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Automatica, ISSN 0005-1098, 01/2020, Volume 111, p. 108621
From the new perspective of logical matrix equations, observability of Boolean networks (BNs) is investigated in this paper. First, it is shown that one BN is... 
Boolean network | Matrix equation | Observability | Semi-tensor product of matrices | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, ISSN 0027-8424, 03/2019, Volume 116, Issue 10, pp. 4123 - 4128
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2018, Volume 64, Issue 2, pp. 1347 - 1360
Journal Article
Journal of Computer and System Sciences, ISSN 0022-0000, 2010, Volume 76, Issue 3, pp. 251 - 266
Equations with formal languages as unknowns using all Boolean operations and concatenation are studied. Their main properties, such as solution existence and... 
Boolean operations | Language equations | Computability | GRAMMARS | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | COMPUTER SCIENCE, THEORY & METHODS | Mathematical models | Boolean algebra | Recursive | Mathematical analysis | Uniqueness
Journal Article
Publications de l'Institut Mathematique, ISSN 0350-1302, 2015, Volume 98, Issue 112, pp. 85 - 89
Journal Article
Random Structures & Algorithms, ISSN 1042-9832, 03/2018, Volume 52, Issue 2, pp. 197 - 218
We study a random system of cn linear equations over n variables in GF(2), where each equation contains exactly r variables; this is equivalent to r‐XORSAT.... 
random XORSAT | phase transition | solution geometry | clustering threshold | critical window | BOOLEAN-FORMULAS | MATHEMATICS, APPLIED | ALGORITHM | SAT | GRAPHS | SATISFIABILITY | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS | VARIABLES | Clusters | Constraint modelling | Statistical analysis | Linear equations | Clustering
Journal Article
1974, ISBN 9780444105202, xix, 442
Book
Random Structures & Algorithms, ISSN 1042-9832, 03/2015, Volume 46, Issue 2, pp. 197 - 231
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2012, Volume 416, pp. 71 - 86
Consider a system of language equations of the form X i = φ i ( X 1 , … , X n ) ( 1 ⩽ i ⩽ n ) , where every φ i may contain the operations of concatenation and... 
Language equations | Complementation | Negation | Boolean grammars | Context-free grammars | CONJUNCTIVE GRAMMARS | SETS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Mathematical analysis | Mathematical models | Hierarchies
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 2007, Volume 181, Issue 3, pp. 1148 - 1165
Journal Article
Information Sciences, ISSN 0020-0255, 10/2014, Volume 281, pp. 53 - 65
In a recent seminal paper, Rudeanu derived necessary and sufficient conditions for the most general form of the subsumptive general solution of a Boolean... 
Boolean equation | Subsumptive general solution | Rudeanu | Don’t care | Eliminant | Complete sum | Don't care | MINIMIZATION | ENTERED KARNAUGH MAPS | COMPUTER SCIENCE, INFORMATION SYSTEMS | SYSTEMS | PRIME IMPLICANTS | Trees | Frames | Algebra | Mathematical analysis | Generators | Mathematical models | Boolean algebra | Representations
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2015, Volume 61, Issue 4, pp. 2200 - 2209
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2011, Volume 21, Issue 12, pp. 3511 - 3548
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2005, Volume 343, Issue 3, pp. 332 - 369
Journal Article
Information Sciences, ISSN 0020-0255, 2010, Volume 180, Issue 12, pp. 2487 - 2497
We present a study, in a fuzzy logic framework, of the fuzzy implication operations involved in the iterative Boolean-like law I ( x , I ( x , y ) ) = I ( x ,... 
T-norms | Strong negations | Iterative Boolean-like laws | T-conorms | D-implications | D-operations | COMPUTER SCIENCE, INFORMATION SYSTEMS | QL-IMPLICATIONS | Bulging | Fuzzy logic | Fuzzy set theory | Law | Fuzzy | Mathematical analysis
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 5/2013, Volume 53, Issue 5, pp. 632 - 639
Systems of Boolean equations are considered. The order of maximal consistent subsystems is estimated in the general and “typical” (in a probability sense)... 
Computational Mathematics and Numerical Analysis | Mathematics | Boolean system | generalized solution | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Studies | Theorems | Computational mathematics | Mathematical models | Physics | Boolean algebra | Computation | Mathematical analysis
Journal Article
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