One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. 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. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.
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First Sentence:
There are many kinds of equations studied in mathematics, so that at first glance it seems dificult, if not impossible, to say something non-trivial about equations in general, with no specification at all. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
reproductive solution, injectivity domains, generalized minterms, bijectivity domain, chromatic decomposition, interpolating system, equational compactness, algebraic induction, monotone components, recurrent inequalities, consistency condition for equation, decomposition closures, primal algebras, truth equations, disjunctive components, bounded distributive lattice, prime implicants, pure equation, linear generator, substitution property, maximal independent sets, finite equations, logical equations, linear base, differential algebra Key Phrases - Capitalized Phrases (CAPs): (learn more)
Verification Theorem, Corollary of Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
There are many kinds of equations studied in mathematics, so that at first glance it seems dificult, if not impossible, to say something non-trivial about equations in general, with no specification at all. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
reproductive solution, injectivity domains, generalized minterms, bijectivity domain, chromatic decomposition, interpolating system, equational compactness, algebraic induction, monotone components, recurrent inequalities, consistency condition for equation, decomposition closures, primal algebras, truth equations, disjunctive components, bounded distributive lattice, prime implicants, pure equation, linear generator, substitution property, maximal independent sets, finite equations, logical equations, linear base, differential algebra Key Phrases - Capitalized Phrases (CAPs): (learn more)
Verification Theorem, Corollary of Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 9
books:
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books
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- Exploring Randomness (Discrete Mathematics and Theoretical Computer Science) by Gregory J. Chaitin in Back Matter
- Logic Synthesis and Optimization (The Springer International Series in Engineering and Computer Science) by Tsutomu Sasao in Back Matter
- Network Algebra (Discrete Mathematics and Theoretical Computer Science) by Gheorghe Stefanescu in Back Matter
- Conference Record by Ieee Instrumentation and Measurement Soc in Back Matter
- Unconventional Models of Computation (Discrete Mathematics and Theoretical Computer Science) by Christian Calude in Back Matter
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