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Modular Control of Boolean Network Models. [PDF]
Murrugarra D +5 more
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Iterative design of a NAND hybrid riboswitch by deep batch Bayesian optimization. [PDF]
Kelvin D +4 more
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Graph Functions of Boolean Functions
IEEE Transactions on Computers, 1984We introduce and characterize those Boolean functions (graph functions) which can be regarded as characteristic functions of graphs of other Boolean functions. An algorithm for detecting these functions is also presented. Finally, we discuss the complexity of computing a Boolean function which can be regarded as a graph function.
Reischer, Corina, Simovici, Dan A.
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IEEE Transactions on Electronic Computers, 1964
This paper describes a group theoretic approach to count the number of equivalence classes of invertible Boolean functions under the group operation of complementation, permutation, combinations of complementation and permutation, and linear and affine transformations.
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This paper describes a group theoretic approach to count the number of equivalence classes of invertible Boolean functions under the group operation of complementation, permutation, combinations of complementation and permutation, and linear and affine transformations.
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Russian Mathematical Surveys, 2003
Summary: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published.
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Summary: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published.
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SUPER-BOOLEAN FUNCTIONS AND FREE BOOLEAN QUASILATTICES
Discrete Mathematics, Algorithms and Applications, 2014A Boolean quasilattice is an algebra with hyperidentities of the variety of Boolean algebras. In this paper, we give a functional representation of the free n-generated Boolean quasilattice with two binary, one unary and two nullary operations. Namely, we define the concept of super-Boolean function and prove that the free Boolean quasilattice with two
Movsisyan, Yu. M., Aslanyan, V. A.
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Boolean Functions Without Boolean Operators
1989The motivation for working without Boolean operators can mostly be found in the field of Boolean stochastics which will be treated in §§8 and 9. In the present chapter stochastic aspects will be precluded. Even today practical workers in many fields who apply Boolean functions are easily frustrated by the very idea of working without Boolean operators.
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Boolean Functions as Models for Quantified Boolean Formulas
Journal of Automated Reasoning, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kleine Büning, Hans +2 more
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Almost Boolean functions: the design of Boolean functions by spectral inversion
The 2003 Congress on Evolutionary Computation, 2003. CEC '03., 2004The design of Boolean functions with properties of cryptographic significance is a hard task. In this paper, we adopt an unorthodox approach to the design of such functions. Our search space is the set of functions that possess the required properties. It is “Boolean‐ness” that is evolved.
John A. Clark +3 more
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Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87, 1987
Robotics ...
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Robotics ...
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