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商品詳細
Lattice Functions and Equations. Softcover reprint of the original 1st ed. 2001.
・ISBN 978-1-85233-266-2 paper EUR 99.99
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お気に入り
★★★
| 著者・編者 | Rudeanu, Sergiu, |
|---|---|
| シリーズ | Discrete Mathematics and Theoretical Computer Science |
| 出版社 | (Springer London Ltd, UK) |
| 出版年月 | 2001 |
| ページ数 | 435 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17126＞ |
解説
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.
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.