| 書目名稱 | Lattice Functions and Equations | | 編輯 | Sergiu Rudeanu | | 視頻video | http://file.papertrans.cn/582/581933/581933.mp4 | | 叢書名稱 | Discrete Mathematics and Theoretical Computer Science | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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 |
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