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Post–Turing Machine
A Post machine or Post–Turing machineRajendra Kumar, ''Theory of Automata'', Tata McGraw-Hill Education, 2010, p. 343. is a "program formulation" of a type of Turing machine, comprising a variant of Emil Post's Turing-equivalent model of computation. Post's model and Turing's model, though very similar to one another, were developed independently. Turing's paper was received for publication in May 1936, followed by Post's in October. A Post–Turing machine uses a binary alphabet, an infinite sequence of binary storage locations, and a primitive programming language with instructions for bi-directional movement among the storage locations and alteration of their contents one at a time. The names "Post–Turing program" and "Post–Turing machine" were used by Martin Davis in 1973–1974 (Davis 1973, p. 69ff). Later in 1980, Davis used the name "Turing–Post program" (Davis, in Steen p. 241). 1936: Post model In his 1936 paper "Finite Combinatory Processes&mdas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turing Machine
A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer algorithm. The machine operates on an infinite memory tape divided into discrete mathematics, discrete cells, each of which can hold a single symbol drawn from a finite set of symbols called the Alphabet (formal languages), alphabet of the machine. It has a "head" that, at any point in the machine's operation, is positioned over one of these cells, and a "state" selected from a finite set of states. At each step of its operation, the head reads the symbol in its cell. Then, based on the symbol and the machine's own present state, the machine writes a symbol into the same cell, and moves the head one step to the left or the right, or halts the computation. The choice of which replacement symbol to write, which direction to move the head, and whet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Undergraduate
Undergraduate education is education conducted after secondary education and before postgraduate education, usually in a college or university. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, in the United States, a student pursuing an associate or bachelor's degree is known as an ''undergraduate student'' while a student who has already obtained a bachelor's degree and is pursuing a higher degree (masters, doctorate) is a ''graduate student''. Upon completion of courses and other requirements of an undergraduate program, the student would earn the corresponding degree. In some other educational systems, undergraduate education is postsecondary education up to and including the level of a master's degree; this is the case for some science courses in Britain and some medicine courses in Europe. By country Africa Nigeria In Nigeria, undergraduate degrees (excluding Medicine, Medical Laboratory Science, Nursing, Engineering, L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Halting Problem
In computability theory (computer science), computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the program will finish running, or continue to run forever. The halting problem is ''Undecidable problem, undecidable'', meaning that no general algorithm exists that solves the halting problem for all possible program–input pairs. The problem comes up often in discussions of computability since it demonstrates that some functions are mathematically Definable set, definable but not Computable function, computable. A key part of the formal statement of the problem is a mathematical definition of a computer and program, usually via a Turing machine. The proof then shows, for any program that might determine whether programs halt, that a "pathological" program exists for which makes an incorrect determination. Specifically, is the program that, when called with some input, passes its own s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roger Penrose
Sir Roger Penrose (born 8 August 1931) is an English mathematician, mathematical physicist, Philosophy of science, philosopher of science and Nobel Prize in Physics, Nobel Laureate in Physics. He is Emeritus Rouse Ball Professor of Mathematics in the University of Oxford, an emeritus fellow of Wadham College, Oxford, and an honorary fellow of St John's College, Cambridge, and University College London. Penrose has contributed to the mathematical physics of general relativity and physical cosmology, cosmology. He has received several prizes and awards, including the 1988 Wolf Prize in Physics, which he shared with Stephen Hawking for the Penrose–Hawking singularity theorems, and the 2020 Nobel Prize in Physics "for the discovery that black hole formation is a robust prediction of the general theory of relativity". He won the Royal Society Prizes for Science Books, Royal Society Science Books Prize for ''The Emperor's New Mind'' (1989), which outlines his views on physics and con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marvin Minsky
Marvin Lee Minsky (August 9, 1927 – January 24, 2016) was an American cognitive scientist, cognitive and computer scientist concerned largely with research in artificial intelligence (AI). He co-founded the Massachusetts Institute of Technology's AI laboratory and wrote extensively about AI and philosophy. Minsky received many accolades and honors, including the 1969 Turing Award. Early life and education Marvin Lee Minsky was born in New York City, to Henry, an eye surgeon, and Fannie (Reiser), a Zionism, Zionist activist. His family was Jewish. He attended the Ethical Culture Fieldston School and the Bronx High School of Science. He later attended Phillips Academy in Andover, Massachusetts, Andover, Massachusetts. He then served in the United States Navy, US Navy from 1944 to 1945. He received a B.A. in mathematics from Harvard University in 1950 and a Doctor of Philosophy, Ph.D. in mathematics from Princeton University in 1954. His doctoral dissertation was titled "Theory of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fred Hennie
Fred or FRED may refer to: People * Fred (name), including a list of people and characters with the name Mononym * Fred (cartoonist) (1931–2013), pen name of Fred Othon Aristidès, French * Fred (footballer, born 1949) (1949–2022), Frederico Rodrigues de Oliveira, Brazilian * Fred (footballer, born 1979), Helbert Frederico Carreiro da Silva, Brazilian * Fred (footballer, born 1983), Frederico Chaves Guedes, Brazilian * Fred (footballer, born 1986), Frederico Burgel Xavier, Brazilian * Fred (footballer, born 1993), Frederico Rodrigues de Paula Santos, Brazilian * Fred Again (born 1993), British songwriter known as FRED Television and movies * ''Fred'' (2014 film), a 2014 documentary film * Fred Figglehorn, a YouTube character created by Lucas Cruikshank ** ''Fred'' (franchise), a Nickelodeon media franchise ** '' Fred: The Movie'', a 2010 independent comedy film * '' Fred the Caveman'', French Teletoon production from 2002 * Fred Flintstone, of the 1966 TV cartoon ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elaine J
Elaine may refer to: Arts and entertainment * , opera composed by Herman Bemberg * "Elaine" (short story), 1945 short story by J. D. Salinger * "Elaine" (song), by ABBA Places * Elaine, Victoria, a town in Australia * Elaine, Arkansas, a US city People * Elaine (given name), real people and fictional characters with the given name * Elaine (legend), name shared by several different female characters in Arthurian legend, including: ** Elaine of Astolat ** Elaine of Corbenic * Elaine (singer), South African singer See also * Elaine's, a New York City restaurant * ''The Exploits of Elaine ''The Exploits of Elaine'' is a 1914 American Serial (film), film serial in the damsel in distress genre of ''The Perils of Pauline (1914 serial), The Perils of Pauline'' (1914). ''The Exploits of Elaine'' tells the story of a young woman named ...'', 1914 film serial in the genre of ''The Perils of Pauline'' * "Miss Elaine", song by Run–D.M.C. from the album '' Tougher T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ron Sigal
Ron is a shortening of the name Ronald. Ron or RON may also refer to: Arts and media * Big Ron (''EastEnders''), a TV character * Ron (''King of Fighters''), a video game character *Ron Douglas, the protagonist in '' Lucky Stiff'' played by Joe Alasky *'' Ron Kamonohashi: Deranged Detective'', a manga series *Ron Weasley, a character in ''Harry Potter.'' *"Ron", a song by Slint from ''Tweez'' *RON Party February 1st Language * Ron language, spoken in Plat State, Nigeria * Romanian language (ISO 639-3 code ron) People Mononym * Ron (singer), Rosalino Cellamare (born 1953), Italian singer Given name *Ron (given name) Surname * Dana Ron (born 1964), Israeli computer scientist and professor *Elaine Ron (1943-2010), American epidemiologist * Emri Ron (1936–2013), Israeli politician * Ivo Ron (born 1967), Ecuadorian football player * Jason De Ron (born 1973), Australian musician *José Ron (born 1981), Mexican actor * Liat Ron, actress, dancer and dance instructor * Lior Ron (bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kleene
Stephen Cole Kleene ( ; January 5, 1909 – January 25, 1994) was an American mathematician. One of the students of Alonzo Church, Kleene, along with Rózsa Péter, Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory, which subsequently helped to provide the foundations of theoretical computer science. Kleene's work grounds the study of computable functions. A number of mathematical concepts are named after him: Kleene hierarchy, Kleene algebra, the Kleene star (Kleene closure), Kleene's recursion theorem and the Kleene fixed-point theorem. He also invented regular expressions in 1951 to describe artificial neural network, McCulloch-Pitts neural networks, and made significant contributions to the foundations of mathematical intuitionism. Biography Kleene was awarded a bachelor's degree from Amherst College in 1930. He was awarded a Ph.D. in mathematics from Princeton University in 1934, where his thesis, ent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Busy Beaver
In theoretical computer science, the busy beaver game aims to find a terminating Computer program, program of a given size that (depending on definition) either produces the most output possible, or runs for the longest number of steps. Since an endless loop, endlessly looping program producing infinite output or running for infinite time is easily conceived, such programs are excluded from the game. Rather than traditional programming languages, the programs used in the game are n-state Turing machine, Turing machines, one of the first mathematical models of computation. Turing machines consist of an infinite tape, and a finite set of states which serve as the program's "source code". Producing the most output is defined as writing the largest number of 1s on the tape, also referred to as achieving the highest score, and running for the longest time is defined as taking the longest number of steps to halt. The ''n-''state busy beaver game consists of finding the longest-running ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wang B-machine
As presented by Hao Wang (1954, 1957), his basic machine B is an extremely simple computational model equivalent to the Turing machine. It is "the first formulation of a Turing-machine theory in terms of computer-like models" (Minsky, 1967: 200). With only 4 sequential instructions it is very similar to, but even simpler than, the 7 sequential instructions of the Post–Turing machine. In the same paper, Wang introduced a variety of equivalent machines, including what he called the W-machine, which is the B-machine with an "erase" instruction added to the instruction set. Description As defined by Wang (1954) the B-machine has at its command only 4 instructions: *(1) → : Move tape-scanning head one tape square to the right (or move tape one square left), then continue to next instruction in numerical sequence; *(2) ← : Move tape-scanning head one tape square to the left (or move tape one square right), then continue to next instruction in numerical sequence; *(3) * : In scan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
