Progress in Applications of Boolean Functions (Synthesis Lectures on Digital Circuits and Systems) - Softcover

Tsutomu Sasao (author) & Jon Butler (author)

Softcover

ISBN 10: 160845181X ISBN 13: 9781608451814

Publisher: Morgan and Claypool Publishers, 2010

Synopsis

This book brings together five topics on the application of Boolean functions. They are:

• 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit.
• 2. Boolean functions for cryptography: The process of encrypting/decrypting plaintext messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks.
• 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards.
• 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing.
• 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education.

Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions.

Edition details

• Publisher: Morgan and Claypool Publishers
• Publication date: 2010
• Language: English
• ISBN 10: 160845181X
• ISBN 13: 9781608451814
• Binding: Paperback
• Number of pages: 153