Download or read book Discrete Mathematics written by R. C. Penner and published by World Scientific. This book was released on 1999 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.

Download or read book Algebraic Theory of Automata written by Abraham Ginzburg and published by Academic Press. This book was released on 2014-06-25 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Theory of Automata provides information pertinent to the methods and results of algebraic theory of automata. This book covers a variety of topics, including sets, semigroup, groupoids, isomorphism, semiautomata, proof of Kleene's theorem, and algebraic manipulations. Organized into seven chapters, this book begins with an overview of the fundamental properties of groups and semigroups. This text then examines the notion of semiautomaton, which serves as a basis for a rich and interesting theory. Other chapters consider algebraic notions and methods that are very useful in dealing with semiautomata. This book discusses as well some properties of the notion of covering of semiautomata. The final chapter deals with the theory of Krohn and Rhodes. This book is a valuable resource for graduate students.

Download or read book Algebraic and Structural Automata Theory written by B. Mikolajczak and published by Elsevier. This book was released on 1991-01-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development.The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups.Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.

Download or read book Encyclopedic Dictionary of Mathematics written by Nihon Sūgakkai and published by MIT Press. This book was released on 1993 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A.N. v.2. O.Z. Apendices and indexes.

Download or read book Theory of Machines and Computations written by Zvi Kohavi and published by Elsevier. This book was released on 2014-05-10 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Machines and Computations consists of papers presented at the International Symposium on the Theory of Machines and Computations, held at Technion-Israel Institute of Technology in Haifa, Israel, in August 1971. This book is organized into five main sections—computability theory, formal and stochastic languages, finite automata, fault-detection experiments, and switching theory. In these sections, this compilation specifically discusses the computationally complex and pseudo-random zero-one valued functions and rate of convergence of local iterative schemes. The simple syntactic operators on full semiAFLs, whirl decomposition of stochastic systems, and existence of a periodic analogue of a finite automaton are also elaborated. This text likewise covers the theorems on additive automata, fault location in iterative logic arrays, and tree-threshold-synthesis of ternary functions. This publication is useful to practitioners and specialists interested in the theory of machines and computations.

Download or read book Algebraic Theory of Automata Networks written by Pal Domosi and published by SIAM. This book was released on 2005-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories.

Download or read book Selected Papers on Algebra and Topology by Garrett Birkhoff written by J.S. Oliveira and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.

Download or read book Sequential Logic Synthesis written by Pranav Ashar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 2 Input Encoding Targeting Two-Level Logic . . . . . . . . 27 3. 2. 1 One-Hot Coding and Multiple-Valued Minimization 28 3. 2. 2 Input Constraints and Face Embedding 30 3. 3 Satisfying Encoding Constraints . . . . . . . 32 3. 3. 1 Definitions . . . . . . . . . . . . . . . 32 3. 3. 2 Column-Based Constraint Satisfaction 33 3. 3. 3 Row-Based Constraint Satisfaction . . 37 3. 3. 4 Constraint Satisfaction Using Dichotomies . 38 3. 3. 5 Simulated Annealing for Constraint Satisfaction 41 3. 4 Input Encoding Targeting Multilevel Logic. . 43 3. 4. 1 Kernels and Kernel Intersections . . . 44 3. 4. 2 Kernels and Multiple-Valued Variables 46 3. 4. 3 Multiple-Valued Factorization. . . . . 48 3. 4. 4 Size Estimation in Algebraic Decomposition . 53 3. 4. 5 The Encoding Step . 54 3. 5 Conclusion . . . . . . . . . 55 4 Encoding of Symbolic Outputs 57 4. 1 Heuristic Output Encoding Targeting Two-Level Logic. 59 4. 1. 1 Dominance Relations. . . . . . . . . . . . . . . . 59 4. 1. 2 Output Encoding by the Derivation of Dominance Relations . . . . . . . . . . . . . . . . . . . . . 60 . . 4. 1. 3 Heuristics to Minimize the Number of Encoding Bits . . . . . . . . . . . . 64 4. 1. 4 Disjunctive Relationships . . . . . . . . . . . 65 4. 1. 5 Summary . . . . . . . . . . . . . . . . . . 66 . . 4. 2 Exact Output Encoding Targeting Two-Level Logic. 66 4. 2. 1 Generation of Generalized Prime Implicants . 68 4. 2. 2 Selecting a Minimum Encodeable Cover . . . 68 4. 2. 3 Dominance and Disjunctive Relationships to S- isfy Constraints . . . . . . . . . . . 70 4. 2. 4 Constructing the Optimized Cover 73 4. 2. 5 Correctness of the Procedure . . 73 4. 2. 6 Multiple Symbolic Outputs . . .

Download or read book Switching and Finite Automata Theory written by Zvi Kohavi and published by Cambridge University Press. This book was released on 2009-10-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the structure, behaviour, 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.

Download or read book Synthesis of Finite State Machines written by Tiziano Villa 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: Synthesis of Finite State Machines: Logic Optimization is the second in a set of two monographs devoted to the synthesis of Finite State Machines (FSMs). The first volume, Synthesis of Finite State Machines: Functional Optimization, addresses functional optimization, whereas this one addresses logic optimization. The result of functional optimization is a symbolic description of an FSM which represents a sequential function chosen from a collection of permissible candidates. Logic optimization is the body of techniques for converting a symbolic description of an FSM into a hardware implementation. The mapping of a given symbolic representation into a two-valued logic implementation is called state encoding (or state assignment) and it impacts heavily area, speed, testability and power consumption of the realized circuit. The first part of the book introduces the relevant background, presents results previously scattered in the literature on the computational complexity of encoding problems, and surveys in depth old and new approaches to encoding in logic synthesis. The second part of the book presents two main results about symbolic minimization; a new procedure to find minimal two-level symbolic covers, under face, dominance and disjunctive constraints, and a unified frame to check encodability of encoding constraints and find codes of minimum length that satisfy them. The third part of the book introduces generalized prime implicants (GPIs), which are the counterpart, in symbolic minimization of two-level logic, to prime implicants in two-valued two-level minimization. GPIs enable the design of an exact procedure for two-level symbolic minimization, based on a covering step which is complicated by the need to guarantee encodability of the final cover. A new efficient algorithm to verify encodability of a selected cover is presented. If a cover is not encodable, it is shown how to augment it minimally until an encodable superset of GPIs is determined. To handle encodability the authors have extended the frame to satisfy encoding constraints presented in the second part. The covering problems generated in the minimization of GPIs tend to be very large. Recently large covering problems have been attacked successfully by representing the covering table with binary decision diagrams (BDD). In the fourth part of the book the authors introduce such techniques and extend them to the case of the implicit minimization of GPIs, where the encodability and augmentation steps are also performed implicitly. Synthesis of Finite State Machines: Logic Optimization will be of interest to researchers and professional engineers who work in the area of computer-aided design of integrated circuits.

Download or read book Theory of Modeling and Simulation written by Bernard P. Zeigler and published by Academic Press. This book was released on 2000-01-10 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increased computational power and software tools available to engineers have increased the use and dependence on modeling and computer simulation throughout the design process. These tools have given engineers the capability of designing highly complex systems and computer architectures that were previously unthinkable. Every complex design project, from integrated circuits, to aerospace vehicles, to industrial manufacturing processes requires these new methods. This book fulfills the essential need of system and control engineers at all levels in understanding modeling and simulation. This book, written as a true text/reference has become a standard sr./graduate level course in all EE departments worldwide and all professionals in this area are required to update their skills. The book provides a rigorous mathematical foundation for modeling and computer simulation. It provides a comprehensive framework for modeling and simulation integrating the various simulation approaches. It covers model formulation, simulation model execution, and the model building process with its key activities model abstraction and model simplification, as well as the organization of model libraries. Emphasis of the book is in particular in integrating discrete event and continuous modeling approaches as well as a new approach for discrete event simulation of continuous processes. The book also discusses simulation execution on parallel and distributed machines and concepts for simulation model realization based on the High Level Architecture (HLA) standard of the Department of Defense. Presents a working foundation necessary for compliance with High Level Architecture (HLA) standards Provides a comprehensive framework for continuous and discrete event modeling and simulation Explores the mathematical foundation of simulation modeling Discusses system morphisms for model abstraction and simplification Presents a new approach to discrete event simulation of continuous processes Includes parallel and distributed simulation of discrete event models Presents a concept to achieve simulator interoperability in the form of the DEVS-Bus

Download or read book Computer Aided Systems Theory EUROCAST 89 written by Franz Pichler and published by Springer Science & Business Media. This book was released on 1990-02-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ('dromions'); ii) criteria and tests of integrability (e.g., Painlevé test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.

Download or read book Computing and Combinatorics written by Oscar H. Ibarra and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th Annual International Computing and Combinatorics Conference, COCOON 2002, held in Singapore in August 2002. The 60 revised full papers presented together with three invited contributions were carefully reviewed and selected from 106 submissions. The papers are organized in topical sections on complexity theory, discrete algorithms, computational biology and learning theory, radio networks, automata and formal languages, Internet networks, computational geometry, combinatorial optimization, and quantum computing.

Download or read book Testability Concepts for Digital ICs written by F.P.M. Beenker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface Testing Integrated Circuits for manufacturing defects includes four basic disciplines. First of all an understanding of the origin and behaviour of defects. Secondly, knowledge of IC design and IC design styles. Thirdly, knowledge of how to create a test program for an IC which is targeted on detecting these defects, and finally, understanding of the hardware, Automatic Test Equipment, to run the test on. All four items have to be treated, managed, and to a great extent integrated before the term 'IC quality' gets a certain meaning and a test a certain measurable value. The contents of this book reflects our activities on testability concepts for complex digital ICs as performed at Philips Research Laboratories in Eindhoven, The Netherlands. Based on the statements above, we have worked along a long term plan, which was based on four pillars. 1. The definition of a test methodology suitable for 'future' IC design styles, 2. capable of handling improved defect models, 3. supported by software tools, and 4. providing an easy link to Automatic Test Equipment. The reasoning we have followed was continuously focused on IC qUality. Quality expressed in terms of the ability of delivering a customer a device with no residual manufacturing defects. Bad devices should not escape a test. The basis of IC quality is a thorough understanding of defects and defect models.

Download or read book Advanced Computer Systems written by Jerzy Soldek and published by Springer Science & Business Media. This book was released on 2012-11-05 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Computer Systems is a collection of forty selected papers presented to the Eighth International Conference on Computer Systems, October 2001 in Mielno, Poland. These papers provide a comprehensive summary of practice and research progress in information technologies: Recognition, Security and Safety concentrates on the widely-known problems of information systems security. Methods of Artificial Intelligence presents methods and algorithms which are the basics for the applications of artificial intelligence environments. Intelligent Agents and Distributed Activities includes laboratory research on multiagent intelligent systems as well as upon their applications in searching information, negotiating and supporting decision. Distributed Productions Networks and Modeling Complex Systems present production processes in distributed shared virtual environment, virtual solution of integer optimization problems, and a queuing approach to performance optimization in the distributed production network.

Download or read book Modeling Embedded Systems and SoC s written by Axel Jantsch and published by Morgan Kaufmann. This book was released on 2004 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: System level design is a critical component for the methods to develop designs more productively. But there are a number of challenges in implementing system level modeling. This book addresses that need by developing organizing principles for understanding, assessing, and comparing the different models of computation in system level modeling.

Download or read book Computer Aided Verification written by Edmund M. Clarke and published by Springer Science & Business Media. This book was released on 1991-10-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the second workshop on Computer Aided Verification, held at DIMACS, Rutgers University, June 18-21, 1990. Itfeatures theoretical results that lead to new or more powerful verification methods. Among these are advances in the use of binary decision diagrams, dense time, reductions based upon partial order representations and proof-checking in controller verification. The motivation for holding a workshop on computer aided verification was to bring together work on effective algorithms or methodologies for formal verification - as distinguished, say,from attributes of logics or formal languages. The considerable interest generated by the first workshop, held in Grenoble, June 1989 (see LNCS 407), prompted this second meeting. The general focus of this volume is on the problem of making formal verification feasible for various models of computation. Specific emphasis is on models associated with distributed programs, protocols, and digital circuits. The general test of algorithm feasibility is to embed it into a verification tool, and exercise that tool on realistic examples: the workshop included sessionsfor the demonstration of new verification tools.