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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
Topics referred to by the same term
Complexity theory may refer to: Computational complexity theory, a field in theoretical computer science and mathematics Complex systems theory, the study
Complexity_theory
Classification of computer problems
Geometric complexity theory (GCT), is a research program in computational complexity theory proposed by Ketan Mulmuley and Milind Sohoni. The goal of
Geometric_complexity_theory
Feature of systems that defy description
various scales is the main goal of complex systems theory. The intuitive criterion of complexity can be formulated as follows: a system would be more
Complexity
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
Measure of algorithmic complexity
In algorithmic information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is
Kolmogorov_complexity
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
Branch of mathematical logic
Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic
Descriptive_complexity_theory
Amount of resources to perform an algorithm
the study of the complexity of problems is called computational complexity theory. Both areas are highly related, as the complexity of an algorithm is
Computational_complexity
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
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
Subfield of computer science and mathematics
computational complexity, parallel and distributed computation, probabilistic computation, quantum computation, automata theory, information theory, cryptography
Theoretical_computer_science
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
Conceptual framework
usage of the term complexity specifically refers to sociologic theories of society as a complex adaptive system, however, social complexity and its emergent
Social_complexity
System composed of many interacting components
(2003). "Theories of complexity". Complexity. 8 (3): 19–30. Bibcode:2003Cmplx...8c..19C. doi:10.1002/cplx.10059. Walter Clemens, Jr., Complexity Science
Complex_system
Complexity class used to classify decision problems
problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems
NP_(complexity)
American computer scientist (born 1981)
Texas at Austin. His primary areas of research are computational complexity theory and quantum computing. Aaronson grew up in the United States, though
Scott_Aaronson
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
Discipline for achieving objectives against unpredictability, complexity, and ambiguity
strategy based on a "theory of the business" or natural extension of the mindset or ideological perspective of the organization. Complexity theorists define
Strategy
Class of problems in computer science
In complexity theory, PP, or PPT is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability
PP_(complexity)
Algorithm that employs a degree of randomness as part of its logic or procedure
algorithm repeatedly till a correct answer is obtained. Computational complexity theory models randomized algorithms as probabilistic Turing machines. Both
Randomized_algorithm
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
Academic subfield of computer science
three major branches: automata theory and formal languages, computability theory, and computational complexity theory, which are linked by the question:
Theory_of_computation
Field in logic and theoretical computer science
theoretical computer science, and specifically proof theory and computational complexity theory, proof complexity is the field aiming to understand and analyse
Proof_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
computational complexity theory of computer science, the structural complexity theory or simply structural complexity is the study of complexity classes, rather
Structural_complexity_theory
Computer memory needed by an algorithm
complexity theory – Inherent difficulty of computational problems Computational resource – Aspect of computational complexity theory Time complexity –
Space_complexity
Interactive proof system in computational complexity theory
In computational complexity theory, an Arthur–Merlin protocol, introduced by Babai (1985), is an interactive proof system in which the verifier's coin
Arthur–Merlin_protocol
1977 scholarly article by Donald Knuth
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
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
American-Canadian computer scientist, contributor to complexity theory
who has made significant contributions to the fields of complexity theory and proof complexity. He is a university professor emeritus at the University
Stephen_Cook
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 can
P_(complexity)
theory was recommended by Kees de Bot to refer to both complexity theory and dynamic systems theory. Numerous labels such as chaos theory, complexity
Complex dynamic systems theory
Complex_dynamic_systems_theory
Computational complexity
in computer science In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems that
NL_(complexity)
Complexity of sending information in a distributed algorithm
of communication. Note that, unlike in computational complexity theory, communication complexity is not concerned with the amount of computation performed
Communication_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
BPP_(complexity)
Computation model defining an abstract machine
yielded many insights into computer science, computability theory, and complexity theory. In his 1948 essay, "Intelligent Machinery", Turing wrote that
Turing_machine
Study of abstract machines and automata
of arbitrary complexity. Structure theory deals with the "loop-free" realizability of machines. The theory of computational complexity also took shape
Automata_theory
System whose behavior is not automatically predictable from its parts
of hard complexity theories include complex adaptive systems (CAS) and viability theory, and a class of softer theory is Viable System Theory. Many of
Complex_adaptive_system
(computational complexity theory, structural complexity theory) Cook's theorem (computational complexity theory) Fagin's theorem (computational complexity theory) Full
List_of_theorems
American author and filmmaker (1942–2008)
groups for failing to incorporate complexity theory. In this speech he described in detail why he believed complexity theory is essential to environmental
Michael_Crichton
Thesis on the nature of computability
(Church–Turing thesis (complexity theory)). These variations are not due to Church or Turing, but arise from later work in complexity theory and digital physics
Church–Turing_thesis
Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which
Implicit computational complexity
Implicit_computational_complexity
Concept in psychology
psychology, organisational theory and human–computer interaction. First proposed by James Bieri in 1955 with Cognitive complexity-simplicity and predictive
Cognitive_complexity
Venezuelan computer scientist
recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking". Blum was
Manuel_Blum
Concept in the philosophy of mathematics
are based on complexity theory, like Samuel Buss's bounded arithmetic theories, which capture mathematics associated with various complexity classes like
Ultrafinitism
Field of mathematics and science based on non-linear systems and initial conditions
Chaos Theory and Some Assumptions About the Future of the European Union". Chaos, complexity and leadership 2018 explorations of chaotic and complexity theory
Chaos_theory
Quantified formulas with real-number variables
In mathematical logic, computational complexity theory, and computer science, the existential theory of the reals is the set of all true sentences of
Existential theory of the reals
Existential_theory_of_the_reals
Measure of complexity regarding algorithmic entropy
algorithmic information theory, sophistication is a measure of complexity related to algorithmic entropy. When K is the Kolmogorov complexity and c is a constant
Sophistication (complexity theory)
Sophistication_(complexity_theory)
Unproven computational hardness assumption
In computational complexity theory, the exponential time hypothesis or ETH is an unproven computational hardness assumption that was formulated by Impagliazzo
Exponential_time_hypothesis
Sequence of words formed by specific rules
languages). In computational complexity theory, decision problems are typically defined as formal languages, and complexity classes are defined as the sets
Formal_language
Unsolved problem in computer science
The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation dealing with
P_versus_NP_problem
Proof checkable by a randomized algorithm
In computational complexity theory, a probabilistically checkable proof (PCP) is a type of proof that can be checked by a randomized algorithm using a
Probabilistically checkable proof
Probabilistically_checkable_proof
Computer hardware technology that uses quantum mechanics
Vazirani, Umesh (1993). "Quantum complexity theory". Proceedings of the twenty-fifth annual ACM symposium on Theory of computing – STOC '93. San Diego
Quantum_computing
American annual computer science prize
June 3, 2015. Homer, Steven and Alan L. (2001). Computability and Complexity Theory. Springer. p. 35. ISBN 978-0-387-95055-6. Archived from the original
Turing_Award
Subfield of information theory and computer science
complexity follows (in the self-delimited case) the same inequalities (except for a constant) that entropy does, as in classical information theory;
Algorithmic information theory
Algorithmic_information_theory
Complexity class (logarithmic space)
In computational complexity theory, L (also known as LSPACE, LOGSPACE or DLOGSPACE) is the complexity class containing decision problems that can be solved
L_(complexity)
to self-complexity theory, an individual who has a number of self-aspects that are unique in their attributes will have greater self-complexity than one
Self-complexity
American computer scientist (born 1969)
American theoretical computer scientist working in computational complexity theory and algorithms. Williams graduated from the Alabama School of Mathematics
Ryan Williams (computer scientist)
Ryan_Williams_(computer_scientist)
Study of computation
of computation. The second question is addressed by computational complexity theory, which studies the time and space costs associated with different
Computer_science
American computer scientist
University of California, San Diego, specializing in computational complexity theory. Impagliazzo received a BA in mathematics from Wesleyan University
Russell_Impagliazzo
British sociologist (born 1953)
sociologist and social scientist known for her work in social and complexity theory, gender regimes and patriarchy, violence and society - including domestic
Sylvia_Walby
Interdisciplinary study of systems
theory List of types of systems theory Autonomous agency theory Bibliography of sociology Cellular automata Chaos theory Complexity Dependency theory
Systems_theory
Szkola, Arleta (2010). "Effective Complexity and Its Relation to Logical Depth". IEEE Transactions on Information Theory. 56 (9): 4593–4607. arXiv:0810.5663
Effective_complexity
American economist
California for many years. He is an authority on economics in relation to complexity theory, technology and financial markets. He has been on the external faculty
W._Brian_Arthur
Type of computational problem
In computational complexity theory and computability theory, a counting problem is a type of computational problem that is obtained by strengthening a
Counting_problem_(complexity)
Mathematical models of strategic interactions
Hex. A related field of study, drawing from computational complexity theory, is game complexity, which is concerned with estimating the computational difficulty
Game_theory
Academic discipline and profession
understanding the reasons behind their challenges, difficulties, and choices. Complexity theory focuses on unpredictable, emergent patterns in these vast, dynamic
Social_work
Concept of art that can be described by a computer program
"Low-Complexity Art". Leonardo. 30 (2): 97–103. doi:10.2307/1576418. JSTOR 1576418. S2CID 18741604. Schmidhuber, Jürgen (2012). "A Formal Theory of Creativity
Low-complexity_art
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
Professor of computer science
science, especially computational complexity theory, and in recent years has been working on "geometric complexity theory", an approach to the P versus NP
Ketan_Mulmuley
Theorem in computational complexity theory
computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity class
PCP_theorem
Measure in information theory
{\displaystyle x} and halt. Effective complexity Self-dissimilarity Forecasting complexity Sophistication (complexity theory) Antunes, Luís; Bauwens, Bruno;
Logical_depth
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)
Ordered listing of items in collection
enumeration has also been studied from the point of view of computational complexity theory for various tasks in the context of enumeration algorithms. Ordinal
Enumeration
Measurement of computational complexity
computational complexity theory, asymptotic computational complexity is the use of asymptotic analysis for the estimation of the computational complexity of algorithms
Asymptotic computational complexity
Asymptotic_computational_complexity
Class in computational complexity theory
{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)
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)
Theoretical computer scientist
scientist and mathematician known for her research in computational complexity theory and algorithms. She is currently the Steven and Renee Finn Career
Virginia_Vassilevska_Williams
American computer scientist
for his work in computational complexity theory, computability theory, computational learning theory, and Ramsey theory. He is currently a professor at
William_Gasarch
Hamiltonian complexity or quantum Hamiltonian complexity is a topic which deals with problems in quantum complexity theory and condensed matter physics
Hamiltonian_complexity
Creationist argument by William Dembski
complexity is widely regarded as mathematically unsound and has not been the basis for further independent work in information theory, in the theory of
Specified_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)
Unsolved problem in computational complexity theory
problem (retrieved June 28, 2017) "Mathematician claims breakthrough in complexity theory". Science. November 10, 2015. Babai (2015) Video of first 2015 lecture
Graph_isomorphism_problem
Boolean satisfiability is NP-complete and therefore that NP-complete problems exist
In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete
Cook–Levin_theorem
Branch of logic
need a theory of finite structures." Thus the main application areas of finite model theory are: descriptive complexity theory, database theory and formal
Finite_model_theory
Theories relating to firms' roles in the economy
The theory of the firm consists of a number of economic theories that explain and predict the nature of a firm: e.g. a business, company, corporation,
Theory_of_the_firm
This is a list of computability and complexity topics, by Wikipedia page. Computability theory is the part of the theory of computation that deals with what
List of computability and complexity topics
List_of_computability_and_complexity_topics
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)
Supposition or system of ideas intended to explain something
theory — Combinatorial game theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory —
Theory
Israeli computer scientist and mathematician
States of America. His research interests include complexity theory, parallel algorithms, graph theory, cryptography, and distributed computing. Wigderson
Avi_Wigderson
Complexity class
In computational complexity theory, a computational problem H is called NP-hard if, for every problem L which can be solved in non-deterministic polynomial-time
NP-hardness
Mathematical function
that infinitesimal functions are a superset of negligible functions. In complexity-based modern cryptography, a security scheme is provably secure if the
Negligible_function
Algorithmic runtime requirements for matrix multiplication
Computational Complexity. TR11-067. Raz, Ran (2002). "On the complexity of matrix product". Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Computational complexity of matrix multiplication
Computational_complexity_of_matrix_multiplication
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
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)
Abstract machine used to study decision problems
In complexity theory and computability theory, an oracle machine is an abstract machine that can query a black box called an oracle, which is able to give
Oracle_machine
Basic concept of graph theory
minimum values of κ(u, v) and λ(u, v), respectively. In computational complexity theory, SL is the class of problems log-space reducible to the problem of
Connectivity_(graph_theory)
British sociologist (1946–2016)
of complexity theory for the social sciences. Publications here include Global Complexity (2003), and "Complexity", a special double issue of Theory, Culture
John_Urry_(sociologist)
Overview of and topical guide to algorithms
computational complexity theory Juris Hartmanis — computational complexity theory Richard E. Stearns — computational complexity theory Avi Wigderson —
Outline_of_algorithms
COMPLEXITY THEORY
COMPLEXITY THEORY
Boy/Male
African, Hindu, Indian, Swahili
Building; Strength; One with Reddish Complexion
Boy/Male
Indian, Nigerian, Sanskrit
Young Ruler; Black Complexion
Girl/Female
Tamil
A woman having a white complexion
Boy/Male
Hindu, Indian, Kannada, Telugu
One who has a Moon Like Complexion
Boy/Male
Hindu, Indian
One with Pale White Complexion
Girl/Female
Hindu
A woman having a white complexion
Girl/Female
Arabic, Muslim
Fair Complexion; Wife of the Prophet PBUH
Boy/Male
Hindu, Indian, Traditional
Krishna with a Golden Complexion
Girl/Female
Hindu, Indian
Girl with a Golden Complexion
Girl/Female
Muslim
Form, Figure, Complexion
Boy/Male
Hindu, Indian
One Having a Soft Complexion
Boy/Male
Muslim
Of reddish hair, Complexion (1)
Boy/Male
Australian, British, English, Irish, Welsh
Fair; White; Friend; Complexion; Handsome
Boy/Male
American, Australian, British, Chinese, Christian, English, Scottish, Swedish
A Ruddy Complexion; Red Haired; Surname
Girl/Female
Arabic, Australian, Indian, Muslim
Form; Figure; Complexion
Girl/Female
Bengali, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
One of Complexion of Red Lotus
Boy/Male
Muslim
Of reddish hair or complexion.
Girl/Female
Arabic, Muslim
Of Reddish Complexion
Boy/Male
Australian, Irish
Small with Dark Hair or Complexion
Girl/Female
Tamil
One of complexion of red lotus
COMPLEXITY THEORY
COMPLEXITY THEORY
Girl/Female
Tamil
Simbala | ஸிமà¯à®ªà®¾à®²à®¾
Pond
Girl/Female
Indian, Punjabi, Sikh
Light of Religious
Girl/Female
Teutonic
Commanding battle maiden.
Boy/Male
Tamil
Full of strength
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Telugu
God of Love
Girl/Female
Indian, Punjabi, Sikh
A Young Gazelle
Boy/Male
Italian
God has shown favor.' See also Jovan.
Boy/Male
Australian, British, English
A Driver; Wheel Maker
Boy/Male
Anglo, British, English
Place Name; Brook of the Deer; From the Deer Brook
Surname or Lastname
English and Scottish
English and Scottish : metonymic occupational name for a hatter or nickname for someone noted for the hat or hats that he wore. Some early forms such as Thomas del Hat (Oxfordshire 1279) and Richard atte Hatte (Worcestershire 1327) indicate that the word was also used of a hill or clump of trees; so in these cases the surname must have been topographic in origin.South German : from a short Germanic personal name, Hatto (derived from compound names with the first element hadu ‘battle’, ‘strife’).Frisian : from a personal name, a short form of any of the various compound names formed with Hade- as the first element, for example Hadebert.
COMPLEXITY THEORY
COMPLEXITY THEORY
COMPLEXITY THEORY
COMPLEXITY THEORY
COMPLEXITY THEORY
n.
That which is complex; intricacy; complication.
n.
One who has a sickly, pale complexion.
n.
Complexion; aspect; appearance.
n.
A liquid cosmetic for the complexion.
a.
Of or pertaining to constitutional complexion.
n.
The bodily constitution; the temperament; habitude, or natural disposition; character; nature.
n.
Redness; complexion.
adv.
In a complex manner; not simply.
n.
The state of being complex; complexity.
a.
Having a sickly complexion; pale.
n.
The color or hue of the skin, esp. of the face.
n.
Complexity.
pl.
of Complexity
pl.
of Complicity
n.
The state of being an accomplice; participation in guilt.
n.
Complexion; color; hue; likeness; form.
n.
The state of being complex; intricacy; entanglement.
n.
A combination; a complex.
n.
The general appearance or aspect; as, the complexion of the sky; the complexion of the news.
n.
The state of being complex; complexity.