Example Boolean circuit. The nodes are AND gates, the nodes are OR gates, and the nodes are NOT gates
In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language can be decided by a family of Boolean circuits, one circuit for each possible input length.
Boolean circuits are defined in terms of the logic gates they contain. For example, a circuit might contain binary AND and OR gates and unary NOT gates, or be entirely described by binary NAND gates. Each gate corresponds to some Boolean function that takes a fixed number of bits as input and outputs a single bit.
Boolean circuits provide a model for many digital components used in computer engineering, including multiplexers, adders, and arithmetic logic units, but they exclude sequential logic. They are an abstraction that omits many aspects relevant to designing real digital logic circuits, such as metastability, fanout, glitches, power consumption, and propagation delay variability.
computational complexity theory and circuit complexity, a Booleancircuit is a mathematical model for combinational digital logic circuits. A formal language can be...
digital logical circuits. Boolean expression, an expression in a programming language that produces a Boolean value when evaluated Boolean function, a function...
In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...
algebra as the two-element Boolean algebra. In modern circuit engineering settings, there is little need to consider other Boolean algebras, thus "switching...
operators, and Boolean-valued functions. Boolean expressions correspond to propositional formulas in logic and are a special case of Booleancircuits. Most programming...
the circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit...
function Boolean formulas can also be displayed as a graph: Propositional directed acyclic graph Digital circuit diagram of logic gates, a Booleancircuit And-inverter...
party. In the garbled circuit protocol, the function has to be described as a Booleancircuit. The history of garbled circuits is complicated. The invention...
computation (e.g. probabilistic Turing machines, interactive proof systems, Booleancircuits, and quantum computers). The study of the relationships between complexity...
The Circuit Value Problem (or Circuit Evaluation Problem) is the computational problem of computing the output of a given Booleancircuit on a given input...
of the algorithms and mathematics that can be described with Boolean logic. Logic circuits include such devices as multiplexers, registers, arithmetic...
metallic structures on an integrated circuit. In terms of Boolean algebra, the optimization of a complex Boolean expression is a process of finding a...
time-independent logic) is a type of digital logic that is implemented by Booleancircuits, where the output is a pure function of the present input only. This...
In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY...
paths Booleancircuit, a mathematical model for digital logic circuits Integer circuit, a mathematical object of computational complexity Circuit complexity...
function is notable for its role in theoretical investigation of circuit complexity of Boolean functions. The output of the parity function is the parity bit...
n-ary Gray code, also known as a non-Boolean Gray code. As the name implies, this type of Gray code uses non-Boolean values in its encodings. For example...
gate, the OR gate is one of three basic logic gates from which any Booleancircuit may be constructed. All other logic gates may be made from these three...
executed by each computer. Models such as Booleancircuits and sorting networks are used. A Booleancircuit can be seen as a computer network: each gate...
hierarchy can be described as the class of booleancircuits over NP predicates. A collapse of the boolean hierarchy would imply a collapse of the polynomial...
Boolean differential calculus (BDC) (German: Boolescher Differentialkalkül (BDK)) is a subject field of Boolean algebra discussing changes of Boolean...
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