Sasao, Tsutomu.

Progress in Applications of Boolean Functions [electronic resource] / by Tsutomu Sasao, Jon Butler. - 1st ed. 2010. - XIV, 139 p. online resource. - Synthesis Lectures on Digital Circuits & Systems, 1932-3174 . - Synthesis Lectures on Digital Circuits & Systems, .

Equivalence Classes of Boolean Functions -- Boolean Functions for Cryptography -- Boolean Differential Calculus -- Synthesis of Boolean Functions in Reversible Logic -- Data Mining Using Binary Decision Diagrams.

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 arenecessary 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. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams.

9783031798122

10.1007/978-3-031-79812-2 doi


Engineering.
Electronic circuits.
Control engineering.
Robotics.
Automation.
Computers.
Technology and Engineering.
Electronic Circuits and Systems.
Control, Robotics, Automation.
Computer Hardware.

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