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  • ALL (complexity)
  • In computability and complexity theory, ALL is the class of all decision problems. ALL contains all of the complex classes of decision problems, including

    ALL (complexity)

    ALL_(complexity)

  • All
  • Topics referred to by the same term

    League All, Missouri, a community in the US All, a brand of Sun Products Albanian lek by ISO 4217 currency code ALL (complexity), the class of all decision

    All

    All

  • Descriptive complexity theory
  • Branch of mathematical logic

    needed to express the languages in them. For example, PH, the union of all complexity classes in the polynomial hierarchy, is precisely the class of languages

    Descriptive complexity theory

    Descriptive_complexity_theory

  • Computational complexity
  • Amount of resources to perform an algorithm

    In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus

    Computational complexity

    Computational_complexity

  • Cyclomatic complexity
  • Measure of the structural complexity of a software program

    Cyclomatic complexity is a software metric used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent

    Cyclomatic complexity

    Cyclomatic_complexity

  • Kolmogorov complexity
  • Measure of algorithmic complexity

    theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer

    Kolmogorov complexity

    Kolmogorov complexity

    Kolmogorov_complexity

  • Effective complexity
  • Effective complexity is a measure of complexity defined in a 1996 paper by Murray Gell-Mann and Seth Lloyd that attempts to measure the amount of non-random

    Effective complexity

    Effective_complexity

  • Time complexity
  • Estimate of time taken for running an algorithm

    the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly

    Time complexity

    Time complexity

    Time_complexity

  • Complexity
  • Feature of systems that defy description

    Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity

    Complexity

    Complexity

  • Programming complexity
  • Attribute of a software system

    Programming complexity (or software complexity) is a term that includes software properties that affect internal interactions. Several commentators distinguish

    Programming complexity

    Programming_complexity

  • Complexity management
  • the overall strategy of the company, 2) transparency over all costs and benefits of complexity, identifying the optimization benefits, 3) related measures

    Complexity management

    Complexity_management

  • PP (complexity)
  • Class of problems in computer science

    probability of less than 1/2 for all instances. The abbreviation PP refers to probabilistic polynomial time. The complexity class was defined by Gill in 1977

    PP (complexity)

    PP (complexity)

    PP_(complexity)

  • P (complexity)
  • Class of problems solvable in polynomial time

    In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that

    P (complexity)

    P_(complexity)

  • TC (complexity)
  • or equivalently, threshold gates. For each fixed i, the complexity class TCi consists of all languages that can be recognized by a family of threshold

    TC (complexity)

    TC_(complexity)

  • Complexity class
  • Set of problems in computational complexity theory

    In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly

    Complexity class

    Complexity class

    Complexity_class

  • NP (complexity)
  • Complexity class used to classify decision problems

    that verifies whether the guess is a solution to the problem. The complexity class P (all problems solvable, deterministically, in polynomial time) is contained

    NP (complexity)

    NP (complexity)

    NP_(complexity)

  • Computational complexity theory
  • Inherent difficulty of computational problems

    In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource

    Computational complexity theory

    Computational_complexity_theory

  • BPP (complexity)
  • Concept in computer science

    In computational complexity theory, a branch of computer science, bounded-error probabilistic polynomial time (BPP) is the class of decision problems solvable

    BPP (complexity)

    BPP_(complexity)

  • Quantum complexity theory
  • Computational complexity of quantum algorithms

    Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational

    Quantum complexity theory

    Quantum_complexity_theory

  • Algorithmic complexity
  • Topics referred to by the same term

    Algorithmic complexity may refer to: In algorithmic information theory, the complexity of a particular string in terms of all algorithms that generate

    Algorithmic complexity

    Algorithmic_complexity

  • Complete (complexity)
  • Notion of the "hardest" or "most general" problem in a complexity class

    In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or

    Complete (complexity)

    Complete_(complexity)

  • Advice (complexity)
  • Computational input that relies on the length but not content of the input

    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

    Advice (complexity)

    Advice_(complexity)

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

    List of complexity classes

    List of complexity classes

    List_of_complexity_classes

  • R (complexity)
  • Complexity class consisting of all recursive languages

    In computational complexity theory, R is the class of decision problems solvable by a Turing machine, which is the set of all recursive languages (also

    R (complexity)

    R_(complexity)

  • Proof complexity
  • Field in logic and theoretical computer science

    science, and specifically proof theory and computational complexity theory, proof complexity is the field aiming to understand and analyse the computational

    Proof complexity

    Proof_complexity

  • Rademacher complexity
  • Measure of complexity of real-valued functions

    learning theory (machine learning and theory of computation), Rademacher complexity, named after Hans Rademacher, measures richness of a class of sets with

    Rademacher complexity

    Rademacher_complexity

  • NE (complexity)
  • Computational complexity class

    In computational complexity theory, the complexity class NE is the set of decision problems that can be solved by a non-deterministic Turing machine in

    NE (complexity)

    NE_(complexity)

  • Space complexity
  • Computer memory needed by an algorithm

    The space complexity of an algorithm or a data structure is the amount of memory space required to solve an instance of the computational problem as a

    Space complexity

    Space_complexity

  • E (complexity)
  • Computational complexity class

    In computational complexity theory, the complexity class E is the set of decision problems that can be solved by a deterministic Turing machine in time

    E (complexity)

    E_(complexity)

  • ZPP (complexity)
  • Concept in computer science

    In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists

    ZPP (complexity)

    ZPP (complexity)

    ZPP_(complexity)

  • FNP (complexity)
  • Complexity class

    In computational complexity theory, the complexity class FNP is the function problem extension of the decision problem class NP. The name is somewhat

    FNP (complexity)

    FNP_(complexity)

  • Communication complexity
  • Complexity of sending information in a distributed algorithm

    In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem

    Communication complexity

    Communication_complexity

  • Circuit complexity
  • Model of computational complexity

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

    Circuit complexity

    Circuit complexity

    Circuit_complexity

  • Complexity (disambiguation)
  • Topics referred to by the same term

    theory Language complexity, a linguistic hypothesis All pages with titles beginning with Complexity Complex (disambiguation) Complexity theory (disambiguation)

    Complexity (disambiguation)

    Complexity_(disambiguation)

  • NL (complexity)
  • Computational complexity

    in computer science In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems that

    NL (complexity)

    NL_(complexity)

  • Reduction (complexity)
  • Transformation of one computational problem to another

    In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently

    Reduction (complexity)

    Reduction (complexity)

    Reduction_(complexity)

  • Complexity theory
  • Topics referred to by the same term

    Complexity theory may refer to: Computational complexity theory, a field in theoretical computer science and mathematics Assembly theory, to quantify the

    Complexity theory

    Complexity_theory

  • Language complexity
  • Concept in linguistics

    Language complexity is a topic in linguistics which can be divided into several sub-topics such as phonological, morphological, syntactic, and semantic

    Language complexity

    Language_complexity

  • Complexity economics
  • Application of complexity science to economics

    Complexity economics, or economic complexity, is the application of complexity science to the problems of economics. It relaxes several common assumptions

    Complexity economics

    Complexity_economics

  • PSPACE
  • Class of computational complexity

    unsolved problems in computer science In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine

    PSPACE

    PSPACE

    PSPACE

  • P versus NP problem
  • Unsolved problem in computer science

    problem, essentially all known proof techniques in computational complexity theory fall into one of the following classifications, all insufficient to prove

    P versus NP problem

    P_versus_NP_problem

  • Parameterized complexity
  • Branch of computational complexity theory

    In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according

    Parameterized complexity

    Parameterized_complexity

  • Attention Is All You Need
  • 2017 research paper by Google

    large language models Gated recurrent units (2014) further reduced its complexity. Some architectures, such as RWKV (Receptance Weighted Key Value) or state

    Attention Is All You Need

    Attention Is All You Need

    Attention_Is_All_You_Need

  • LH (complexity)
  • In computational complexity, the logarithmic time hierarchy (LH) is the complexity class of all computational problems solvable in a logarithmic amount

    LH (complexity)

    LH_(complexity)

  • Complex system
  • System composed of many interacting components

    and Complexity", exploring the diversity of problem types by contrasting problems of simplicity, disorganized complexity, and organized complexity. Weaver

    Complex system

    Complex_system

  • Boolean circuit
  • Model of computation

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

    Boolean circuit

    Boolean circuit

    Boolean_circuit

  • The Complexity of Songs
  • 1977 scholarly article by Donald Knuth

    "The Complexity of Songs" is a scholarly article by computer scientist Donald Knuth published in 1977 as an in-joke about computational complexity theory

    The Complexity of Songs

    The_Complexity_of_Songs

  • Complexity theory and organizations
  • Application of complexity theory to strategy

    Complexity theory and organizations, also called complexity strategy or complex adaptive organizations, is the use of the study of complexity systems

    Complexity theory and organizations

    Complexity_theory_and_organizations

  • Query (complexity)
  • In descriptive complexity, a query is a mapping from structures of one signature to structures of another vocabulary. Neil Immerman, in his book Descriptive

    Query (complexity)

    Query_(complexity)

  • Computational complexity of mathematical operations
  • Algorithmic runtime requirements for common math procedures

    the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations

    Computational complexity of mathematical operations

    Computational complexity of mathematical operations

    Computational_complexity_of_mathematical_operations

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

    CC (complexity)

    CC_(complexity)

  • Complement (complexity)
  • In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently

    Complement (complexity)

    Complement_(complexity)

  • Certificate (complexity)
  • String that certifies the answer to a computation

    In computational complexity theory, a certificate (also called a witness) is a string that certifies the answer to a computation, or certifies the membership

    Certificate (complexity)

    Certificate_(complexity)

  • Average-case complexity
  • Algorithm characteristic in computations

    over all possible inputs. It is frequently contrasted with worst-case complexity which considers the maximal complexity of the algorithm over all possible

    Average-case complexity

    Average-case_complexity

  • Fagin's theorem
  • Existential second order logic captures NP

    oldest result of descriptive complexity theory, a branch of computational complexity theory that characterizes complexity classes in terms of logic-based

    Fagin's theorem

    Fagin's_theorem

  • PR (complexity)
  • PR is the complexity class of all primitive recursive functions—or, equivalently, the set of all formal languages that can be decided in time bounded by

    PR (complexity)

    PR_(complexity)

  • Structural complexity theory
  • Study of complexity classes

    computational complexity theory of computer science, the structural complexity theory or simply structural complexity is the study of complexity classes, rather

    Structural complexity theory

    Structural complexity theory

    Structural_complexity_theory

  • SL (complexity)
  • In computational complexity theory, SL (Symmetric Logspace or Sym-L) is the complexity class of problems log-space reducible to USTCON (undirected s-t

    SL (complexity)

    SL_(complexity)

  • RE (complexity)
  • Complexity class

    In computability theory and computational complexity theory, RE (recursively enumerable) is the class of decision problems for which a 'yes' answer can

    RE (complexity)

    RE_(complexity)

  • RP (complexity)
  • Randomized polynomial time class of computational complexity theory

    In computational complexity theory, randomized polynomial time (RP) is the complexity class of decision problems for which a probabilistic Turing machine

    RP (complexity)

    RP_(complexity)

  • EXPTIME
  • Algorithmic complexity class

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

    EXPTIME

    EXPTIME

  • Self-complexity
  • Self-complexity is a person's perceived knowledge of themself, based upon the number of distinct cognitive structures, or self-aspects, they believe to

    Self-complexity

    Self-complexity

  • PPP (complexity)
  • Complexity class

    In computational complexity theory, the complexity class PPP (polynomial pigeonhole principle) is a subclass of TFNP. It is the class of search problems

    PPP (complexity)

    PPP_(complexity)

  • Blum axioms
  • Axioms in computational complexity theory

    In computational complexity theory the Blum axioms or Blum complexity axioms are axioms that specify desirable properties of complexity measures on the

    Blum axioms

    Blum_axioms

  • Information-based complexity
  • Information-based complexity (IBC) studies optimal algorithms and computational complexity for the continuous problems that arise in physical science,

    Information-based complexity

    Information-based_complexity

  • PLS (complexity)
  • Complexity class

    In computational complexity theory, Polynomial Local Search (PLS) is a complexity class that models the difficulty of finding a locally optimal solution

    PLS (complexity)

    PLS_(complexity)

  • Irreducible complexity
  • Argument by proponents of intelligent design

    Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were

    Irreducible complexity

    Irreducible_complexity

  • Game complexity
  • Notion in combinatorial game theory

    Combinatorial game theory measures game complexity in several ways: State-space complexity (the number of legal game positions from the initial position)

    Game complexity

    Game_complexity

  • Probabilistic analysis of algorithms
  • computational complexity of an algorithm or a computational problem. It starts from an assumption about a probability distribution on the set of all possible

    Probabilistic analysis of algorithms

    Probabilistic_analysis_of_algorithms

  • Low (complexity)
  • In computational complexity theory, a language B (or a complexity class B) is said to be low for a complexity class A (with some reasonable relativized

    Low (complexity)

    Low_(complexity)

  • Best, worst and average case
  • Measures of how efficiently algorithms use resources

    respectively. Usually the resource being considered is running time, i.e. time complexity, but could also be memory or some other resource. Best case is the function

    Best, worst and average case

    Best,_worst_and_average_case

  • N-dimensional polyhedron
  • kinds of complexity are closely related: If P has facet complexity at most f, then P has vertex complexity at most 4 n2 f. If P has vertex complexity at most

    N-dimensional polyhedron

    N-dimensional_polyhedron

  • Lempel–Ziv complexity
  • Complexity measure in computer science

    The Lempel–Ziv complexity is a measure that was first presented in the article On the Complexity of Finite Sequences (IEEE Trans. On IT-22,1 1976), by

    Lempel–Ziv complexity

    Lempel–Ziv_complexity

  • Sophistication (complexity theory)
  • Measure of complexity regarding algorithmic entropy

    theory, sophistication is a measure of complexity related to algorithmic entropy. When K is the Kolmogorov complexity and c is a constant, the sophistication

    Sophistication (complexity theory)

    Sophistication_(complexity_theory)

  • AC0
  • Complexity class of bounded-depth circuits

    (alternating circuit) is a complexity class used in circuit complexity. It is the smallest class in the AC hierarchy, and consists of all families of circuits

    AC0

    AC0

    AC0

  • Query complexity
  • Index of articles associated with the same name

    Query complexity in computational complexity describes the number of queries needed to solve a computational problem for an input that can be accessed

    Query complexity

    Query_complexity

  • Aanderaa–Karp–Rosenberg conjecture
  • Unsolved problem on graph query complexity

    vertices, but on the empty graph it tests all possible pairs before terminating. Therefore, the query complexity of this algorithm is ( n 2 ) = n ( n − 1

    Aanderaa–Karp–Rosenberg conjecture

    Aanderaa–Karp–Rosenberg_conjecture

  • NC (complexity)
  • Class in computational complexity theory

    }{=}}{\mathsf {P}}} ⁠ More unsolved problems in computer science In computational complexity theory, the class NC (for Nick's class) is the set of decision problems

    NC (complexity)

    NC_(complexity)

  • Cognitive complexity
  • Concept in psychology

    Cognitive complexity describes cognition along a simplicity-complexity axis. It is the subject of academic study in fields including personal construct

    Cognitive complexity

    Cognitive complexity

    Cognitive_complexity

  • QMA
  • Quantum Merlin Arthur

    for Quantum Merlin Arthur, refers to a complexity class in computational complexity theory. It is the set of all formal languages that satisfy the following

    QMA

    QMA

  • PH (disambiguation)
  • Topics referred to by the same term

    described by RFC 2378 PH (complexity), the union of all complexity classes in the polynomial hierarchy in computational complexity theory Phot, or ph, a measurement

    PH (disambiguation)

    PH_(disambiguation)

  • Hamiltonian complexity
  • Hamiltonian complexity or quantum Hamiltonian complexity is a topic which deals with problems in quantum complexity theory and condensed matter physics

    Hamiltonian complexity

    Hamiltonian_complexity

  • Blum's speedup theorem
  • Rules out assigning to arbitrary functions their computational complexity

    computational complexity theory, Blum's speedup theorem, first stated by Manuel Blum in 1967, is a fundamental theorem about the complexity of computable

    Blum's speedup theorem

    Blum's_speedup_theorem

  • Randomized algorithm
  • Algorithm that employs a degree of randomness as part of its logic or procedure

    known[as of?] if all algorithms can be derandomized without significantly increasing their running time. For instance, in computational complexity, it is unknown

    Randomized algorithm

    Randomized_algorithm

  • Sample complexity
  • Attribute of machine learning models

    sample complexity: The weak variant fixes a particular input-output distribution; The strong variant takes the worst-case sample complexity over all input-output

    Sample complexity

    Sample_complexity

  • S2P (complexity)
  • In computational complexity theory, SP 2 is a complexity class, intermediate between the first and second levels of the polynomial hierarchy. A language

    S2P (complexity)

    S2P_(complexity)

  • NP-hardness
  • Complexity class

    NP-hard problem would give polynomial time algorithms for all the problems in the complexity class NP. As it is suspected, but unproven, that P≠NP, it

    NP-hardness

    NP-hardness

    NP-hardness

  • PL (complexity)
  • is estimating stationary distribution for an ergodic Markov chain. The complexity class is not known to equal PL, and an attempt to simulate PL through

    PL (complexity)

    PL_(complexity)

  • Compression theorem
  • theorem states that there exists no largest complexity class, with computable boundary, which contains all computable functions. Given a Gödel numbering

    Compression theorem

    Compression_theorem

  • Nelson complexity index
  • Conversion calculation in petroluem refinery

    The Nelson complexity index (NCI) is a measure to compare the secondary conversion capacity of a petroleum refinery with the primary distillation capacity

    Nelson complexity index

    Nelson complexity index

    Nelson_complexity_index

  • Complexity index
  • In modern computer science and statistics, the complexity index of a function denotes the level of informational content, which in turn affects the difficulty

    Complexity index

    Complexity_index

  • Analysis of algorithms
  • Study of resources used by an algorithm

    the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to

    Analysis of algorithms

    Analysis of algorithms

    Analysis_of_algorithms

  • Co-NP
  • Complexity class

    computational complexity theory, co-NP is a complexity class. A decision problem X is a member of co-NP if and only if its complement X is in the complexity class

    Co-NP

    Co-NP

  • No Silver Bullet
  • 1986 paper on software project management

    different types of complexity: accidental complexity and essential complexity. This is related to Aristotle's classification. Accidental complexity relates to

    No Silver Bullet

    No_Silver_Bullet

  • ♯P
  • Complexity class

    In computational complexity theory, the complexity class #P (pronounced "sharp P" or, sometimes "number P" or "hash P") is the set of the counting problems

    ♯P

    ♯P

  • Computational complexity of matrix multiplication
  • Algorithmic runtime requirements for matrix multiplication

    in computer science In theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix

    Computational complexity of matrix multiplication

    Computational_complexity_of_matrix_multiplication

  • Generic-case complexity
  • Generic-case complexity is a subfield of computational complexity theory that studies the complexity of computational problems on "most inputs". Generic-case

    Generic-case complexity

    Generic-case_complexity

  • ...And Justice for All (album)
  • 1988 studio album by Metallica

    Association of America in 2003. ...And Justice for All was acclaimed for its depth and complexity, although its dry mix and nearly inaudible bass guitar

    ...And Justice for All (album)

    ...And_Justice_for_All_(album)

  • Algorithmic complexity attack
  • An algorithmic complexity attack (ACA) is a form of attack in which an attacker sends a pattern of requests to a computer system that triggers the worst-case

    Algorithmic complexity attack

    Algorithmic_complexity_attack

  • In-place algorithm
  • Type of computer science algorithm

    In computational complexity theory, the strict definition of in-place algorithms includes all algorithms with O(1) space complexity, the class DSPACE(1)

    In-place algorithm

    In-place_algorithm

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