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On The Theory Of Boolean Formulas
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Download or read book Boolean Functions written by Yves Crama and published by Cambridge University Press. This book was released on 2011-05-16 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.
Book Synopsis Analysis of Boolean Functions by : Ryan O'Donnell
Download or read book Analysis of Boolean Functions written by Ryan O'Donnell and published by Cambridge University Press. This book was released on 2014-06-05 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.
Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet
Download or read book Boolean Functions for Cryptography and Coding Theory written by Claude Carlet and published by Cambridge University Press. This book was released on 2021-01-07 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean functions are essential to systems for secure and reliable communication. This comprehensive survey of Boolean functions for cryptography and coding covers the whole domain and all important results, building on the author's influential articles with additional topics and recent results. A useful resource for researchers and graduate students, the book balances detailed discussions of properties and parameters with examples of various types of cryptographic attacks that motivate the consideration of these parameters. It provides all the necessary background on mathematics, cryptography, and coding, and an overview on recent applications, such as side channel attacks on smart cards, cloud computing through fully homomorphic encryption, and local pseudo-random generators. The result is a complete and accessible text on the state of the art in single and multiple output Boolean functions that illustrates the interaction between mathematics, computer science, and telecommunications.
Book Synopsis On the Theory of Boolean Formulas by : E. W. Samson
Download or read book On the Theory of Boolean Formulas written by E. W. Samson and published by . This book was released on 1965 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of substitutions for Boolean formulas developed in a previous report is applied here to the determination of those s-tuples of formulas that may be allowable replacements for s -tuples of sub-formulas of given Boolean formulas. The criteria of allowability are very general and flexible, yet may be expressed with great precision and ease. The results formalize and extend various known isolated instances. They may be used for the study of a large number of problems in the theory and application of Boolean formulas and functions.
Book Synopsis On the Theory of Boolean Formulas by : Lorenzo Calabi
Download or read book On the Theory of Boolean Formulas written by Lorenzo Calabi and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substitution operators for subformulas of Boolean formulas are introduced and investigated.
Book Synopsis On the Theory of Boolean Formulas by : E. W. Samson
Download or read book On the Theory of Boolean Formulas written by E. W. Samson and published by . This book was released on 1966 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of prime implicant is defined and studied at a high level of generality. All the usual results are preserved and deepened and some new ones obtained. Paramount are those relating prime implicants and shortest sums. This theoretical development may be applied to the minimization of Boolean formulas built from formulas of an arbitrarily given set S (for example, the set of formulas realized by devices of a particular kind) and representing a given incomplete switching function. Several computational processes are briefly discussed. The general theory is supplemented by results particular to the 'classical' case in which S is the set of the products of literals.
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 308 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.
Book Synopsis On the Theory of Boolean Formulas: Minimal Including Sums, Ii by : E. W. Samson
Download or read book On the Theory of Boolean Formulas: Minimal Including Sums, Ii written by E. W. Samson and published by . This book was released on 1963 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boolean Functions in Coding Theory and Cryptography by : Oleg A. Logachev
Download or read book Boolean Functions in Coding Theory and Cryptography written by Oleg A. Logachev and published by American Mathematical Soc.. This book was released on 2012-02-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.
Book Synopsis The Complexity of Boolean Functions by : Ingo Wegener
Download or read book The Complexity of Boolean Functions written by Ingo Wegener and published by . This book was released on 1987 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Theory of Boolean Formulas: Minimal Including Sums, i by : E. W. Samson
Download or read book On the Theory of Boolean Formulas: Minimal Including Sums, i written by E. W. Samson and published by . This book was released on 1963 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cryptographic Boolean Functions and Applications by : Thomas W. Cusick
Download or read book Cryptographic Boolean Functions and Applications written by Thomas W. Cusick and published by Academic Press. This book was released on 2017-03-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text. Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics Contains a section on special functions and all-new numerical examples
Book Synopsis Lattice Functions and Equations by : Sergiu Rudeanu
Download or read book Lattice Functions and Equations written by Sergiu Rudeanu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.
Book Synopsis On the Theory of Boolean Formulas: Substitution, Replacements and Prime Formulas by : E. W. Samson
Download or read book On the Theory of Boolean Formulas: Substitution, Replacements and Prime Formulas written by E. W. Samson and published by . This book was released on 1967 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discursive presentation of central notions and results developed in a study of Boolean formulas. The definition of formula used here is more general than that of 'function', less general than that of 'word'. Discussed are: subformulas, substitution of subformulas, replacements with constraints and a very broad concept of prime implicant. (Author).
Author :Winfried G. Schneeweiss Publisher :Springer Science & Business Media ISBN 13 :3642456383 Total Pages :275 pages Book Rating :4.6/5 (424 download)
Book Synopsis Boolean Functions by : Winfried G. Schneeweiss
Download or read book Boolean Functions written by Winfried G. Schneeweiss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.
Book Synopsis On the Theory of Boolean Formulas by : Lorenzo Calabi
Download or read book On the Theory of Boolean Formulas written by Lorenzo Calabi and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substitution operators for subformulas of Boolean formulas are introduced and investigated.
Book Synopsis On the Theory of Boolean Formulas: Shortest and Prime Formulas by : E. W. Samson
Download or read book On the Theory of Boolean Formulas: Shortest and Prime Formulas written by E. W. Samson and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
