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Class in computational complexity theory
complexity theory, a decision problem is P-complete (complete for the complexity class P) if it is in P and every problem in P can be reduced to it by an appropriate
P-complete
Complexity class
The #P-complete problems (pronounced "sharp P complete", "number P complete", or "hash P complete") form a complexity class in computational complexity
♯P-complete
Complexity class
in P and an NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains NP-complete, whereas
NP-completeness
Mathematical proof about the permanent of matrices
The #P-completeness of 01-permanent, sometimes known as Valiant's theorem, is a mathematical proof about the permanent of matrices, considered a seminal
♯P-completeness of 01-permanent
♯P-completeness_of_01-permanent
Complexity class
problems. The most difficult, representative problems of this class are #P-complete. An NP decision problem can often be stated in the form "Are there any
♯P
Ability of a computing system to simulate Turing machines
Turing-complete. A related concept is that of Turing equivalence – two computers P and Q are called equivalent if P can simulate Q and Q can simulate P. The
Turing_completeness
class was defined by Papadimitriou and Zachos in 1983. An example of a ⊕P-complete problem (under polynomial-time many-one reductions) is ⊕SAT: given a Boolean
Parity_P
2024 film by James Mangold
A Complete Unknown is a 2024 American biographical film about the early career of American singer-songwriter Bob Dylan, directed by James Mangold, written
A_Complete_Unknown
Unsolved problem in computer science
many NP-complete problems. If any NP-complete problem is in P, then it would follow that P = NP. However, many important problems are NP-complete, and no
P_versus_NP_problem
Subset of incomparable elements
counting the number of antichains of a finite partially ordered set is #P-complete. Let S {\displaystyle S} be a partially ordered set. Two elements a {\displaystyle
Antichain
examples include the real numbers, the complex numbers, and complete valued fields (such as the p-adic numbers). A field is a set F {\displaystyle F} with
Complete_field
American literary canon
This is a complete list of works by H. P. Lovecraft. Dates for the fiction, collaborations and juvenilia are in the format: composition date / first publication
H._P._Lovecraft_bibliography
Algorithm for counting perfect matchings in planar graphs
This same task is #P-complete for general graphs. For matchings that are not required to be perfect, counting them remains #P-complete even for planar graphs
FKT_algorithm
Class of problems solvable in polynomial time
difficult problems in P are P-complete problems. Another generalization of P is P/poly, or Nonuniform Polynomial-Time. If a problem is in P/poly, then it can
P_(complexity)
Riemannian manifold in which geodesics extend infinitely in all directions
mathematics, a complete manifold (or geodesically complete manifold) M is a (pseudo-) Riemannian manifold for which, starting at any point p of M, there
Complete_manifold
Problem of counting solutions to logic formulas
problems, known as #P-complete (read as sharp P complete). In other words, every instance of a problem in the complexity class #P can be reduced to an
♯SAT
Graph in which every two vertices are adjacent
graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a
Complete_graph
Protein source containing all nine essential amino acids
A complete protein or whole protein is a food source of protein that contains an adequate proportion of each of the nine essential amino acids necessary
Complete_protein
Term describing difficult problems in AI
is but one more AI-complete problem: if we could solve anyone artificial intelligence problem, we could solve all the others", p. 302) Raymond, Eric
AI-complete
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
"[GT24] Balanced complete bipartite subgraph", Computers and Intractability: A Guide to the Theory of NP-Completeness, W. H. Freeman, p. 196, ISBN 0-7167-1045-5
Complete_bipartite_graph
permanent is #P-complete. The problems of finding a vertex disjoint and edge disjoint cycle covers with minimal number of cycles are NP-complete. The problems
Vertex_cycle_cover
Type of decision problem in computer science
the given problem. The PSPACE-complete problems are widely suspected to be outside the more famous complexity classes P (polynomial time) and NP (non-deterministic
PSPACE-complete
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)
Set of edges without common vertices
Hosoya index of the graph. It is #P-complete to compute this quantity, even for bipartite graphs. It is also #P-complete to count perfect matchings, even
Matching_(graph_theory)
Algorithmic complexity class
problem with the number of steps written in unary is P-complete. Other examples of EXPTIME-complete problems include the problem of evaluating a position
EXPTIME
List of characters appearing in the Marvel Cinematic Universe
Contents: A–L (previous page) M N O P Q R S T U V W X Y Z See also References Mary MacPherran (portrayed by Jameela Jamil), also known as Titania, is
Characters of the Marvel Cinematic Universe: M–Z
Characters_of_the_Marvel_Cinematic_Universe:_M–Z
Term in mathematics
example of this is the twisted cubic in P R 3 {\displaystyle \mathbb {P} _{R}^{3}} : it is a smooth local complete intersection meaning in any chart it can
Complete_intersection
Complexity class
special case of any co-NP-complete problem with only polynomial overhead. If P is different from co-NP, then all of the co-NP-complete problems are not solvable
Co-NP-complete
Tire & Rubber to Join S&P SmallCap 600" (PDF). S&P Dow Jones Indices. June 30, 2026. Retrieved July 5, 2026. "QXO Completes Acquisition of TopBuild"
List_of_S&P_400_companies
Type of computational problem
#P, C=P, ModkP, ⊕P, etc. The matrix determinant function is #L-complete. As for oracle machines using #P-oracles, we have P P P H ⊂ P # P = P P P ⊂ P S
Counting_problem_(complexity)
Characteristic of some logical systems
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can
Completeness_(logic)
"LifeStance Health Group Set to Join S&P SmallCap 600" (PDF). April 27, 2026. Retrieved May 5, 2026. "ASGN completes rebrand to Everforth, debuts new ticker"
List_of_S&P_600_companies
American twin-engined fighter of WWII
testing. The rest of the order was completed as P-38F-13-LO, P-38F-15-LO, P-38G-13-LO, and P-38G-15-LO aircraft. P-322-I: 22 Lightning Is of the 143 built
Lockheed_P-38_Lightning
Undirected, connected, and acyclic graph
case of spanning trees in a complete graph.) The similar problem of counting all the subtrees regardless of size is #P-complete in the general case (Jerrum
Tree_(graph_theory)
Mathematical phrase
if and only if it is chain-complete. Proofs rely on the axiom of choice. Alternatively, an ordered set P {\displaystyle P} is a pointed dcpo if and only
Complete_partial_order
Set of computational problems stated by Richard Karp (1973)
computationally intractable, and it drove interest in the study of NP-completeness and the P versus NP problem. Karp's 21 problems are shown below, many with
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
Notion in computational complexity theory
directed max degree-3 graphs is #P-complete. Consequently, the general version of Hamiltonian Cycle problem must be #P-complete as well. Shakashaka provides
Parsimonious_reduction
every quasi-complete topological vector space is sequentially complete. Cauchy net Complete space Complete topological vector space Quasi-complete space Topological
Sequentially_complete
1982 greatest hits album by Madness
(4th ed.). Simon & Schuster. p. 508. ISBN 0-7432-0169-8. Millar, Robbi (24 April 1982). "Nut supreme". Sounds. p. 38. Complete Madness at Official Charts
Complete_Madness
When a finite set S of relations yields polynomial-time or NP-complete problems
by S is either in P or is NP-complete, as opposed to one of the classes of intermediate complexity that is known to exist (assuming P ≠ NP) by Ladner's
Schaefer's_dichotomy_theorem
Largest integer that divides given integers
divisor Long (1972, p. 33) Pettofrezzo & Byrkit (1970, p. 34) Kelley, W. Michael (2004). The Complete Idiot's Guide to Algebra. Penguin. p. 142. ISBN 978-1-59257-161-1
Greatest_common_divisor
Metric geometry
by a complete translation-invariant metric. The space Q p {\displaystyle \mathbb {Q} _{p}} of p-adic numbers is complete for any prime number p . {\displaystyle
Complete_metric_space
Unrelated vertices in graphs
constant factor in polynomial time (unless P = NP). In fact, Max Independent Set in general is Poly-APX-complete, meaning it is as hard as any problem that
Independent set (graph theory)
Independent_set_(graph_theory)
American WWII-era fighter aircraft
by NAA's engineer Schmued or by Curtiss, as NAA had purchased the complete set of P-40 wind tunnel data and flight test reports. The NA-73X was also one
North_American_P-51_Mustang
Denture for toothless people
A complete denture (also known as a full denture, false teeth or plate) is a removable appliance used when all teeth within a jaw have been lost and need
Complete_dentures
1977 single by the Clash
Steve (4 November 2014). "The 1970s: The Clash - "Complete Control". The Alternative Jukebox. Cassell. p. 89. ISBN 978-1-84403-789-6. Partridge, Kenneth
Complete_Control
Statistics term
T is said to be complete for the distribution of X if, for every measurable function g, if E θ ( g ( T ) ) = 0 for all θ then P θ ( g ( T ) = 0
Completeness_(statistics)
Pitcher pitching an entire game without the benefit of a relief pitcher
In baseball, a complete game (CG) is the act of a pitcher pitching an entire game without the benefit of a relief pitcher. A pitcher who meets this criterion
Complete_game
1992 studio album by Obituary
End Complete (Liner notes). 1998. p. 5. The Obituary Remasters: The End Complete (Liner notes). 1998. p. 3. The Obituary Remasters: The End Complete (Liner
The_End_Complete
Country in East Asia
2022, pp. 234–236. Liu & Chen 2012, p. 28. Wang, Liang & Shi 2022, pp. 241–243. GIZ 2022, pp. 13–14. "China Completes 3,000-km Green Belt Around Its Biggest
China
American businessman and investor (1955–2011)
Chronicle. p. A1. Archived from the original on August 18, 2006. Retrieved August 9, 2006. "Steve Jobs and the Celebrity Diagnosis Complete Guide to Tumors
Steve_Jobs
Property of subsets of ordered vector spaces
space is called order complete, Dedekind complete, a complete vector lattice, or a complete Riesz space, if it is order complete as a subset of itself
Order_complete
Collection of all creative works of a person or group
The complete works of an artist, writer, musician, group, etc., is a collection of all of their cultural works. For example, Complete Works of Shakespeare
Complete_works
Problem in linear algebra
theory, a theorem of Valiant states that computing permanents is #P-hard, and even #P-complete for matrices in which all entries are 0 or 1 Valiant (1979).
Computing_the_permanent
Set of books by G. E. Cokayne and others
The Complete Peerage (full title: The Complete Peerage of England, Scotland, Ireland, Great Britain, and the United Kingdom Extant, Extinct, or Dormant);
The_Complete_Peerage
2015 studio album by New Order
Music Complete is the tenth and final studio album by English rock band New Order. It was released on 25 September 2015 by Mute Records, their debut on
Music_Complete
Partially ordered set in which all subsets have both a supremum and infimum
mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice
Complete_lattice
Method for solving one problem using another
complete problems for other complexity classes, including the PSPACE-complete languages and EXPTIME-complete languages. Every decision problem in P (the
Polynomial-time_reduction
Design feature of language
Complete feedback is one of Charles Hockett's 16 design features of language which states that speakers are able to receive feedback on what they are vocalizing
Complete_feedback
are subsets of the class P of deterministic polynomial-time decision problems. Formally, a decision problem is NL-complete when it belongs to NL, and
NL-complete
and "complete curve" are usually used interchangeably. Over a more general base scheme, the distinction still matters.[citation needed] A curve in P 3 {\displaystyle
Complete_algebraic_curve
and vertex cover. PCP theorem Sahni, Sartaj; Gonzalez, Teofilo (1976), "P-complete approximation problems", Journal of the ACM, 23 (3): 555–565, doi:10.1145/321958
Hardness_of_approximation
1990 compilation album by Minor Threat
Complete Discography is a compilation album by American hardcore punk band Minor Threat, released in 1989 through the band's own Dischord Records. As the
Complete_Discography
President of India from 2002 to 2007
a unifier of diverse traditions, Shashi Tharoor remarked, "Kalam was a complete Indian, an embodiment of the eclecticism of India's heritage of diversity"
A._P._J._Abdul_Kalam
Problem in theoretical computer science
the subisomorphism problem is still N P-complete, in particular because the Hamiltonian cycle problem is NP-complete for planar graphs. Here Ω invokes Big
Subgraph_isomorphism_problem
Class in computational complexity theory
using parallelism. Just as the class NP-complete can be thought of as "probably intractable", so the class P-complete, when using NC reductions, can be thought
NC_(complexity)
2007 video game
Lego Star Wars: The Complete Saga is a 2007 Lego-themed action-adventure video game based on the Lego Star Wars line of construction toys. The game was
Lego Star Wars: The Complete Saga
Lego_Star_Wars:_The_Complete_Saga
Complexity class
NP-intermediate If P and NP are different, then there exist decision problems in the region of NP that fall between P and the NP-complete problems. (If P and NP are
NP-hardness
Marvel Comics paperbacks that reprint entire runs
fit seamlessly next to one another on readers' bookshelves, presenting a complete and unbroken run of each title." The original announcement consisted of
Marvel_Epic_Collection
Book by Gustav Kobbé
(1997). The New Kobbé's Opera Book. New York: G. P. Putnam's Sons. London: Ebury Press. ISBN 0091814103. The Complete Opera Book, 1919 at Project Gutenberg
The_Complete_Opera_Book
Computer science concept
0 P := Σ 0 P := Π 0 P := P , {\displaystyle \Delta _{0}^{\mathrm {P} }:=\Sigma _{0}^{\mathrm {P} }:=\Pi _{0}^{\mathrm {P} }:=\mathrm {P} ,} where P is
Polynomial_hierarchy
Base-1 numeral system
decision problem descriptions in theoretical computer science (e.g. some P-complete problems), where it is used to "artificially" decrease the run-time or
Unary_numeral_system
Concept in mathematical logic
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining
Functional_completeness
Decidable first-order theory of the natural numbers with addition
counted as quantifiers. PA(1, j) is in P, while PA(1) is NP-complete. For i > 0 and j > 2, PA(i + 1, j) is ΣiP-complete. The hardness result only needs j>2
Presburger_arithmetic
collapses further than Δ 2 P {\displaystyle \Delta _{2}^{P}} . (Fortune, 1979) showed that if any sparse language is co-NP-complete, then P = NP. (Mahaney, 1982)
Sparse_language
American meteorologist and inventor (1906–1996)
Irving P. Krick (December 20, 1906 – June 20, 1996) was an American meteorologist and inventor, the founding professor of Department of Meteorology at
Irving_P._Krick
Level of information in economics and game theory
In economics and game theory, complete information is an economic situation or game in which knowledge about other market participants or players is available
Complete_information
Transportation policy and design approach
Complete streets is a transportation policy and design approach that requires streets to be planned, designed, operated and maintained to enable safe,
Complete_streets
Mathematical term
field to be spherically complete. Any locally compact field is spherically complete. This includes, in particular, the fields Qp of p-adic numbers, and any
Spherically_complete_field
Public domain classical music collection
chamber works. Other commissioning projects include the complete Beethoven piano sonatas and the complete works of Frédéric Chopin. Musopen, under the URL musopen
Musopen
Type of formal logic
a world if P {\displaystyle P} is true at every accessible possible world. A variety of proof systems exist which are sound and complete with respect
Modal_logic
British writer and poet (1916–1990)
p. 217. Dahl 2013b, p. 23. Sturrock 2010, p. 116. "No. 34964". The London Gazette. 8 October 1940. p. 5907. Sturrock 2010, p. 120. Conant 2008, p. 3
Roald_Dahl
Game in algorithmic game theory
Determining whether a pure Nash equilibrium exists is a Σ 2 P {\displaystyle \Sigma _{2}^{\rm {P}}} -complete problem (see Polynomial hierarchy). Many other types
Succinct_game
Yes/no problem in computer science
problem P is said to be complete for a set of decision problems S if P is a member of S and every problem in S can be reduced to P. Complete decision
Decision_problem
Fundamental theorem in mathematical logic
Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability
Gödel's_completeness_theorem
Concept in mathematical logic
In mathematical logic, a theory of a language is complete if it is consistent and it proves every closed formula with which it is not inconsistent. That
Complete_theory
known to be complete for the class SL, so Reingold's work showed that SL is the same class as L. On alternating graphs, the problem is P-complete (Immerman
St-connectivity
Mexican television sitcom (2002–2012)
comically dysfunctional family. La familia P. Luche, however, plays more like a live-action cartoon, complete with colorful sets and comic sound effects
La_familia_P._Luche
Simple programming languages
primitive recursive functions. FlooP is identical to BlooP except that it supports unbounded loops; it is a Turing-complete language and can express all computable
BlooP_and_FlooP
American maritime patrol aircraft
flight-test aircraft to be completed in 2009. On 30 March 2005, it was assigned the P-8A designation. The P-8 is to replace the P-3. Initially, it was equipped
Boeing_P-8_Poseidon
American rapper and producer (born 1969)
changed his stage name from "Puff Daddy" to "P. Diddy" in 2001. The gospel album Thank You, which had been completed just before the beginning of the weapons
Sean_Combs
Encyclopedia of Mathematics), who uses the term Dieudonné complete Kelley Willard, p. 265, Ex. 39B Kelley, p. 208, Problem 6.L(d). Note that Kelley uses the word
Completely uniformizable space
Completely_uniformizable_space
American crime drama television series (1980–1988)
eight seasons of Magnum, P.I. on DVD in Region 1, 2 and 4. On October 1, 2013, Universal released Magnum, P.I. - The Complete Series on DVD in Region 1
Magnum,_P.I.
American writer (1890–1937)
p. 52; Joshi 2010b, p. 186; de Camp 1975, p. 270. Joshi 2010a, p. 16; de Camp 1975, p. 12; Cannon 1989, p. 1–2. Joshi 2010a, p. 8; de Camp 1975, p. 11;
H._P._Lovecraft
Category in which all small limits exist
In mathematics, a complete category is a category in which all small limits exist. That is, a category C is complete if every diagram F : J → C (where
Complete_category
alternative models without complete mixing, such as cellular automata models and spatial game theory approaches. Wiegand, R.P.; Liles, W.C.; De Jong, K
Complete_mixing
Problem of determining if a Boolean formula could be made true
problem, and is #P-complete. UNIQUE SAT is the problem of determining whether a formula has exactly one assignment. It is complete for US, the complexity
Boolean satisfiability problem
Boolean_satisfiability_problem
American businessman and politician (1888–1969)
Kennedy survived the crash "because he possessed a passion for facts, a complete lack of sentiment and a marvelous sense of timing". During the Great Depression
Joseph_P._Kennedy_Sr.
2021 online concert by Seventeen
In-Complete (stylized in all caps 2021 Seventeen Online Concert In-Complete) was the first online concert by South Korean boy band Seventeen. It was livestreamed
In-Complete
English musician (born 1945)
Chris Charlesworth (1995) The complete guide to the music of Eric Clapton Archived 10 August 2023 at the Wayback Machine p.67. Omnibus Press, 1995 "Longtime
Eric_Clapton
travel, tourism, insurance
P COMPLETE
P COMPLETE
Surname or Lastname
English
English : variant of Cudlip(p), a habitational name from Cudlipptown in Petertavy, Devon.Americanized form of German Gottlieb.
Girl/Female
Australian, British, Danish, English, German
Mistress of All; Power of the Home; World Ruler; P
Surname or Lastname
English, Dutch, and Jewish
English, Dutch, and Jewish : variant of Samson. The -p- was introduced in the Greek transliteration of the Hebrew name Shimshon. The English surname has also long been established in Ireland.
Surname or Lastname
English
English : from a personal name, Old English SnÄ«p or Old Norse SnÃpr.English : habitational name from a place so called in former Northumberland.
Surname or Lastname
Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp)
Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp) : from Ukrainian tsap ‘billy goat’, Polish cap, and so probably a nickname for someone thought to resemble the animal in some way or perhaps a metonymic occupational name for a goat herd.Czech (Čáp) : nickname for a tall or long-legged man, from Äáp ‘stork’.Southern French : from Occitan cap ‘head’ (Latin caput); probably a nickname for a person with something distinctive about his head. The word was often used in the metaphorical sense ‘chief’, ‘principal’, and the surname may also have denoted a leader or a village elder. In some cases it may also be a topographic name from the same word used in the sense of a promontory or headland.Americanized spelling of German Kapp.English : variant spelling of Capp.
Surname or Lastname
English
English : occupational name for a carrier, from Middle English sum(p)ter ‘(driver of a) pack animal’.
Surname or Lastname
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.
Surname or Lastname
English
English : habitational name from Patmore in Hertfordshire, which appears in Domesday Book as Patemere, from an Old English personal name P(e)atta + Old English mere ‘lake’, ‘pool’.
Boy/Male
Muslim
Deer name of a sahabi who p
Surname or Lastname
English
English : topographic name from Middle English slape ‘slippery, miry place’, or a habitational name from any of the places named with this word (Old English slǣp), as for example Slape in Dorset or Sleap in Shropshire.
Boy/Male
Indian
Deer name of a sahabi who p
Surname or Lastname
English (mainly southern)
English (mainly southern) : metonymic occupational name for a dancer, or a nickname for someone with an odd gait, from Middle English trip(p)(en) ‘to step lightly, skip, or hop’ (Old French triper).English : metonymic occupational name for a butcher or tripe dresser, from Middle English, Old French trip(p)e ‘tripe’ (of unknown origin).German : metonymic occupational name for a maker of wooden pattens (trippe), a type of raised sole that could be strapped to normal footwear for walking in unpaved muddy streets.
Surname or Lastname
English
English : habitational name from any of the various places, for example in Derbyshire, County Durham, Northumberland, Shropshire, Sussex, and West Yorkshire, so called from Old English scēap, scīp ‘sheep’ + lēah ‘wood’, ‘clearing’.
Surname or Lastname
French
French : from a pet form of the personal name P(i)erre, French form of Peter.English (Bristol) : variant of Parrott
Surname or Lastname
English
English : topographic name for someone who lived on or by a strip of land, Old English strīp.
Surname or Lastname
English
English : habitational name, perhaps from Lepton in West Yorkshire, which is named from Old English hlēp ‘leap’ (hence ‘cliff’, ‘steep slope’) + tūn ‘enclosure’, ‘settlement’.English : probably a variant of Leverton.
Female
English
Pet form of English Peg, PEGGY means "pearl." It is a variant spelling of Meggie, the pet form of Meg. The reason for the change from "M" to "P," which also occurs in Molly and Polly, is not known.
Surname or Lastname
English
English : habitational name from Skipton or Skipton-on-Swale in North Yorkshire. Both places are named with Old English scīp ‘sheep’ (with later change of ‘s’ to ‘sk’ under Scandinavian influence) + tūn ‘enclosure’, ‘settlement’.
Male
Hungarian
Hungarian form of English Philip, FÜLÖP means "lover of horses."
Surname or Lastname
English
English : habitational name from any of the various places, for example in Dorset, Glloucestershire, Hampshire, Oxfordshire, and Shropshire, so called from Old English scēap, scīp ‘sheep’ + tūn ‘enclosure’, ‘settlement’.
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE
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