Boolean Functions: Topics in Asynchronicity - Hardcover

Vlad, Serban E.

Hardcover

ISBN 10: 1119517478 ISBN 13: 9781119517474

Publisher: Wiley, 2019

Synopsis

The essential guide showing how the unbounded delay model of computation of the Boolean functions may be used in the analysis of the Boolean networks 

Boolean Functions: Topics in Asynchronicity contains the most current research in several issues of asynchronous Boolean systems. In this framework, asynchronicity means that the functions which model the digital circuits from electronics iterate their coordinates independently on each other and the author―a noted expert in the field―includes a formal mathematical description of these systems. 

Filled with helpful definitions and illustrative examples, the book covers a range of topics such as morphisms, antimorphisms, invariant sets, path connected sets, attractors. Further, it studies race freedom, called here the technical condition of proper operation, together with some of its generalized and strengthened versions, and also time reversal, borrowed from physics and also from dynamical systems, together with the symmetry that it generates.

This book:

• Presents up-to-date research in the field of Boolean networks,
• Includes the information needed to understand the construction of an asynchronous Boolean systems theory and contains proofs,
• Employs use of the language of algebraic topology and homological algebra.

Written formathematicians and computer scientists interested in the theory and applications of Boolean functions, dynamical systems, and circuits, Boolean Functions: Topics in Asynchronicity is an authoritative guide indicating a way of using the unbounded delay model of computation of the Boolean functions in the analysis of the Boolean networks. 

About this title

About the Author

SERBAN E. VLAD is an Analyst Programmer at Oradea City Hall, Romania. He is a member of the Romanian and the German societies of industrial and applied mathematics, ROMAI and GAMM. He is the author of many papers and several books and book chapters.

From the Back Cover

THE ESSENTIAL GUIDE SHOWING HOW THE UNBOUNDED DELAY MODEL OF COMPUTATION OF THE BOOLEAN FUNCTIONS MAY BE USED IN THE ANALYSIS OF THE BOOLEAN NETWORKS

Boolean Functions: Topics in Asynchronicity contains the most current research in several issues of asynchronous Boolean systems. In this framework, asynchronicity means that the functions which model the digital circuits from electronics iterate their coordinates independently on each other and the author a noted expert in the field includes a formal mathematical description of these systems.

Filled with helpful definitions and illustrative examples, the book covers a range of topics such as morphisms, antimorphisms, invariant sets, path connected sets, attractors. Further, it studies race freedom, called here the technical condition of proper operation, together with some of its generalized and strengthened versions, and also time reversal, borrowed from physics and also from dynamical systems, together with the symmetry that it generates.

This book:

• Presents up-to-date research in the field of Boolean networks,
• Includes the information needed to understand the construction of an asynchronous Boolean systems theory and contains proofs,
• Employs use of the language of algebraic topology and homological algebra.

Written for mathematicians and computer scientists interested in the theory and applications of Boolean functions, dynamical systems, and circuits, Boolean Functions: Topics in Asynchronicity is an authoritative guide indicating a way of using the unbounded delay model of computation of the Boolean functions in the analysis of the Boolean networks.

From the Inside Flap

THE ESSENTIAL GUIDE SHOWING HOW THE UNBOUNDED DELAY MODEL OF COMPUTATION OF THE BOOLEAN FUNCTIONS MAY BE USED IN THE ANALYSIS OF THE BOOLEAN NETWORKS

Boolean Functions: Topics in Asynchronicity contains the most current research in several issues of asynchronous Boolean systems. In this framework, asynchronicity means that the functions which model the digital circuits from electronics iterate their coordinates independently on each other and the author—a noted expert in the field—includes a formal mathematical description of these systems.

Filled with helpful definitions and illustrative examples, the book covers a range of topics such as morphisms, antimorphisms, invariant sets, path connected sets, attractors. Further, it studies race freedom, called here the technical condition of proper operation, together with some of its generalized and strengthened versions, and also time reversal, borrowed from physics and also from dynamical systems, together with the symmetry that it generates.

This book:

• Presents up-to-date research in the field of Boolean networks,
• Includes the information needed to understand the construction of an asynchronous Boolean systems theory and contains proofs,
• Employs use of the language of algebraic topology and homological algebra.

Written for mathematicians and computer scientists interested in the theory and applications of Boolean functions, dynamical systems, and circuits, Boolean Functions: Topics in Asynchronicity is an authoritative guide indicating a way of using the unbounded delay model of computation of the Boolean functions in the analysis of the Boolean networks.

Edition details

• Publisher: Wiley
• Publication date: 2019
• Language: English
• ISBN 10: 1119517478
• ISBN 13: 9781119517474
• Binding: Hardcover
• Edition number: 1
• Number of pages: 198