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Find link is a tool written by Edward Betts.Longer titles found: List of complexity classes (view)
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alternate case: complexity class
Parameterized complexity
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f is an arbitrary function depending only on k. The corresponding complexity class is called FPT. For example, there is an algorithm that solves the vertexCounting problem (complexity) (169 words) [view diff] exact match in snippet view article
Boaz (Spring 2006). "Complexity of counting" (PDF). Princeton University. "counting problem". PlanetMath. "counting complexity class". PlanetMath. v t eUnknotting problem (1,318 words) [view diff] exact match in snippet view article find links to article
polynomial time algorithm; that is, whether the problem lies in the complexity class P. First steps toward determining the computational complexity wereAlexei Kitaev (509 words) [view diff] exact match in snippet view article find links to article
Institute for Theoretical Physics. He is also known for introducing the complexity class QMA and showing the 2-local Hamiltonian problem is QMA-complete, theStephen Cook (1,510 words) [view diff] exact match in snippet view article find links to article
He named the complexity class NC after Nick Pippenger. The complexity class SC is named after him. The definition of the complexity class AC0 and its hierarchyRandom oracle (1,775 words) [view diff] exact match in snippet view article find links to article
context of complexity theory, in which they were used to argue that complexity class separations may face relativization barriers, with the most prominentLow and high hierarchies (172 words) [view diff] exact match in snippet view article find links to article
to describe the internal structure of the complexity class NP. The low hierarchy starts from complexity class P and grows "upwards", while the high hierarchyKarp–Lipton theorem (2,269 words) [view diff] exact match in snippet view article find links to article
time problems, can be contained in the non-uniform polynomial time complexity class P/poly, then this assumption implies the collapse of the polynomialGeometric complexity theory (457 words) [view diff] exact match in snippet view article find links to article
science – whether P = NP – by showing that the complexity class P is not equal to the complexity class NP. The idea behind the approach is to adopt andPostselection (255 words) [view diff] exact match in snippet view article find links to article
order for the postselection to be well-defined. See also PostBQP, a complexity class defined with postselection. Using postselection it seems quantum TuringNick Pippenger (415 words) [view diff] exact match in snippet view article find links to article
2013 he became a fellow of the American Mathematical Society. The complexity class, Nick's Class (NC), of problems quickly solvable on a parallel computerComputational topology (1,591 words) [view diff] exact match in snippet view article find links to article
the problem lies in the complexity class NP. Furthermore, Raphael Zentner showed that the problem lies in the complexity class coNP, provided that theL-reduction (1,017 words) [view diff] exact match in snippet view article find links to article
sometimes used to refer to log-space reductions, by analogy with the complexity class L, but this is a different concept. Let A and B be optimization problemsTrémaux tree (2,301 words) [view diff] exact match in snippet view article find links to article
trees can be constructed by a randomized parallel algorithm in the complexity class RNC. They can be used to define the tree-depth of a graph, and as partMAX-3SAT (1,450 words) [view diff] exact match in snippet view article find links to article
number of clauses. MAX-3SAT is a canonical complete problem for the complexity class MAXSNP (shown complete in Papadimitriou pg. 314). The decision versionDepth-first search (2,437 words) [view diff] exact match in snippet view article find links to article
lexicographic one), can be computed by a randomized parallel algorithm in the complexity class RNC. As of 1997, it remained unknown whether a depth-first traversalAlan Cobham (mathematician) (329 words) [view diff] exact match in snippet view article
(with Jack Edmonds) inventing the notion of polynomial time and the complexity class P,[B] for Cobham's thesis stating that the problems that have practicallyMax/min CSP/Ones classification theorems (1,062 words) [view diff] exact match in snippet view article find links to article
minimize this number. When using the classifications below, the problem's complexity class is determined by the topmost classification that it satisfies. We defineThomas Jerome Schaefer (177 words) [view diff] exact match in snippet view article find links to article
generalizing Boolean satisfiability in a certain way is either in the complexity class P or is NP-complete. Thomas Jerome Schaefer at the Mathematics GenealogyDeterministic algorithm (965 words) [view diff] exact match in snippet view article find links to article
theoretically more powerful than those with deterministic output. The complexity class NP (complexity) can be defined without any reference to nondeterminismRepeat-accumulate code (376 words) [view diff] exact match in snippet view article find links to article
In computer science, repeat-accumulate codes (RA codes) are a low complexity class of error-correcting codes. They were devised so that their ensembleEquivalence problem (148 words) [view diff] exact match in snippet view article find links to article
Subsequently, the problem was shown to lie in TOWER, the least non-elementary complexity class. It becomes an undecidable problem for pushdown automata or any machinePolynomial-time counting reduction (753 words) [view diff] exact match in snippet view article find links to article
problem to another) used to define the notion of completeness for the complexity class ♯P. These reductions may also be called polynomial many-one countingQuantum Turing machine (1,083 words) [view diff] exact match in snippet view article find links to article
polynomial time on such a machine (PostBQP) is equal to the classical complexity class PP. Quantum simulator § Solving physics problems Andrew Yao (1993)Approximation-preserving reduction (1,497 words) [view diff] exact match in snippet view article find links to article
in what properties they demonstrate on optimization problems (e.g. complexity class membership or completeness, or inapproximability). The different typesMaximal independent set (5,451 words) [view diff] no match in snippet view article find links to article
In graph theory, a maximal independent set (MIS) or maximal stable set is an independent set that is not a subset of any other independent set. In otherSharp-SAT (1,342 words) [view diff] exact match in snippet view article find links to article
sharp P complete). In other words, every instance of a problem in the complexity class #P can be reduced to an instance of the #SAT problem. This is an importantDeterministic context-free language (634 words) [view diff] exact match in snippet view article find links to article
time and O(log2 n) space; as a corollary, DCFL is a subset of the complexity class SC. The set of deterministic context-free languages is closed underSpace complexity (994 words) [view diff] exact match in snippet view article find links to article
problem of whether L = RL. The corresponding nondeterministic space complexity class is NL. The term auxiliary space refers to space other than that consumedLH (311 words) [view diff] exact match in snippet view article find links to article
fiber LH (complexity) (for "logarithmic hierarchy), a computational complexity class LH (DOS command), a DOS command that loads a program into the upperMonadic second-order logic (1,308 words) [view diff] exact match in snippet view article find links to article
second-order logic captures precisely the descriptive complexity of the complexity class NP, the class of problems that may be expressed in existential monadicRNC (214 words) [view diff] exact match in snippet view article find links to article
naked choke, a martial arts move NC (complexity), or RNC, a randomized complexity class in computational complexity theory Nishinippon Broadcasting, a JapaneseDP (849 words) [view diff] exact match in snippet view article find links to article
process DP (complexity), or difference polynomial time, a computational complexity class Data processing Software design pattern, a reusable solution to a commonSkolem arithmetic (1,958 words) [view diff] exact match in snippet view article find links to article
the quantifier-free fragment of Skolem arithmetic belongs to the NP complexity class. Thanks to the above reduction using Feferman–Vaught theorem, we canFP (530 words) [view diff] exact match in snippet view article find links to article
Iain Banks FP (complexity), in computational complexity theory, a complexity class FP (programming language) designed by John Backus in the 1970s FeatureAverage-case complexity (2,746 words) [view diff] exact match in snippet view article find links to article
is not true if P ≠ P#P. A distributional problem (L, D) is in the complexity class AvgP if there is an efficient average-case algorithm for L, as definedNPI (211 words) [view diff] exact match in snippet view article find links to article
Act) No pun intended Nottingham Prognostic Index NP-intermediate, a complexity class in computational complexity theory Numbering plan indicator SearchZPL (63 words) [view diff] exact match in snippet view article find links to article
ZPL may refer to: ZPL (complexity), a complexity class ZPL (programming language), for scientific applications Zebra Programming Language, for label printersQIP (171 words) [view diff] exact match in snippet view article find links to article
rapid innovation, research, and problem solving QIP (complexity), a complexity class in computational complexity theory Quad in-line package, an electronicRLP (151 words) [view diff] exact match in snippet view article find links to article
wireless (typically cellular) air interface RLP (complexity), the complexity class of problems solvable by a probabilistic machine in logarithmic spaceBoson sampling (7,102 words) [view diff] exact match in snippet view article find links to article
in the general case an extremely hard task: it falls in the #P-hard complexity class. Moreover, its approximation to within multiplicative error is a #P-hardLászló Babai (1,021 words) [view diff] exact match in snippet view article find links to article
"Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class", J. Comput. Syst. Sci., 36 (2): 254–276, doi:10.1016/0022-0000(88)90028-1MIP (379 words) [view diff] exact match in snippet view article find links to article
Coupled model intercomparison project MIP, an interactive proof system complexity class; see Interactive proof system Mars ISPP Precursor, a test payload intendedFO (457 words) [view diff] exact match in snippet view article find links to article
(IATA airline designator), airline of Argentina FO (complexity), a complexity class .fo, the country code top level domain (ccTLD) for Faroe Islands FiberWith high probability (383 words) [view diff] exact match in snippet view article find links to article
codes which allow the user to recover the original message WHP. BQP: a complexity class of problems for which there are polynomial-time quantum algorithmsL (disambiguation) (804 words) [view diff] exact match in snippet view article
the p-norm for finite-dimensional vector spaces L (complexity), a complexity class in computational complexity theory L-notation, a notation for runningEH (290 words) [view diff] exact match in snippet view article find links to article
E_{h}} ), a chemical property Exponential hierarchy, a computational complexity class Eh, a spoken interjection in English, Italian, and Spanish ANA WingsVNP (93 words) [view diff] exact match in snippet view article find links to article
may refer to: VNP, standing for Valiant's NP, an arithmetic circuit complexity class Ventricular Natriuretic Peptide, an alternative name for Brain natriureticSZK (80 words) [view diff] exact match in snippet view article find links to article
code for Skukuza Airport Statistical zero knowledge, a computational complexity class introduced by Salil Vadhan Organization of the Kurdish language inEspace (92 words) [view diff] exact match in snippet view article find links to article
in Wiktionary, the free dictionary. Espace may refer to: ESPACE, a complexity class in computational complexity theory Espace musique, a Canadian radioQuantum mechanics of time travel (1,572 words) [view diff] exact match in snippet view article find links to article
negentropy and computational power diverge as the noise term goes to zero, complexity class may not be the best way to describe the capabilities of time machinesList of computer scientists (5,134 words) [view diff] exact match in snippet view article find links to article
mobile computing, pervasive computing Walter Savitch – discovery of complexity class NL, Savitch's theorem, natural language processing, mathematical linguisticsAC1 (108 words) [view diff] exact match in snippet view article find links to article
Force between 1919 and 1964 AC1, a candidate phylum of bacteria AC1, a complexity class in circuit complexity AC1 Sentinel, an Australian cruiser tank AC-1Vaughan Pratt (926 words) [view diff] exact match in snippet view article find links to article
efficiently verified, placing the primality testing problem in the complexity class NP and providing the first strong evidence that the problem is notTopological sorting (3,176 words) [view diff] exact match in snippet view article find links to article
using a polynomial number of processors, putting the problem into the complexity class NC2. One method for doing this is to repeatedly square the adjacencyFixed-point logic (2,030 words) [view diff] exact match in snippet view article find links to article
replaced by x and y. Over ordered structures, FO[TC] characterises the complexity class NL. This characterisation is a crucial part of Immerman's proof thatSupertask (2,383 words) [view diff] exact match in snippet view article find links to article
infinity – Concept in the philosophy of mathematics NP (complexity) – Complexity class used to classify decision problems Paradoxes of set theory TranscomputationalFunction problem (1,162 words) [view diff] exact match in snippet view article find links to article
problem in FNP can be reduced to Π R {\displaystyle \Pi _{R}} . The complexity class of FNP-complete problems is denoted by FNP-C or FNPC. Hence the problemDifferential equations of addition (424 words) [view diff] exact match in snippet view article find links to article
proved that the satisfiability of an arbitrary set of DEA is in the complexity class P when a brute force search requires an exponential time. In 2013,MENTOR routing algorithm (271 words) [view diff] exact match in snippet view article find links to article
and was published by the IEEE. Empirical observation has shown the complexity class of this algorithm to be O(N²), or quadratic. This represents "a significantValiant–Vazirani theorem (520 words) [view diff] exact match in snippet view article find links to article
accepting computation path, thus it belongs to the promise version of the complexity class UP (the class UP as such is only defined for languages). The proofPath cover (381 words) [view diff] exact match in snippet view article find links to article
problem is NP-hard. However, if the graph is acyclic, the problem is in complexity class P and can therefore be solved in polynomial time by transforming itGödel Prize (2,135 words) [view diff] exact match in snippet view article find links to article
"Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class" (PDF), Journal of Computer and System Sciences, 36 (2): 254–276, doi:10Savitch's theorem (1,038 words) [view diff] exact match in snippet view article find links to article
nondeterministically in logarithmic space can be solved deterministically in the complexity class L 2 = D S P A C E ( ( log n ) 2 ) . {\displaystyle {\mathsf {\colorRyan Williams (computer scientist) (535 words) [view diff] exact match in snippet view article
Association for Theoretical Computer Science. Williams’s result that the complexity class NEXP is not contained in ACC0 received the best paper award at theComputability logic (2,560 words) [view diff] exact match in snippet view article find links to article
complete systems characterizing one or another interactive computational complexity class C. This is in the sense that a problem belongs to C if and only ifRonald Fagin (1,179 words) [view diff] exact match in snippet view article find links to article
thesis, states that existential second-order logic coincides with the complexity class NP in the sense that a decision problem can be expressed in existentialHypercomputation (3,334 words) [view diff] exact match in snippet view article find links to article
a CTC may allow the rapid solution to PSPACE-complete problems, a complexity class which, while Turing-decidable, is generally considered computationallyL class (231 words) [view diff] exact match in snippet view article find links to article
U.S. Navy L-class star, a type of brown dwarves L (complexity), a complexity class in computational complexity theory L class, indicates "Miscellaneous"Polyhedral combinatorics (2,304 words) [view diff] exact match in snippet view article find links to article
number k is a computationally difficult problem and complete for the complexity class PP. It is important in the context of cutting-plane methods for integerPropositional proof system (1,121 words) [view diff] exact match in snippet view article find links to article
Where the bounded arithmetic in turn corresponds to a circuit-based complexity class, there are often similarities between the theory of proof systems andAmplifier (7,058 words) [view diff] no match in snippet view article find links to article
linear amps, and are used where the power saving justifies the extra complexity. Class-D amplifiers are the main example of this type of amplification. NegativeFolk theorem (game theory) (3,645 words) [view diff] exact match in snippet view article
equilibria for one-shot finite games, a problem which lies in the PPAD complexity class. The practical consequence of this is that no efficient (polynomial-time)Read-only Turing machine (812 words) [view diff] exact match in snippet view article find links to article
modern research, the model has become important in describing a new complexity class of Quantum finite automata or deterministic probabilistic automataDigraph realization problem (493 words) [view diff] exact match in snippet view article find links to article
and outdegree b i {\displaystyle b_{i}} . The problem belongs to the complexity class P. Two algorithms are known to prove that. The first approach is givenLinear programming (6,567 words) [view diff] exact match in snippet view article find links to article
linear programming problem was solvable in polynomial time, i.e. of complexity class P. Like the simplex algorithm of Dantzig, the criss-cross algorithmP class (282 words) [view diff] exact match in snippet view article find links to article
P class or Class P may refer to: P (complexity), a computational complexity class Two classes of steam locomotives used by the New Zealand Railways Department:Longest path problem (2,662 words) [view diff] exact match in snippet view article find links to article
problem, parameterized by clique-width, is hard for the parameterized complexity class W [ 1 ] {\displaystyle W[1]} , showing that a fixed-parameter tractableFlipism (2,102 words) [view diff] no match in snippet view article find links to article
Nash equilibrium – Solution concept of a non-cooperative game PP (complexity) – Class of problems in computer science Ukehi – Ancient Japanese ritual usingBipartite realization problem (610 words) [view diff] exact match in snippet view article find links to article
degree sequence of this bipartite graph. The problem belongs to the complexity class P. This can be proven using the Gale–Ryser theorem, i.e., one has toLucas–Lehmer primality test (3,467 words) [view diff] exact match in snippet view article find links to article
is related to the error rate. For constant k, this is in the same complexity class as the Lucas-Lehmer test. In practice however, the cost of doing manySwitching lemma (839 words) [view diff] exact match in snippet view article find links to article
The switching lemma is a key tool used for understanding the circuit complexity class AC0, which consists of constant-depth circuits consisting of AND, ORS2P (83 words) [view diff] exact match in snippet view article find links to article
File Format, a Touchstone File format for 2-port S-parameters SP 2, a complexity class expressing "symmetric alternation" Microsoft Surface Pro 2, a Surface-seriesNondeterministic finite automaton (4,498 words) [view diff] exact match in snippet view article find links to article
this problem is complete (under parsimonious reductions) for the complexity class SpanL. NFAs and DFAs are equivalent in that if a language is recognizedWell-colored graph (444 words) [view diff] exact match in snippet view article find links to article
Therefore, recognizing non-well-colored graphs can be performed within the complexity class NP. On the other hand, a graph G {\displaystyle G} has Grundy numberCircuit satisfiability problem (1,183 words) [view diff] exact match in snippet view article find links to article
circuit is verifiable in polynomial time. Thus Circuit SAT belongs to complexity class NP. To show NP-hardness, it is possible to construct a reduction fromHidden-line removal (1,403 words) [view diff] exact match in snippet view article find links to article
work-optimal, but it demonstrates that the hidden-line problem is in the complexity class NC, i.e., it can be solved in polylogarithmic time by using a polynomialExponential time hypothesis (3,061 words) [view diff] exact match in snippet view article find links to article
exponential time hypothesis implies that many other problems in the complexity class SNP do not have algorithms whose running time is faster than c n {\displaystyleHHL algorithm (4,842 words) [view diff] exact match in snippet view article find links to article
solvable on n qubits could be solved in poly(n) time, causing the complexity class BQP to be equal to PSPACE. Performing the Hamiltonian simulation, whichNeural cryptography (2,220 words) [view diff] exact match in snippet view article find links to article
Therefore, breaking the security of neural key exchange belongs to the complexity class NP. Alexander Klimov, Anton Mityaguine, and Adi Shamir say that theNumerical sign problem (2,218 words) [view diff] exact match in snippet view article find links to article
solution of the sign problem would also solve all problems in the complexity class NP in polynomial time. If (as is generally suspected) there are noConjunctive query (1,922 words) [view diff] exact match in snippet view article find links to article
data complexity of conjunctive queries is very low, in the parallel complexity class AC0, which is contained in LOGSPACE and thus in polynomial time. TheQuantum contextuality (5,898 words) [view diff] exact match in snippet view article find links to article
compute linear Boolean functions, i.e. to solve problems in the Parity L complexity class ⊕L. For interactions with multi-qubit quantum systems a natural assumptionDistinguishing coloring (1,309 words) [view diff] exact match in snippet view article find links to article
of graph isomorphism. However, it has been shown to belong to the complexity class AM. Additionally, testing whether the distinguishing chromatic numberSpace hierarchy theorem (2,699 words) [view diff] exact match in snippet view article find links to article
complexity of (nondeterministic) linear bounded automata which accept the complexity class N S P A C E ( n ) {\displaystyle {\mathsf {NSPACE}}(n)} (aka as context-sensitiveNewton's identities (7,642 words) [view diff] exact match in snippet view article find links to article
and solving a triangular system of equations. Both can be done in complexity class NC (solving a triangular system can be done by divide-and-conquer)Edge coloring (8,472 words) [view diff] exact match in snippet view article find links to article
by slopes, is complete for the existential theory of the reals, a complexity class at least as difficult as being NP-complete. As well as being relatedSteiner tree problem (4,365 words) [view diff] exact match in snippet view article find links to article
Euclidean Steiner tree problem is NP-complete, since membership to the complexity class NP is not known. The rectilinear Steiner tree problem is a variantExact division (5,997 words) [view diff] exact match in snippet view article find links to article
An adaptation of this algorithm shows that the problem is in the complexity class PPA. This holds even for arbitrary bounded and non-atomic valuationsQuantum refereed game (3,254 words) [view diff] exact match in snippet view article find links to article
in QRG. This probability is ≥ 1-ε. More formally, QRG denotes the complexity class for all promise problems having quantum refereed games defined as followsClique problem (9,876 words) [view diff] exact match in snippet view article find links to article
implies that the problem is unlikely to be solvable within the parallel complexity class NC. One can test whether a graph G contains a k-vertex clique, andMetric dimension (graph theory) (2,505 words) [view diff] exact match in snippet view article
metric dimension decision problem is complete for the parameterized complexity class W[2], implying that a time bound of the form nO(k) as achieved by thisBerlekamp switching game (1,968 words) [view diff] exact match in snippet view article find links to article
guarantees. A different derandomization gives a parallel algorithm in the complexity class NC. Finding the optimal choice for the second player in the game, onceIndistinguishability obfuscation (2,086 words) [view diff] exact match in snippet view article find links to article
Additionally, if iO and one-way functions exist, then problems in the PPAD complexity class are provably hard. However, indistinguishability obfuscation cannotTutte polynomial (5,349 words) [view diff] exact match in snippet view article find links to article
polynomial contains negative terms, which places the problem in the complexity class GapP, the closure of #P under subtraction. To accommodate rationalBlichfeldt's theorem (1,935 words) [view diff] exact match in snippet view article find links to article
to Blichfeldt's theorem has been shown to be complete for the PPP complexity class, and therefore unlikely to be solvable in polynomial time. The problemFeedback arc set (6,071 words) [view diff] exact match in snippet view article find links to article
problem, the case of tournaments, the problem remains NP-complete. The complexity class APX is defined as consisting of optimization problems that have a polynomialGroup testing (9,937 words) [view diff] exact match in snippet view article find links to article
testing has not been determined, it is suspected to be hard in some complexity class. However, an important breakthrough occurred in 1972, with the introductionQuadratic knapsack problem (3,911 words) [view diff] exact match in snippet view article find links to article
greatest contribution. Repeat until there is no improving swapping. The complexity class of this algorithm is O ( 2 n ) {\displaystyle O(2^{n})} since for the