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Lattice Functions and Equations
Paperback
Series: Discrete Mathematics and Theoretical Computer Science
FictionGeneral ComputersGeneral Mathematics
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ISBN10: 1852332662
ISBN13: 9781852332662
Publisher: Springer Nature
Published: Jul 30 2001
Pages: 435
Weight: 1.38
Height: 0.91 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9781852332662
Publisher: Springer Nature
Published: Jul 30 2001
Pages: 435
Weight: 1.38
Height: 0.91 Width: 6.14 Depth: 9.21
Language: English
Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions.
This self-contained monograph surveys recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices; a special attention is paid to consistency conditions and reproductive general solutions.
This self-contained monograph surveys recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices; a special attention is paid to consistency conditions and reproductive general solutions.
The contents include:
- equational compactness in semilattices and Boolean algebras;
- the theory of Post functions and equations (which is very close to that of Boolean functions and equations);
- a revision of Boolean fundamentals;
- closure operators on Boolean functions;
- the decomposition of Boolean functions;
- quadratic truth equations;
- Boolean differential calculus;
- Boolean geometry and other topics.
There is also a chapter on equations in a very general sense. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others.
- equational compactness in semilattices and Boolean algebras;
- the theory of Post functions and equations (which is very close to that of Boolean functions and equations);
- a revision of Boolean fundamentals;
- closure operators on Boolean functions;
- the decomposition of Boolean functions;
- quadratic truth equations;
- Boolean differential calculus;
- Boolean geometry and other topics.
There is also a chapter on equations in a very general sense. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others.
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