Boolean Functions
eBook - ePub

Boolean Functions

Topics in Asynchronicity

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Boolean Functions

Topics in Asynchronicity

About this book

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.

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Yes, you can access Boolean Functions by Serban E. Vlad in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2019
Print ISBN
9781119517474
eBook ISBN
9781119517511

Table of contents

  1. Cover
  2. Table of Contents
  3. Preface
  4. 1 Boolean Functions
  5. 2 Affine Spaces Defined by Two Points
  6. 3 Morphisms
  7. 4 Antimorphisms
  8. 5 Invariant Sets
  9. 6 Invariant Subsets
  10. 7 Path Connected Set
  11. 8 Attractors
  12. 9 The Technical Condition of Proper Operation
  13. 10 The Strong Technical Condition of Proper Operation
  14. 11 The Generalized Technical Condition of Proper Operation
  15. 12 The Strong Generalized Technical Condition of Proper Operation
  16. 13 Time‐Reversal Symmetry
  17. 14 Time‐Reversal Symmetry vs tcpo
  18. 15 Time‐Reversal Symmetry vs the Generalized tcpo
  19. Appendix A: The Category As
  20. Appendix B: Notations
  21. Bibliography
  22. Index
  23. End User License Agreement