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Boolean Reasoning
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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 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 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 2003-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, including previously unpublished research results. Brown begins with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras. Two concluding chapters deal with applications. 1990 edition.
Book Synopsis Boolean Algebra and Its Applications by : J. Eldon Whitesitt
Download or read book Boolean Algebra and Its Applications written by J. Eldon Whitesitt and published by Courier Corporation. This book was released on 2012-05-24 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment begins with set theory and fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. 1961 edition.
Book Synopsis Logic and Boolean Algebra by : Bradford Henry Arnold
Download or read book Logic and Boolean Algebra written by Bradford Henry Arnold and published by Courier Corporation. This book was released on 2011-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Book Synopsis Reasoning in Boolean Networks by : Wolfgang Kunz
Download or read book Reasoning in Boolean Networks written by Wolfgang Kunz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reasoning in Boolean Networks provides a detailed treatment of recent research advances in algorithmic techniques for logic synthesis, test generation and formal verification of digital circuits. The book presents the central idea of approaching design automation problems for logic-level circuits by specific Boolean reasoning techniques. While Boolean reasoning techniques have been a central element of two-level circuit theory for many decades Reasoning in Boolean Networks describes a basic reasoning methodology for multi-level circuits. This leads to a unified view on two-level and multi-level logic synthesis. The presented reasoning techniques are applied to various CAD-problems to demonstrate their usefulness for today's industrially relevant problems. Reasoning in Boolean Networks provides lucid descriptions of basic algorithmic concepts in automatic test pattern generation, logic synthesis and verification and elaborates their intimate relationship to provide further intuition and insight into the subject. Numerous examples are provide for ease in understanding the material. Reasoning in Boolean Networks is intended for researchers in logic synthesis, VLSI testing and formal verification as well as for integrated circuit designers who want to enhance their understanding of basic CAD methodologies.
Book Synopsis Lectures on Boolean Algebras by : Paul R. Halmos
Download or read book Lectures on Boolean Algebras written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This presentation on the basics of Boolean algebra has ranked among the fundamental books on this important subject in mathematics and computing science since its initial publication in 1963. Concise and informal as well as systematic, the text draws upon lectures delivered by Professor Halmos at the University of Chicago to cover many topics in brief individual chapters. The approach is suitable for advanced undergraduates and graduate students in mathematics. Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.
Book Synopsis Algebraic Foundations of Many-Valued Reasoning by : R.L. Cignoli
Download or read book Algebraic Foundations of Many-Valued Reasoning written by R.L. Cignoli and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.
Book Synopsis Mathematical Logic by : George Tourlakis
Download or read book Mathematical Logic written by George Tourlakis and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and user-friendly guide to the use of logic in mathematical reasoning Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy. The book develops the logical tools for writing proofs by guiding readers through both the established "Hilbert" style of proof writing, as well as the "equational" style that is emerging in computer science and engineering applications. Chapters have been organized into the two topical areas of Boolean logic and predicate logic. Techniques situated outside formal logic are applied to illustrate and demonstrate significant facts regarding the power and limitations of logic, such as: Logic can certify truths and only truths. Logic can certify all absolute truths (completeness theorems of Post and Gödel). Logic cannot certify all "conditional" truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gödel's incompleteness theorem. Numerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability. With its thorough scope of coverage and accessible style, Mathematical Logic is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work.
Download or read book Ones and Zeros written by John Gregg and published by Wiley-IEEE Press. This book was released on 1998-03-30 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding features include: a history of mathematical logic, an explanation of the logic of digital circuits, and hands-on exercises and examples.
Download or read book Logic as Algebra written by Paul Halmos and published by American Mathematical Soc.. This book was released on 2019-01-30 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed.
Book Synopsis Introduction to Languages, Machines and Logic by : Alan P. Parkes
Download or read book Introduction to Languages, Machines and Logic written by Alan P. Parkes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-written and accessible introduction to the most important features of formal languages and automata theory. It focuses on the key concepts, illustrating potentially intimidating material through diagrams and pictorial representations, and this edition includes new and expanded coverage of topics such as: reduction and simplification of material on Turing machines; complexity and O notation; propositional logic and first order predicate logic. Aimed primarily at computer scientists rather than mathematicians, algorithms and proofs are presented informally through examples, and there are numerous exercises (many with solutions) and an extensive glossary.
Book Synopsis Introduction to Digital Logic & Boolean Algebra: A Comprehensive Guide to Binary Operations, Logic Gates, Logical Expression Analysis and Number Repre by : M. K. Gooroochurn
Download or read book Introduction to Digital Logic & Boolean Algebra: A Comprehensive Guide to Binary Operations, Logic Gates, Logical Expression Analysis and Number Repre written by M. K. Gooroochurn and published by Knowledge Empowering. This book was released on 2018-10-16 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital technology has become ubiquitous in our modern society, to the extent that we risk of being left behind and becoming cut-off if we do not adopt it! This KES aims to show why digital technology is becoming so appealing, what digital data are, what operations can be performed on them, and how digital logic theory can be used to systematically formulate solutions to several practical problems. As we become immersed in the 0's and 1's of a digital world, knowing the differences between the way our smart digital companions work and how we humans interpret information is of high relevance today, irrespective of the wake of life we find ourselves in with respect to digital technology. Customers are increasingly asked to understand digital terms like bits, bytes, GB, GHz and TB when selecting their next laptop or smartphone, and for anyone aspiring to get into this rapidly evolving environment as a professional, the basics and principles are a must.The underlying digital principles are also found to be a useful asset for learning computer programming, as it enables to understand the machine level operations of the computer, and hence equips one to understand unexpected behaviors of a piece of code and in troubleshooting bugs.
Download or read book Chaotic Logic written by Ben Goertzel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes a network of interrelated ideas which I have developed, off and on, over the past eight or ten years. The underlying theme is the psychological interplay of order and chaos. Or, to put it another way, the interplay of deduction and induction. I will try to explain the relationship between logical, orderly, conscious, rule-following reason and fluid, self organizing, habit-governed, unconscious, chaos-infused intuition. My previous two books, The Structure of Intelligence and The Evolving Mind, briefly touched on this relationship. But these books were primarily concerned with other matters: SI with constructing a formal language for discussing mentality and its mechanization, and EM with exploring the role of evolution in thought. They danced around the edges of the order/chaos problem, without ever fully entering into it. My goal in writing this book was to go directly to the core of mental process, "where angels fear to tread" -- to tackle all the sticky issues which it is considered prudent to avoid: the nature of consciousness, the relation between mind and reality, the justification of belief systems, the connection between creativity and mental illness,.... All of these issues are dealt with here in a straightforward and unified way, using a combination of concepts from my previous work with ideas from chaos theory and complex systems science.
Book Synopsis Logic Synthesis and Optimization by : Tsutomu Sasao
Download or read book Logic Synthesis and Optimization written by Tsutomu Sasao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Synthesis and Optimization presents up-to-date research information in a pedagogical form. The authors are recognized as the leading experts on the subject. The focus of the book is on logic minimization and includes such topics as two-level minimization, multi-level minimization, application of binary decision diagrams, delay optimization, asynchronous circuits, spectral method for logic design, field programmable gate array (FPGA) design, EXOR logic synthesis and technology mapping. Examples and illustrations are included so that each contribution can be read independently. Logic Synthesis and Optimization is an indispensable reference for academic researchers as well as professional CAD engineers.
Book Synopsis Logic Synthesis and Verification by : Soha Hassoun
Download or read book Logic Synthesis and Verification written by Soha Hassoun and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development of logic synthesis and verification have matured considerably over the past two decades. Many commercial products are available, and they have been critical in harnessing advances in fabrication technology to produce today's plethora of electronic components. While this maturity is assuring, the advances in fabrication continue to seemingly present unwieldy challenges. Logic Synthesis and Verification provides a state-of-the-art view of logic synthesis and verification. It consists of fifteen chapters, each focusing on a distinct aspect. Each chapter presents key developments, outlines future challenges, and lists essential references. Two unique features of this book are technical strength and comprehensiveness. The book chapters are written by twenty-eight recognized leaders in the field and reviewed by equally qualified experts. The topics collectively span the field. Logic Synthesis and Verification fills a current gap in the existing CAD literature. Each chapter contains essential information to study a topic at a great depth, and to understand further developments in the field. The book is intended for seniors, graduate students, researchers, and developers of related Computer-Aided Design (CAD) tools. From the foreword: "The commercial success of logic synthesis and verification is due in large part to the ideas of many of the authors of this book. Their innovative work contributed to design automation tools that permanently changed the course of electronic design." by Aart J. de Geus, Chairman and CEO, Synopsys, Inc.
Book Synopsis Logic For Dummies by : Mark Zegarelli
Download or read book Logic For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2006-11-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.
Book Synopsis Rough Computing: Theories, Technologies and Applications by : Hassanien, Aboul Ella
Download or read book Rough Computing: Theories, Technologies and Applications written by Hassanien, Aboul Ella and published by IGI Global. This book was released on 2007-08-31 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers key rough computing research, surveying a full range of topics and examining defining issues of the field.