• Thumbnail for Circuit complexity
    In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...
    21 KB (2,571 words) - 00:57, 18 May 2025
  • Thumbnail for Complexity class
    interactive proof systems, Boolean circuits, and quantum computers). The study of the relationships between complexity classes is a major area of research...
    75 KB (10,382 words) - 17:19, 13 June 2025
  • Thumbnail for Boolean circuit
    computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language...
    10 KB (1,365 words) - 07:43, 21 July 2025
  • circuits that can compute them. Arithmetic circuit complexity Boolean circuit Circuit complexity Circuits over sets of natural numbers The complexity...
    5 KB (857 words) - 17:48, 15 April 2025
  • done extensive research on circuits with polylogarithmic depth and polynomial size. As in the case of circuit complexity theory, usually the class has...
    22 KB (3,087 words) - 10:24, 18 July 2025
  • communication (used in communication complexity), the number of gates in a circuit (used in circuit complexity) and the number of processors (used in...
    50 KB (6,704 words) - 04:30, 7 July 2025
  • computational complexity theory, arithmetic circuits are the standard model for computing polynomials. Informally, an arithmetic circuit takes as inputs...
    13 KB (2,179 words) - 16:09, 14 July 2025
  • {\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...
    9 KB (1,554 words) - 19:13, 2 November 2024
  • science, and specifically computational complexity theory and circuit complexity, TC (Threshold Circuit) is a complexity class of decision problems that can...
    3 KB (384 words) - 20:46, 19 March 2025
  • Thumbnail for Clique problem
    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...
    84 KB (9,905 words) - 16:01, 10 July 2025
  • Data compression Advice (complexity) Amortized analysis Arthur–Merlin protocol Best and worst cases Busy beaver Circuit complexity Constructible function...
    5 KB (466 words) - 16:43, 14 March 2025
  • computational complexity theory, CC (Comparator Circuits) is the complexity class containing decision problems which can be solved by comparator circuits of polynomial...
    6 KB (830 words) - 09:06, 9 January 2025
  • In circuit complexity, AC is a complexity class hierarchy. Each class, ACi, consists of the languages recognized by Boolean circuits with depth O ( log...
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  • commonly estimated. Other asymptotically estimated behavior include circuit complexity and various measures of parallel computation, such as the number of...
    3 KB (309 words) - 10:37, 21 June 2025
  • } has circuit complexity 2Ω(n) then P = BPP. RP ZPP BQP List of complexity classes Valentine Kabanets, CMPT 710 - Complexity Theory: Lecture...
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  • Boolean circuit, a mathematical model for digital logic circuits Integer circuit, a mathematical object of computational complexity Circuit complexity, a branch...
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  • Thumbnail for List of complexity classes
    of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics...
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  • 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...
    19 KB (3,205 words) - 19:42, 30 June 2025
  • two-party communication complexity), and its general form with more than two parties, is relevant in many contexts. In VLSI circuit design, for example,...
    45 KB (6,873 words) - 07:26, 21 July 2025
  • System Number One Electronic Switching System Boolean circuit C-element Circuit complexity Circuit minimization Karnaugh map Logic design Logic gate Logic...
    18 KB (1,614 words) - 23:43, 15 March 2025
  • In computational complexity theory, an advice string is an extra input to a Turing machine that is allowed to depend on the length n of the input, but...
    5 KB (586 words) - 05:39, 4 August 2023
  • in computer science In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems that...
    11 KB (1,570 words) - 04:06, 12 May 2025
  • Natural proof (category Computational complexity theory)
    Gödel Prize. Specifically, natural proofs prove lower bounds on the circuit complexity of boolean functions. A natural proof shows, either directly or indirectly...
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  • 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...
    63 KB (7,797 words) - 13:07, 19 July 2025
  •  133–134, ISBN 9780139153808. Vollmer, Heribert (1999), Introduction to Circuit Complexity: A Uniform Approach, Texts in Theoretical Computer Science. An EATCS...
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  • Thumbnail for Integrated circuit
    An integrated circuit (IC), also known as a microchip or simply chip, is a set of electronic circuits, consisting of various electronic components (such...
    82 KB (8,755 words) - 09:16, 14 July 2025
  • Thumbnail for Switched-mode power supply
    result in a usually much greater component count and corresponding circuit complexity. Switching regulators are used as replacements for linear regulators...
    61 KB (5,415 words) - 01:27, 25 July 2025
  • EXPTIME (redirect from EXP (complexity))
    In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that are solvable...
    9 KB (1,220 words) - 13:09, 24 June 2025
  • Thumbnail for Digital electronics
    circuits use more energy than analog circuits to accomplish the same tasks, thus producing more heat which increases the complexity of the circuits such...
    50 KB (6,245 words) - 19:30, 25 July 2025
  • Switching lemma (category Circuit complexity)
    computational complexity theory, Håstad's switching lemma is a key tool for proving lower bounds on the size of constant-depth Boolean circuits. It was first...
    7 KB (885 words) - 07:40, 21 July 2025