Discrete Mathematics and Theoretical Computer Science

Lattice Functions and Equations

Authors: Rudeanu, Sergiu

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eBook $189.00
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About this book

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.
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.

Table of contents (14 chapters)

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-1-4471-0241-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $239.00
price for USA
  • ISBN 978-1-85233-266-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lattice Functions and Equations
Authors
Series Title
Discrete Mathematics and Theoretical Computer Science
Copyright
2001
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0241-0
DOI
10.1007/978-1-4471-0241-0
Softcover ISBN
978-1-85233-266-2
Edition Number
1
Number of Pages
XI, 435
Number of Illustrations and Tables
1 b/w illustrations
Topics