Asynchronous Operators Of Sequential Logic

This book is dedicated to new mathematical instruments assigned for logical modeling of the memory of digital devices. The case in point is logic-dynamical operation named venjunction and venjunctive function as well as sequention and sequentional function. Venjunction and sequention operate within the framework of sequential logic. In a form of the corresponding equations, they organically fit analytical expressions of Boolean algebra. Thus, a sort of symbiosis is formed using elements of asynchronous sequential logic on the one hand and combinational logic on the other hand. So, asynchronous logic is represented in the form of enhanced Boolean logic. The book contains initial concepts, fundamental definitions, statements, principles and rules needed for theoretical justification of the mathematical apparatus and its validity for asynchronous logic. Asynchronous operators named venjunctor and sequentor are designed for practical implementation. These basic elements are assigned for realizing of memory functions in sequential circuits. Present research work is the final stage of generalization and systematization of all those ideas and investigations, author’s interest to which alternately flashed up and faded over many years and for various reasons until formed “critical mass”, and all findings were arranged definitively as a mathematical basis of a theory appropriately associated under a common theme – asynchronous sequential logic, essentially classified as switching logic, which falls into category of algebraic logics.

Covering new mathematical instruments to analyze sequential circuits, this book includes basic concepts, fundamental definitions, statements, principles, and the rules needed to justify the mathematical apparatus and its validity for asynchronous logic.

Until now, there was no single resource for actual digital system design. Using both basic and advanced concepts, Sequential Logic: Analysis and Synthesis offers a thorough exposition of the analysis and synthesis of both synchronous and asynchronous sequential machines. With 25 years of experience in designing computing equipment, the author stresses the practical design of state machines. He clearly delineates each step of the structured and rigorous design principles that can be applied to practical applications. The book begins by reviewing the analysis of combinatorial logic and Boolean algebra, and goes on to define sequential machines and discuss traditional and alternative methods for synthesizing synchronous sequential machines. The final chapters deal with asynchronous sequential machines and pulse-mode asynchronous sequential machines. Because this volume is technology-independent, these techniques can be used in a variety of fields, such as electrical and computer engineering as well as nanotechnology. By presenting each method in detail, expounding on several corresponding examples, and providing over 500 useful figures, Sequential Logic is an excellent tutorial on analysis and synthesis procedures.

Asynchronous Sequential Machine Design and Analysis provides a lucid, in-depth treatment of asynchronous state machine design and analysis presented in two parts: Part I on the background fundamentals related to asynchronous sequential logic circuits generally, and Part II on self-timed systems, high-performance asynchronous programmable sequencers, and arbiters. Part I provides a detailed review of the background fundamentals for the design and analysis of asynchronous finite state machines (FSMs). Included are the basic models, use of fully documented state diagrams, and the design and characteristics of basic memory cells and Muller C-elements. Simple FSMs using C-elements illustrate the design process. The detection and elimination of timing defects in asynchronous FSMs are covered in detail. This is followed by the array algebraic approach to the design of single-transition-time machines and use of CAD software for that purpose, one-hot asynchronous FSMs, and pulse mode FSMs. Part I concludes with the analysis procedures for asynchronous state machines. Part II is concerned mainly with self-timed systems, programmable sequencers, and arbiters. It begins with a detailed treatment of externally asynchronous/internally clocked (or pausable) systems that are delay-insensitive and metastability-hardened. This is followed by defect-free cascadable asynchronous sequencers, and defect-free one-hot asynchronous programmable sequencers--their characteristics, design, and applications. Part II concludes with arbiter modules of various types, those with and without metastability protection, together with applications. Presented in the appendices are brief reviews covering mixed-logic gate symbology, Boolean algebra, and entered-variable K-map minimization. End-of-chapter problems and a glossary of terms, expressions, and abbreviations contribute to the reader's learning experience. Five productivity tools are made available specifically for use with this text and briefly discussed in the Preface. Table of Contents: I: Background Fundamentals for Design and Analysis of Asynchronous State Machines / Introduction and Background / Simple FSM Design and Initialization / Detection and Elimination of Timing Defects in Asynchronous FSMs / Design of Single Transition Time Machines / Design of One-Hot Asynchronous FSMs / Design of Pulse Mode FSMs / Analysis of Asynchronous FSMs / II: Self-Timed Systems/ Programmable Sequencers, and Arbiters / Externally Asynchronous/Internally Clocked Systems / Cascadable Asynchronous Programmable Sequencers (CAPS) and Time-Shared System Design / Asynchronous One-Hot Programmable Sequencer Systems / Arbiter Modules

This book presents fundamental theoretical results for designing object-oriented programming languages for controlling swarms. It studies the logics of swarm behaviours. According to behaviourism, all behaviours can be controlled or even managed by stimuli in the environment: attractants (motivational reinforcement) and repellents (motivational punishment). At the same time, there are two main stages in reactions to stimuli: sensing (perceiving signals) and motoring (appropriate direct reactions to signals). This book examines the strict limits of behaviourism from the point of view of symbolic logic and algebraic mathematics: how far can animal behaviours be controlled by the topology of stimuli? On the one hand, we can try to design reversible logic gates in which the number of inputs is the same as the number of outputs. In this case, the behaviouristic stimuli are inputs in swarm computing and appropriate reactions at the motoring stage are its outputs. On the other hand, the problem is that even at the sensing stage each unicellular organism can be regarded as a logic gate in which the number of outputs (means of perceiving signals) greatly exceeds the number of inputs (signals).

Sequential Logic and Verilog HDL Fundamentals discusses the analysis and synthesis of synchronous and asynchronous sequential machines. These machines are implemented using Verilog Hardware Description Language (HDL), in accordance with the Institute of Electrical and Electronics Engineers (IEEE) Standard: 1364-1995. The book concentrates on sequential logic design with a focus on the design of various Verilog HDL projects. Emphasis is placed on structured and rigorous design principles that can be applied to practical applications. Each step of the analysis and synthesis procedures is clearly delineated. Each method that is presented is expounded in sufficient detail with accompanying examples. Many analysis and synthesis examples use mixed-logic symbols incorporating both positive- and negative-input logic gates for NAND (not AND) and NOR (not OR) logic, while other examples utilize only positive-input logic gates. The use of mixed logic parallels the use of these symbols in the industry. The book is intended to be a tutorial, and as such, is comprehensive and self-contained. All designs are carried through to completion—nothing is left unfinished or partially designed. Each chapter contains numerous problems of varying complexity to be designed by the reader using Verilog HDL design techniques. The Verilog HDL designs include the design module, the test bench module that tests the design for correct functionality, the outputs obtained from the test bench, and the waveforms obtained from the test bench. Sequential Logic and Verilog HDL Fundamentals presents Verilog HDL with numerous design examples to help the reader thoroughly understand this popular hardware description language. The book is designed for practicing electrical engineers, computer engineers, and computer scientists; for graduate students in electrical engineering, computer engineering, and computer science; and for senior-level undergraduate students.

The Verilog language provides a means to model a digital system at many levels of abstraction from a logic gate to a complex digital system to a mainframe computer. The purpose of this book is to present the Verilog language together with a wide variety of examples, so that the reader can gain a firm foundation in the design of the digital system using Verilog HDL. The Verilog projects include the design module, the test bench module, and the outputs obtained from the simulator that illustrate the complete functional operation of the design. Where applicable, a detailed review of the theory of the topic is presented together with the logic design principles—including: state diagrams, Karnaugh maps, equations, and the logic diagram. Numerous examples and homework problems are included throughout. The examples include logical operations, counters of different moduli, half adders, full adders, a carry lookahead adder, array multipliers, different types of Moore and Mealy machines, and arithmetic logic units (ALUs).

This book constitutes the strictly refereed post-proceedings of the 5th International Workshop on Computational Logic for Multi-Agent Systems, CLIMA V, held in Lisbon, Portugal, in September 2004 as a joint event in federation with the Ninth European Conference on Logics in Artificial Intelligence (JELIA’04) to promote the CLIMA research topics in the broader community of logics in AI. The 16 revised full papers presented were carefully selected from 35 submissions and are devoted to techniques from computational logic for representing, programming, and reasoning about multi-agent systems. The papers are organized in topical sections on foundations, architectures, interaction, and planning and applications.