# Asynchronous Operators of Sequential Logic: Venjunction & Sequention

## Digital Circuit Analysis and Design

Book

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 101)

1. Front Matter
Pages 1-24
Pages 25-41
Pages 43-75
Pages 77-123

### Introduction

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.

### Keywords

Asynchronous Logic Asynchronous Sequences Binary Set Digital Circuit Analysis Digital Circuit Design Sequential Circuits Sequention Switching Function Venjunction

#### Authors and affiliations

1. 1.RigaLatvia

### Bibliographic information

• Book Title Asynchronous Operators of Sequential Logic: Venjunction & Sequention
• Book Subtitle Digital Circuit Analysis and Design
• Authors Vadim Vasyukevich
• Series Title Lecture Notes in Electrical Engineering
• DOI https://doi.org/10.1007/978-3-642-21611-4
• Copyright Information Springer Berlin Heidelberg 2011
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-3-642-21610-7
• Softcover ISBN 978-3-642-26882-3
• eBook ISBN 978-3-642-21611-4
• Series ISSN 1876-1100
• Series E-ISSN 1876-1119
• Edition Number 1
• Number of Pages XIV, 126
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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## Reviews

From the reviews:

“This is a research monograph devoted to the design of asynchronous sequential logic circuits. … The book consists of four chapters. Bibliographical references are given at the end of each chapter. … The appendices contain lists of venjunctive functions, lists of functions for trigger descriptions and examples of asynchronous sequential functions descriptions. … The material of this book may be recommended as a basis for a facultative lecture for academic courses in digital design.” (Antoni Michalski, Zentralblatt MATH, Vol. 1244, 2012)