In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...

computational complexity theory, arithmetic circuits are the standard model for computing polynomials. Informally, an arithmetic circuit takes as inputs...

computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language...

interactive proof systems, Boolean circuits, and quantum computers). The study of the relationships between complexity classes is a major area of research...

circuits that can compute them. Arithmetic circuit complexity Boolean circuit Circuit complexity Circuits over sets of natural numbers The complexity...

depth of the circuit. If the circuit has logarithmic depth, the branching program has polynomial length. Cook, S.A. (1981). "Towards a complexity theory of...

communication (used in communication complexity), the number of gates in a circuit (used in circuit complexity) and the number of processors (used in...

{\displaystyle \mathbf {C} _{n}} is equivalent (up to a global phase factor) to a circuit generated using Hadamard, Phase, and CNOT gates, so the Clifford group...

clique problem has led it to be used to prove several lower bounds in circuit complexity. The existence of a clique of a given size is a monotone graph property...

of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics...

} has circuit complexity 2Ω(n) then P = BPP. RP ZPP BQP List of complexity classes Valentine Kabanets, CMPT 710 - Complexity Theory: Lecture...

science, and specifically computational complexity theory and circuit complexity, TC (Threshold Circuit) is a complexity class of decision problems that can...

In circuit complexity, AC is a complexity class hierarchy. Each class, ACi, consists of the languages recognized by Boolean circuits with depth O ( log...

Szelepcsényi in 1987; they received the 1995 Gödel Prize for this work. In circuit complexity, NL can be placed within the NC hierarchy. In Papadimitriou 1994,...

commonly estimated. Other asymptotically estimated behavior include circuit complexity and various measures of parallel computation, such as the number of...

Boolean circuit, a mathematical model for digital logic circuits Integer circuit, a mathematical object of computational complexity Circuit complexity, a branch...

System Number One Electronic Switching System Boolean circuit C-element Circuit complexity Circuit minimization Karnaugh map Logic design Logic gate Logic...

two-party communication complexity), and its general form with more than two parties, is relevant in many contexts. In VLSI circuit design, for example,...

computational complexity theory, CC (Comparator Circuits) is the complexity class containing decision problems which can be solved by comparator circuits of polynomial...

Computational complexity Circuit complexity Communication complexity Mathematical logic Proof theory Complexity classes NP (complexity) coNP Cook, Stephen;...

of Choi states for gen-extreme channels, which can be used to find the circuit and also Kraus operators directly. The Choi state C {\displaystyle C} for...

Gödel Prize. Specifically, natural proofs prove lower bounds on the circuit complexity of boolean functions. A natural proof shows, either directly or indirectly...

could be automated. The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation...

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic...

In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that are solvable...

computer science, and specifically computational complexity theory and circuit complexity, TC0 (Threshold Circuit) is the first class in the hierarchy of TC...

 133–134, ISBN 9780139153808. Vollmer, Heribert (1999), Introduction to Circuit Complexity: A Uniform Approach, Texts in Theoretical Computer Science. An EATCS...

Data compression Advice (complexity) Amortized analysis Arthur–Merlin protocol Best and worst cases Busy beaver Circuit complexity Constructible function...

An integrated circuit (IC), also known as a microchip or simply chip, is a set of electronic circuits, consisting of various electronic components (such...

In computational complexity theory and cryptography, averaging argument is a standard argument for proving theorems. It usually allows us to convert probabilistic...