书目名称 | Lattice Functions and Equations |
编辑 | Sergiu Rudeanu |
视频video | http://file.papertrans.cn/582/581933/581933.mp4 |
丛书名称 | Discrete Mathematics and Theoretical Computer Science |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2001 |
关键词 | Algebra; Boolean Algebras; Boolean algebra; Boolean function; Lattice Equations; Lattice Functions; automa |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4471-0241-0 |
isbn_softcover | 978-1-85233-266-2 |
isbn_ebook | 978-1-4471-0241-0 |
copyright | Springer-Verlag London 2001 |