello
Download or read book Canonical Perturbation Theories written by Sylvio Ferraz-Mello and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1966 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classical Mechanics by : Jan Awrejcewicz
Download or read book Classical Mechanics written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-07-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.
Book Synopsis Stochastic Integration and Differential Equations by : Philip Protter
Download or read book Stochastic Integration and Differential Equations written by Philip Protter and published by Springer. This book was released on 2013-12-21 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been 15 years since the first edition of Stochastic Integration and Differential Equations, A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it "a new approach". The new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. Many of the exercises have been tested by graduate students at Purdue and Cornell Universities. Chapter 3 has been completely redone, with a new, more intuitive and simultaneously elementary proof of the fundamental Doob-Meyer decomposition theorem, the more general version of the Girsanov theorem due to Lenglart, the Kazamaki-Novikov criteria for exponential local martingales to be martingales, and a modern treatment of compensators. Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery’s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process). New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html.
Book Synopsis Theory of the Vibration of Rotating Shafts by : Warren Weaver
Download or read book Theory of the Vibration of Rotating Shafts written by Warren Weaver and published by . This book was released on 1917 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rewriting Techniques and Applications by :
Download or read book Rewriting Techniques and Applications written by and published by . This book was released on 2000 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Provenance of Pure Reason by : William W. Tait
Download or read book The Provenance of Pure Reason written by William W. Tait and published by Oxford University Press, USA. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Book Synopsis Journal of Research of the National Bureau of Standards by : United States. National Bureau of Standards
Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1966 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Differential Equations by : Andrew Russell Forsyth
Download or read book Theory of Differential Equations written by Andrew Russell Forsyth and published by . This book was released on 1906 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Statistical Mechanics by : William C. Schieve
Download or read book Quantum Statistical Mechanics written by William C. Schieve and published by Cambridge University Press. This book was released on 2009-04-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.
Book Synopsis Ordinary Differential Equations by : Morris Tenenbaum
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
