The Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly. Its applications are based on Boolean spaces and n, Boolean operations, and basic structures such as Boolean Algebras and Boolean Rings, Boolean functions, Boolean equations, Boolean inequalities, incompletely specified Boolean functions, and Boolean lattices of Boolean functions. These basics, sometimes also called switching theory, are widely used in many modern information processing applications. The BDC extends the known concepts and...

The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Boolean Algebra significantly. Based on a small number of definitions, many theorems have been proven. The available operations have been efficiently implemented in several software packages. There is a very wide field of applications. While a Boolean Algebra is focused on values of logic functions, the BDC allows the evaluation of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. Due to the same basic data structures, the BDC...

The greatly expanded and updated 3rd edition of this textbook offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science and engineering. The authors' approach emphasizes a thorough understanding of the fundamental principles as well as numerical and computer-based solution methods. The book provides insight into applications across propositional logic, binary arithmetic, coding, cryptography, complexity, logic design, and artificial intelligence. Updated throughout, some major additions for the 3rd...

This book gathers together the results of research on the Boolean domain related to important real-life applications that will support the reader in solving their scientific and practical tasks. It highlights that ongoing digitalization leads to increasing amounts of complex applications, the digits of which are usually encoded by Boolean variables due to their simplicity as only two values are used. However, as shown here, an exponentially growing number of vectors of Boolean variables can negate this simplicity, which leads to challenges in advancing progress in the Boolean domain and...

This book gathers together the results of research on the Boolean domain related to important real-life applications that will support the reader in solving their scientific and practical tasks. It highlights that ongoing digitalization leads to increasing amounts of complex applications, the digits of which are usually encoded by Boolean variables due to their simplicity as only two values are used. However, as shown here, an exponentially growing number of vectors of Boolean variables can negate this simplicity, which leads to challenges in advancing progress in the Boolean domain and...