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Mathematical Theory Of Switching Circuits And Automata
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Book Synopsis Mathematical Theory of Switching Circuits and Automata by : Sze-Tsen Hu
Download or read book Mathematical Theory of Switching Circuits and Automata written by Sze-Tsen Hu and published by Univ of California Press. This book was released on with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Theory of Switching Circuits and Automata by :
Download or read book Mathematical Theory of Switching Circuits and Automata written by and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Boolean Logic to Switching Circuits and Automata by : Radomir S. Stankovic
Download or read book From Boolean Logic to Switching Circuits and Automata written by Radomir S. Stankovic and published by Springer Science & Business Media. This book was released on 2011-03-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic networks and automata are facets of digital systems. The change of the design of logic networks from skills and art into a scientific discipline was possible by the development of the underlying mathematical theory called the Switching Theory. The fundamentals of this theory come from the attempts towards an algebraic description of laws of thoughts presented in the works by George J. Boole and the works on logic by Augustus De Morgan. As often the case in engineering, when the importance of a problem and the need for solving it reach certain limits, the solutions are searched by many scholars in different parts of the word, simultaneously or at about the same time, however, quite independently and often unaware of the work by other scholars. The formulation and rise of Switching Theory is such an example. This book presents a brief account of the developments of Switching Theory and highlights some less known facts in the history of it. The readers will find the book a fresh look into the development of the field revealing how difficult it has been to arrive at many of the concepts that we now consider obvious . Researchers in the history or philosophy of computing will find this book a valuable source of information that complements the standard presentations of the topic.
Book Synopsis The Algebraic Theory of Switching Circuits by : Gr. C. Moisil
Download or read book The Algebraic Theory of Switching Circuits written by Gr. C. Moisil and published by Elsevier. This book was released on 2014-07-10 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Algebraic Theory of Switching Circuits covers the application of various algebraic tools to the delineation of the algebraic theory of switching circuits for automation with contacts and relays. This book is organized into five parts encompassing 31 chapters. Part I deals with the principles and application of Boolean algebra and the theory of finite fields (Galois fields). Part II emphasizes the importance of the sequential operation of the automata and the variables associated to the current and to the contacts. This part also tackles the recurrence relations that describe operations of the network and the principles of the so-called characteristic equations. Part III reviews the study of networks with secondary elements other than ordinary relays, while Part IV focuses on the fundamentals and application of multi-position contacts. Part V considers several topics related to circuit with electronic elements, including triodes, pentodes, transistors, and cryotrons. This book will be of great value to practicing engineers, mathematicians, and workers in the field of computers.
Book Synopsis Introduction to Switching and Automata Theory by : Michael A. Harrison
Download or read book Introduction to Switching and Automata Theory written by Michael A. Harrison and published by . This book was released on 1965 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Switching and Finite Automata Theory by : Zvi Kohavi
Download or read book Switching and Finite Automata Theory written by Zvi Kohavi and published by McGraw-Hill Companies. This book was released on 1978 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Boolean Logic to Switching Circuits and Automata by : Radomir S. Stankovic
Download or read book From Boolean Logic to Switching Circuits and Automata written by Radomir S. Stankovic and published by . This book was released on 2011-03-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Switching and Finite Automata Theory by : Zvi Kohavi
Download or read book Switching and Finite Automata Theory written by Zvi Kohavi and published by Cambridge University Press. This book was released on 2010 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the structure, behavior, and limitations of logic machines with this thoroughly updated third edition. Many new topics are included, such as CMOS gates, logic synthesis, logic design for emerging nanotechnologies, digital system testing, and asynchronous circuit design, to bring students up-to-speed with modern developments. The intuitive examples and minimal formalism of the previous edition are retained, giving students a text that is logical and easy to follow, yet rigorous. Kohavi and Jha begin with the basics, and then cover combinational logic design and testing, before moving on to more advanced topics in finite-state machine design and testing. Theory is made easier to understand with 200 illustrative examples, and students can test their understanding with over 350 end-of-chapter review questions.
Book Synopsis Switching Circuits; Theory and Logic Design by : H. C. Torng
Download or read book Switching Circuits; Theory and Logic Design written by H. C. Torng and published by Addison Wesley Publishing Company. This book was released on 1972 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automata Theory and its Applications by : Bakhadyr Khoussainov
Download or read book Automata Theory and its Applications written by Bakhadyr Khoussainov 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: The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.
Book Synopsis Modeling Digital Switching Circuits with Linear Algebra by : Mitchell A. Thornton
Download or read book Modeling Digital Switching Circuits with Linear Algebra written by Mitchell A. Thornton and published by Springer Nature. This book was released on 2022-05-31 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Digital Switching Circuits with Linear Algebra describes an approach for modeling digital information and circuitry that is an alternative to Boolean algebra. While the Boolean algebraic model has been wildly successful and is responsible for many advances in modern information technology, the approach described in this book offers new insight and different ways of solving problems. Modeling the bit as a vector instead of a scalar value in the set {0, 1} allows digital circuits to be characterized with transfer functions in the form of a linear transformation matrix. The use of transfer functions is ubiquitous in many areas of engineering and their rich background in linear systems theory and signal processing is easily applied to digital switching circuits with this model. The common tasks of circuit simulation and justification are specific examples of the application of the linear algebraic model and are described in detail. The advantages offered by the new model as compared to traditional methods are emphasized throughout the book. Furthermore, the new approach is easily generalized to other types of information processing circuits such as those based upon multiple-valued or quantum logic; thus providing a unifying mathematical framework common to each of these areas. Modeling Digital Switching Circuits with Linear Algebra provides a blend of theoretical concepts and practical issues involved in implementing the method for circuit design tasks. Data structures are described and are shown to not require any more resources for representing the underlying matrices and vectors than those currently used in modern electronic design automation (EDA) tools based on the Boolean model. Algorithms are described that perform simulation, justification, and other common EDA tasks in an efficient manner that are competitive with conventional design tools. The linear algebraic model can be used to implement common EDA tasks directly upon a structural netlist thus avoiding the intermediate step of transforming a circuit description into a representation of a set of switching functions as is commonly the case when conventional Boolean techniques are used. Implementation results are provided that empirically demonstrate the practicality of the linear algebraic model.
Book Synopsis Switching Theory for Logic Synthesis by : Tsutomu Sasao
Download or read book Switching Theory for Logic Synthesis written by Tsutomu Sasao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Switching Theory for Logic Synthesis covers the basic topics of switching theory and logic synthesis in fourteen chapters. Chapters 1 through 5 provide the mathematical foundation. Chapters 6 through 8 include an introduction to sequential circuits, optimization of sequential machines and asynchronous sequential circuits. Chapters 9 through 14 are the main feature of the book. These chapters introduce and explain various topics that make up the subject of logic synthesis: multi-valued input two-valued output function, logic design for PLDs/FPGAs, EXOR-based design, and complexity theories of logic networks. An appendix providing a history of switching theory is included. The reference list consists of over four hundred entries. Switching Theory for Logic Synthesis is based on the author's lectures at Kyushu Institute of Technology as well as seminars for CAD engineers from various Japanese technology companies. Switching Theory for Logic Synthesis will be of interest to CAD professionals and students at the advanced level. It is also useful as a textbook, as each chapter contains examples, illustrations, and exercises.
Book Synopsis Switching Theory by : Shimon Peter Vingron
Download or read book Switching Theory written by Shimon Peter Vingron and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new approach to an established field introduces the concept of predicate logic in order to supersede propositional logic in switching theory. The author gives new insight into the theory of latches (memory circuits) for use in undergraduate and graduate courses.
Book Synopsis Theory of Digital Automata by : Bohdan Borowik
Download or read book Theory of Digital Automata written by Bohdan Borowik and published by Springer Science & Business Media. This book was released on 2012-11-08 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves a dual purpose: firstly to combine the treatment of circuits and digital electronics, and secondly, to establish a strong connection with the contemporary world of digital systems. The need for this approach arises from the observation that introducing digital electronics through a course in traditional circuit analysis is fast becoming obsolete. Our world has gone digital. Automata theory helps with the design of digital circuits such as parts of computers, telephone systems and control systems. A complete perspective is emphasized, because even the most elegant computer architecture will not function without adequate supporting circuits. The focus is on explaining the real-world implementation of complete digital systems. In doing so, the reader is prepared to immediately begin design and implementation work. This work serves as a bridge to take readers from the theoretical world to the everyday design world where solutions must be complete to be successful.
Book Synopsis Fundamentals of Switching Theory and Logic Design by : Jaakko Astola
Download or read book Fundamentals of Switching Theory and Logic Design written by Jaakko Astola and published by Springer Science & Business Media. This book was released on 2006-03-07 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Switching Theory and Logic Design discusses the basics of switching theory and logic design from a slightly alternative point of view and also presents links between switching theory and related areas of signal processing and system theory. Switching theory is a branch of applied mathematic providing mathematical foundations for logic design, which can be considered as a part of digital system design concerning realizations of systems whose inputs and outputs are described by logic functions.
Book Synopsis Logic, Automata, and Algorithms by :
Download or read book Logic, Automata, and Algorithms written by and published by Academic Press. This book was released on 1971-07-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Book Synopsis Logic Synthesis and Verification Algorithms by : Gary D. Hachtel
Download or read book Logic Synthesis and Verification Algorithms written by Gary D. Hachtel and published by Springer Science & Business Media. This book was released on 2005-12-17 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Synthesis and Verification Algorithms is a textbook designed for courses on VLSI Logic Synthesis and Verification, Design Automation, CAD and advanced level discrete mathematics. It also serves as a basic reference work in design automation for both professionals and students. Logic Synthesis and Verification Algorithms is about the theoretical underpinnings of VLSI (Very Large Scale Integrated Circuits). It combines and integrates modern developments in logic synthesis and formal verification with the more traditional matter of Switching and Finite Automata Theory. The book also provides background material on Boolean algebra and discrete mathematics. A unique feature of this text is the large collection of solved problems. Throughout the text the algorithms covered are the subject of one or more problems based on the use of available synthesis programs.