Machine translation, therefore, is believed to be AI-complete: it may require strong AI to be done as well as humans can do it.
Since the ATPG problem is NP-complete (by reduction from the Boolean satisfiability problem) there will be cases where patterns exist, but ATPG gives up since it will take an incredibly long time to find them (assuming P≠NP, of course).
3-SAT is NP-complete (like any other k-SAT problem with k>2) while 2-SAT is known to have solutions in polynomial time.
However, this reduction is more liberal than the standard reduction used in computational complexity (sometimes called polynomial-time many-one reduction); for example, the complexity of the characteristic functions of an NP-complete problem and its co-NP-complete complement is exactly the same even though the underlying decision problems may not be considered equivalent in some typical models of computation.
This is because exact solution of the full CI determinant is NP-complete, so the existence of a polynomial time algorithm is unlikely.
Playing Mahjong solitaire optimally in the sense to maximize the probability of removing all tiles is PSPACE-complete, and the game gets NP-complete when peeking below tiles is allowed.
The Clay Mathematics Institute is offering a US $1 million reward to anyone who has a formal proof that P=NP or that P≠NP.
When a language L is complete for some class B, then AL=AB provided that machines in A can execute reductions used in the completeness definition of class B. In particular, since SAT is NP-complete with respect to polynomial time reductions, PSAT=PNP.
The computational complexity of the permanent also has some significance in other aspects of complexity theory: it is not known whether NC equals P (informally, whether every polynomially-solvable problem can be solved by a polylogarithmic-time parallel algorithm) and Ketan Mulmuley has suggested an approach to resolving this question that relies on writing the permanent as the determinant of a matrix.
A brute force search solves the problem in time O(2k), but this may be difficult to improve upon, since the problem is NP-complete.
Examples of games that are PSPACE-complete (when generalized so that they can be played on an n × n board) are the games hex and Reversi and the solitaire games Rush Hour, Mahjong, Atomix, and Sokoban.
Jerrum, Valiant, and Vazirani showed that every #P-complete problem either has an FPRAS, or is essentially impossible to approximate; if there is any polynomial-time algorithm which consistently produces an approximation of a #P-complete problem which is within a polynomial ratio in the size of the input of the exact answer, then that algorithm can be used to construct an FPRAS.
The optimal "threading" of a protein sequence onto a known structure and the production of an optimal multiple sequence alignment have been shown to be NP-complete.
Complete functional testing methods exploit the specification systematically, generating test-sets which exercise the implemented software system exhaustively, to determine whether it conforms to the specification.
Complete list of downloadable songs for the Rock Band series | NP-complete | complete game | The King of Rock 'n' Roll: The Complete 50's Masters | Spiral Circle Complete | The Complete TurtleTrader: How 23 Novice Investors Became Overnight Millionaires | The Complete Stevie Wonder | The Complete Anti-Federalist | Dragon Ball & Dragon Ball Z: Great Complete Collection | Complete blood count | What It Meant: The Complete Discography | The Standard Edition of the Complete Psychological Works of Sigmund Freud | the first complete edition of Mozart's works | The Complete Thom Bell Sessions | The Complete Stone Roses | The Complete Reprise Studio Recordings | The Complete On the Corner Sessions | The Complete Mozart Edition | The Complete Limelight Sessions | The Complete Idiot's Guide to Songwriting | The Complete Idiot's Guide to... | The Complete Hitch Hiker's Guide to the Galaxy | The Complete Beatles Recording Sessions | PSPACE-complete | Pepcid Complete | Oh Carol: The Complete Recordings, 1955–66 | Lord Halifax's Complete Ghost Book | Lady Day: The Complete Billie Holiday on Columbia 1933–1944 | Johnny Cash: The Complete Columbia Album Collection | ''Great Complete Collection'' |
These major changes included a completely new Scout Handbook, complete revision for Boy Scout rank advancement requirements, addition of "skill awards", and multiple uniform options (including the introduction of the visor cap and beret).
1999 Stefan Chwin for his complete works, especially for the novel Tod in Danzig Death in Danzig
The leading legal reforms instituted included a secular constitution (laïcité) with the complete separation of government and religious affairs, the replacement of Islamic courts and Islamic canon law with a secular civil code based on the Swiss Civil Code, and a penal code based on that of Italy (1924–37).
He is noted in particular for singing all of the bass parts in the complete Bach church cantatas cycle for Brilliant Classics, as well as Bach's St Matthew Passion and St John Passion.
Davies was reinstated to the university the next school year, and returned to the basketball team, where he is scheduled to complete his athletic eligibility in 2013.
II can be gauged from the data on an information board at the Bristol Aeroplane Company Museum at Kemble Airfield, Kemble, Gloucestershire, where a complete Bloodhound can be seen.
Chappe et Gessalin (CG) was a French automobile maker founded in 1946 which commenced manufacturing complete cars in Brie-Comte-Robert, Seine-et Marne in 1957.
"Check on It" is an R&B and hip hop song, which is instrumentally complete with a heavy bassline, strings, and wind instrument.
A new sports complex, complete with dance studio, weights room and gymnasium, changing rooms and a large main sports hall, was officially opened on 10 October 2001 by Princess Alexandra.
There is a complete collection of panoramic photographic postcards that show The Shedd Aquarium and more.
While classical styles reigned in the parade rooms, upscale houses, from Badminton House (where the "Chinese Bedroom" was furnished by William and John Linnell, ca 1754) and Nostell Priory to Casa Loma in Toronto, sometimes feature an entire guest room decorated in the chinoiserie style, complete with Chinese-styled bed, phoenix-themed wallpaper, and china.
(For instance, the Complete Works published by the Arden company is often referred to as the Arden Shakespeare, and the edition produced by Yale University called the Yale Shakespeare.)
David accepted an offer to complete high school at the Los Angeles County High School for the Arts where he took early classes in Computer graphics and became the youngest Graphics editor of the Association for Computing Machinery.
Notable among his many appearances was his performance of Johann Sebastian Bach's complete Well Tempered Clavier in Munich, Vienna, Salzburg, and Klagenfurt.
Sir Richard David Muir, prosecuting, showed that the claims about the King were a complete fiction.
It is the most complete compilation from the band, including extra tracks "Strong Strong Wind", and "The Way I Feel", plus containing songs from Russell Hitchcock's solo album and live album Now and Forever...Greatest Hits Live.
After the war he returned to Italy to complete his studies in engineering at the University of Turin.
Indeed, Sidney Colvin originally wished to complete the biography, but disputes with Fanny led him to drop the project.
Rear Admiral Albert C. Read (1887–1967), Commander/Navigator of the NC-4, the first aircraft to complete a transatlantic flight in 1919
The first, The Complete Book of PAN, is a guide to the card game of the same name.
He has translated the complete 1857 edition of fairy tales of the Brothers Grimm.
Say was intended to follow a commercial career, and in 1785 was sent, with his brother Horace, to complete his education in England: here he attended a private school in Croydon, and was afterwards employed by a merchant in London.
#Sat-Sandarbhas (Six Sandarbhas): According to Jiva Goswami himself, Gopala Bhatta Goswami had already done the preliminary work on these books but could not complete it.
A complete list of the works of Joseph will be found in his life by Bernays.
Drafted by the Chicago White Sox in the 3rd round of the 2002 Major League Baseball Draft out of Louisburg College, Rupe was acquired by the Texas Rangers along with Frank Francisco and minor leaguer Anthony Webster to complete an earlier trade for Carl Everett in July 2003.
LIBT students complete a one or two-year university transfer programme and, subject to meeting the required progression criteria, transfer into the second year of Brunel University’s three-year undergraduate BSc degree programmes in Business & Management, Information Systems & Computing and Economics & Finance.
Laszewski is a former head coach of the Saint Louis Bombers in the Rugby Super League, and was the first American coach to complete the International Rugby Board's Level 3 certification program.
He topped the University of Madras in his post graduation in 1953 and later went on to complete his Ph.D. from the University of Kerala in 1973.
He was born in Sandnes in the county of Rogaland in 1921 and began studying for a degree in philology at the University of Oslo but his studies were interrupted by the Second World War and he only managed to complete his degree in 1947.
Born in Palmeira d'Oeste, Brazil to a second generation Japanese-Brazilian father and Italian-Brazilian mother, Tulio moved to Japan at age 15 to complete his high school studies.
:Previously a MVNO now complete subsidiary of Sprint Corporation, Virgin Mobile USA provides prepaid wireless service using Sprint's CDMA, WiMAX, and 4G LTE networks.
The current version of the game allows the player to compete in two adventures aimed at mining the lunar Regolith to find minerals, build additional mining robots, and complete adventures for other characters.
It is volume 33 of the "Mosaic Select" series and includes the complete contents of the previously released RCA / Victor recordings, Kogun (1974), Long Yellow Road (1975), Tales of a Courtesan (Oirantan) (1976), Insights (1976), and March of the Tadpoles (1977).
Sean McCormack, a National Security Council spokesman, stated "She was in the middle of making a point and Blitzer interrupted her, and she reflexively repeated 'on background,' but she was not confirming it and went on to complete her thought."
He has also contributed to Complete Remodeling and Complete Landscaping, both published in 2004 by This Old House Books in conjunction with Sunset Books.
In a self-paced class, students complete coursework through Calvert, Lincoln Interactive and Little Lincoln.
After working in now independent Namibia for four years he returned to the UK to complete the LL.M from University of Warwick in 1996.
In 1843 he returned to Ireland to complete his education, and entered Trinity College, Dublin.
During the course of the adventure the player will need to make decisions (such as choosing whether to save Nightcrawler or Jean Grey) or complete certain tasks (like stopping a group of mutated soldiers from destroying a computer that holds research on the Legacy Virus).
With the actor Michael Gough she also gave the first complete performance in London of Liszt's dramatic recitations.
It is a scholarly study of the work of the ancient Roman playwright Titus Maccius Plautus whose "twenty complete comedies constitute the largest extant corpus of classical dramatic literature" (p. 1)
The original inspiration for Square occurred to Jack Dorsey in 2009 when James McKelvey (a St. Louis friend of Dorsey at the time) was unable to complete a $2,000 sale of his glass faucets and fittings because he could not accept credit cards.
She was appointed to the Public Service Commission in 1993 by Governor Ed Schafer to complete the term by Dale V. Sandstrom, who resigned.
A more complete version of the film was screened at the Cinema Wasteland movie convention in Strongsville, Ohio in October 2010, with Mr. Lewis in attendance.
Unfinished Tales contains the start of a more mature and complete narrative, which Tolkien began after finishing The Lord of the Rings in the 1950s.
The Democrats had gained complete control of Florida's congressional delegation in 1878, although the results of the election in the 2nd district were successfully challenged, so that a single Republican represented Florida in the House for the last two months of the 46th Congress.
The rebels were at first defeated at Cotagaita on 27 October and at Tupiza on 29 October, but collected their forces, and at Suipacha on 7 November they gained a complete victory, the royalist governor and the two royalist generals being made prisoners.
He has recorded the complete orchestral repertoire of Paul Hindemith, Erich Wolfgang Korngold, Hans Pfitzner, and Benjamin Frankel.
While collecting fossils in the Clarno Formation of Oregon during 1941, noted paleobotanists Alonzo W. Hancock and Chester A. Arnold recovered the most complete Zygolophodon skull known at the time.