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following are examples to supplement the article Turing machine. The following table is Turing's very first example (Turing 1937): "1. A machine can be constructed
Turing_machine_examples
Type of Turing machine
simulation. The following example is taken from Turing (1937). For more about this example, see Turing machine examples. Turing used seven symbols { A,
Universal_Turing_machine
Computation model defining an abstract machine
For examples see Turing machine examples. Less frequently the use of 4-tuples are encountered: these represent a further atomization of the Turing instructions
Turing_machine
Turing machine that halts for any input
relationship between partial Turing machines and total Turing machines: Can every partial function computable by a partial Turing machine be extended (that is
Decider_(Turing_machine)
Mathematical model of computation
probabilities for the transitions, probabilistic Turing machines can be defined as deterministic Turing machines having an additional "write" instruction where
Probabilistic_Turing_machine
Model of quantum computation
A quantum Turing machine (QTM) or universal quantum computer is an abstract machine used to model the effects of a quantum computer. It provides a simple
Quantum_Turing_machine
Hypothetical computing devices
A Turing machine is a hypothetical computing device, first conceived by Alan Turing in 1936. Turing machines manipulate symbols on a potentially infinite
Turing_machine_equivalents
Theoretical model of computation
computation with a deterministic computer. Alan Turing first developed the concept of Turing machine in 1936, imagining it as a simple computer that reads
Nondeterministic Turing machine
Nondeterministic_Turing_machine
Ability of a computing system to simulate Turing machines
cellular automaton) is said to be Turing-complete or computationally universal if it can be used to simulate any Turing machine (devised by English mathematician
Turing_completeness
Abstract calculator
"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
Post–Turing_machine
Topics referred to by the same term
A Turing machine is an abstract mathematical computational device named after Alan Turing; see the box for variants of this meaning. Turing machine may
Turing machine (disambiguation)
Turing_machine_(disambiguation)
Type of recurrent neural network
A neural Turing machine (NTM) is a recurrent neural network model of a Turing machine. The approach was published by Alex Graves et al. in 2014. NTMs combine
Neural_Turing_machine
Hypothetical computing device
A multi-tape Turing machine is a variant of the Turing machine that uses several tapes. Each tape has its own head for reading and writing. Initially
Multitape_Turing_machine
A symmetric Turing machine is a Turing machine that has a configuration graph that is undirected (that is, configuration i yields configuration j if and
Symmetric_Turing_machine
Hypothetical computational model
Zeno machines (abbreviated ZM, and also called accelerated Turing machine, ATM) are a hypothetical computational model related to Turing machines that
Zeno_machine
Type of abstract computing machine
a register machine is a generic class of abstract machines, analogous to a Turing machine and thus Turing complete. Unlike a Turing machine that uses a
Register_machine
Mathematical model of abstract computation
2-state 5-symbol Turing machine, and conjectured that a particular 2-state 3-symbol Turing machine (hereinafter (2,3) Turing machine) might be universal
Wolfram's 2-state 3-symbol Turing machine
Wolfram's_2-state_3-symbol_Turing_machine
Abstract computation model
Turing machine (or to be more precise, the definition of acceptance for such a machine) alternates between these modes. An alternating Turing machine
Alternating_Turing_machine
A multitrack Turing machine is a specific type of multi-tape Turing machine. In a standard n-tape Turing machine, n heads move independently along n tracks
Multi-track_Turing_machine
Model of computation in computer science
machines and nondeterministic Turing machines. An unambiguous Turing machine is defined as a nondeterministic Turing machine with the property that for every
Unambiguous_Turing_machine
Test of a machine's ability to imitate human intelligence
The Turing test was designed by Alan Turing to assess a machine's ability to exhibit intelligent behaviour equivalent to that of a human by imitating
Turing_test
English computer scientist (1912–1954)
encrypted by the German Enigma machine. He also contributed the Turing test to philosophy of artificial intelligence and the Turing pattern concept to mathematical
Alan_Turing
Finite-state machine
eliminating isomorphic automata. Read-only right-moving Turing machines are a particular type of Turing machine that only moves right; these are almost exactly
Deterministic finite automaton
Deterministic_finite_automaton
Intentionally obscure programming language
A Turing tarpit (or Turing tar-pit) is any programming language or computer interface that allows for flexibility in function but is difficult to learn
Turing_tarpit
Thesis on the nature of computability
numbers is called Turing computable if some Turing machine computes the corresponding function on encoded natural numbers. Turing proposed that effectively
Church–Turing_thesis
Models of computation
super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For example, a machine that
Hypercomputation
Turing machine or two-way deterministic finite-state automaton (2DFA) is class of models of computability that behave like a standard Turing machine and
Read-only_Turing_machine
Abstract model of computation
produces a Post–Turing machine. The Post–Turing machine is Turing equivalent, so we have shown that the RAM with indirection is Turing equivalent. We give
Random-access_machine
Book by Charles Petzold
The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine is a book by Charles Petzold, published
The_Annotated_Turing
particular tasks. Turing's unorganized machines were in fact very early examples of randomly connected, binary neural networks, and Turing claimed that these
Unorganized_machine
Problem in computer science
Turing machine starting from a given state ever print a given symbol?") and to the printing problem considered in Turing's 1936 paper ("does a Turing
Halting_problem
Attempts to formalize the concept of algorithms
of Turing-equivalent machines in the definition of specific algorithms, and why the definition of "algorithm" itself often refers back to "the Turing machine"
Algorithm_characterizations
Proof by Alan Turing
Turing's proof is a proof by Alan Turing submitted on 12 November 1936 and first published in 1937 with the title "On Computable Numbers, with an Application
Turing's_proof
Formal language in mathematics and computer science
exists a Turing machine that decides the formal language. In theoretical computer science, such always-halting Turing machines are called total Turing machines
Recursive_language
Mathematical model of computation
computation such as the Turing machine. The computational power distinction means there are computational tasks that a Turing machine can do but an FSM cannot
Finite-state_machine
Test to determine whether a user is human
in contrast to the standard Turing test that is administered by a human, CAPTCHAs are sometimes described as reverse Turing tests. Two widely used CAPTCHA
CAPTCHA
Study of computable functions and Turing degrees
(Turing) computable, or recursive function if there is a Turing machine that, on input n, halts and returns output f(n). The use of Turing machines here
Computability_theory
Any type of calculation
calculations carried out on a Turing Machine The majority of mathematical statements and calculations given in maths textbooks Some examples of mathematical statements
Computation
Operation in computability theory
In computability theory, the Turing jump or Turing jump operator, named for Alan Turing, is an operation that assigns to each decision problem X a successively
Turing_jump
Concept from evolutionary biology
The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis", which describes
Turing_pattern
Concept in theoretical computer science
problem, e.g., into a form of "does ⟨this Turing machine⟩ halt". For example, there is a 25-state Turing machine that checks Goldbach's conjecture for each
Busy_beaver
Turing machine on a two-dimensional grid
two-dimensional analogues of conventional Turing machines, so are occasionally referred to as simply "two-dimensional Turing machines". The remainder of this article
Turmite
Concept in computability theory
computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine that decides
Turing_reduction
1950 scientific paper by Alan Turing
Turing test to the general public. Turing's paper considers the question "Can machines think?" Turing says that since the words "think" and "machine"
Computing Machinery and Intelligence
Computing_Machinery_and_Intelligence
Intelligence in machines
8–17), Moravec (1988, p. 3) Turing's original publication of the Turing test in "Computing machinery and intelligence": Turing (1950) Historical influence
Artificial_intelligence
Abstract machine used to study decision problems
oracle Turing machines, as discussed below. The one presented here is from van Melkebeek (2003, p. 43). An oracle machine, like a Turing machine, includes:
Oracle_machine
Measure of unsolvability
In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures
Turing_degree
Powered mechanical device
computers. Models used to study modern computers are termed State machine and Turing machine. The biological molecule myosin reacts to ATP and ADP to alternately
Machine
1965:291) Turing 1937 in (Davis 1967:118) Turing 1937 in (Davis 1967:116) Turing 1937 in (Davis 1967:117) Turing 1937 in (Davis 1967:138) Turing 1937 in
History of the Church–Turing thesis
History_of_the_Church–Turing_thesis
Abstract machine used in a formal logic and theoretical computer science
power of Turing machines. Due to their unary processing style, counter machines are typically exponentially slower than comparable Turing machines. The counter
Counter_machine
Programmable machine that processes data
be Turing-complete, which is to say, they have algorithm execution capability equivalent to a universal Turing machine. Early computing machines had
Computer
Thought experiment on artificial intelligence
understanding the argument, including symbol processing, Turing machines, Turing completeness, and the Turing test. Searle's arguments are not usually considered
Chinese_room
Numbers that arise in the theory of Turing machines
Alan Turing's proof of the undecidability of the halting problem, and are very useful in reasoning about Turing machines as well. Say we had a Turing machine
Description_number
Academic subfield of computer science
Description was given by Turing Award winner Stephen Cook. Aside from a Turing machine, other equivalent (see Church–Turing thesis) models of computation
Theory_of_computation
Mathematical function that can be computed by a program
including Turing machines General recursive functions Lambda calculus Post machines (Post–Turing machines and tag machines). Register machines Although
Computable_function
Computer architecture where code and data share a common bus
that the fundamental conception is owing to Turing—in so far as not anticipated by Babbage.... Both Turing and von Neumann, of course, also made substantial
Von_Neumann_architecture
Subset of artificial intelligence
Annotation Game: On Turing (1950) on Computing, Machinery, and Intelligence", in Epstein, Robert; Peters, Grace (eds.), The Turing Test Sourcebook: Philosophical
Machine_learning
High-level computer programming language
Turing and Turing+, a systems programming variant. In September 2001, "Object Oriented Turing" was renamed "Turing" and the original Turing was renamed
Turing_(programming_language)
Game and demonstration of logic gates
Turing Tumble is a game and demonstration of logic gates via mechanical computing. Named after Alan Turing, the game could, in the abstract, duplicate
Turing_Tumble
Codebreaking device created at Bletchley Park (United Kingdom)
Machine Laboratory. A simulator for both Turing and US Navy Bombes Breaking German Navy Ciphers - The U534 Enigma M4 messages: Cracked with a Turing Bombe
Bombe
61. The Turing machine: Newquist 1994, p. 56 McCorduck 2004, pp. 63–64 Crevier 1993, pp. 22–24 Russell & Norvig 2021, p. 9 and see Turing 1936–1937
History of artificial intelligence
History_of_artificial_intelligence
the Universal Turing machine is to the Turing machine. The RASP is an example of the von Neumann architecture whereas the RAM is an example of the Harvard
Random-access stored-program machine
Random-access_stored-program_machine
Book by Roger Penrose
quantum processes have been discovered. Alan Turing, creator of the Turing test Quantum mind "Minds, Machines and Gödel". Archived from the original on 19
Shadows_of_the_Mind
Set of problems in computational complexity theory
Turing machine so that it is possible for the machine to store the entire input (it can be shown that in terms of computability the two-tape Turing machine
Complexity_class
basic machine B is an extremely simple computational model equivalent to the Turing machine. It is "the first formulation of a Turing-machine theory
Wang_B-machine
Type of computer
machines extend push-down automata with additional load/store operations or multiple stacks and hence are Turing-complete. Most or all stack machine instructions
Stack_machine
Algorithmic complexity class
the set of all decision problems that are solvable by a deterministic Turing machine in exponential time, i.e., in O(2p(n)) time, where p(n) is a polynomial
EXPTIME
Ability to solve a problem by an effective procedure
computability notions weaker than Turing machines are studied in automata theory, while computability notions stronger than Turing machines are studied in the field
Computability
Scottish artificial intelligence laboratory
after Alan Turing with whom Donald Michie had worked at Bletchley Park during the Second World War. The organisation grew out of the Machine Intelligence
Turing_Institute
Esoteric, minimalist programming language
1964 to describe a family of Turing machines. A Brainfuck variant with a finite tape and finite cell values is not Turing-complete. It has only finitely
Brainfuck
Real number that can be computed within arbitrary precision
between 0 and 1: A computable number [is] one for which there is a Turing machine which, given n on its initial tape, terminates with the nth digit of
Computable_number
Chatbot that arguably passed the Turing test
100th birthday of the test's author, Alan Turing, Goostman won a competition promoted as the largest-ever Turing test contest, in which it successfully convinced
Eugene_Goostman
Theoretical computer used for defining a model of computation
theory, such as with finite state machines, Mealy machines, push-down automata, and Turing machines. Abstract machines are typically categorized into two
Abstract_machine
Software that emulates an entire computer
Amazon Machine Image Desktop virtualization Linux containers Native development kit Paravirtualization Storage hypervisor Universal Turing machine Virtual
Virtual_machine
Inherent difficulty of computational problems
deterministic Turing machine, but many complexity classes are based on non-deterministic Turing machines, Boolean circuits, quantum Turing machines, monotone
Computational complexity theory
Computational_complexity_theory
19th century proposed mechanical computer
and so the language as conceived would have been Turing-complete as later defined by Alan Turing. Three different types of punch cards were used: one
Analytical_engine
Measure of algorithmic complexity
the Turing-machine model and the arithmetic model: In the arithmetic model, every real number requires a single memory cell, whereas in the Turing model
Strongly-polynomial_time
Hierarchy of classes of formal grammars
or Turing-recognizable languages. Note that this is different from the recursive languages, which can be decided by an always-halting Turing machine. When
Chomsky_hierarchy
German cipher machine during World War II
of three surviving examples of an Enigma machine with a printer, one of fewer than ten surviving ten-rotor code machines, an example blown up by a retreating
Enigma_machine
Complexity class used to classify decision problems
deterministic Turing machine, or alternatively the set of problems that can be solved in polynomial time by a nondeterministic Turing machine. NP is the
NP_(complexity)
Two-dimensional Turing machine with emergent behavior
Langton's ant is a two-dimensional Turing machine with a very simple set of rules but complex emergent behavior. It was invented by Chris Langton in 1986
Langton's_ant
Class of problems in computer science
only deterministic Turing machines. A language L is in PP if and only if there exists a polynomial p and deterministic Turing machine M, such that M runs
PP_(complexity)
Decryption of World War II cipher
keyboard, Alan Turing reviewed decrypted messages and determined that the word eins ("one") appeared in 90% of messages.[citation needed] Turing automated
Cryptanalysis_of_the_Enigma
Sequence of operations for a task
size of inputs increase. Any algorithm can be computed by any Turing complete model. Turing completeness only requires four instruction types—conditional
Algorithm
Theorem in computability theory
Given a set A {\displaystyle A} , the Turing jump A ′ {\displaystyle A'} is the set of indices of oracle Turing machines that halt on input 0 {\displaystyle
Post's_theorem
Unsolved problem in computer science
deterministic polynomial-time Turing machine. Meaning, P = { L : L = L ( M ) for some deterministic polynomial-time Turing machine M } {\displaystyle {\mathsf
P_versus_NP_problem
Impossible task in computing
calculability" based on his λ-calculus, and by Alan Turing the next year with his concept of Turing machines. Turing immediately recognized that these are equivalent
Entscheidungsproblem
Deterministic model of computation
1, the set of m-tag systems is Turing-complete; i.e., for each m > 1, it is the case that for any given Turing machine T, there is an m-tag system that
Tag_system
British statistician and cryptographer (1916–2009)
cryptologist at Bletchley Park with Alan Turing. After the Second World War, Good continued to work with Turing on the design of computers and Bayesian
I._J._Good
Mathematical model describing how an output of a function is computed given an input
Finite-state machines Post machines (Post–Turing machines and tag machines). Pushdown automata Register machines Random-access machines Turing machines Decision
Model_of_computation
1952 puzzle video game
by Alan Turing starting in 1945. The project was delayed for many months, however, due to technical, political, and economic reasons, and Turing abandoned
Checkers_(video_game)
Test of machine intelligence
of the Turing test. Proposed by Alan Turing in 1950, the Turing test plays a central role in the philosophy of artificial intelligence. Turing proposed
Winograd_schema_challenge
Two-dimensional cellular automaton
Conway. Theoretically, the Game of Life has the power of a universal Turing machine: anything that can be computed algorithmically can be computed within
Conway's_Game_of_Life
1952 scholarly article by Alan Turing
analytical treatment. Evolutionary developmental biology Turing pattern Symmetry breaking Turing, Alan (1952). "The Chemical Basis of Morphogenesis" (PDF)
The Chemical Basis of Morphogenesis
The_Chemical_Basis_of_Morphogenesis
Concept in complexity theory
numbers with the property that f(n) can be constructed from n by a Turing machine in the time of order f(n). The purpose of such a definition is to exclude
Constructible_function
Class of computational complexity
PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space. If we denote by S P A C E ( f (
PSPACE
Study of abstract machines and automata
different names by different research communities. The earlier concept of Turing machine was also included in the discipline along with new forms of infinite-state
Automata_theory
Mathematical-logic system
Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. Its namesake, the
Lambda_calculus
Statistical technique developed by Alan Turing and I. J. Good
ball or one of a previously unseen colour. Good–Turing frequency estimation was developed by Alan Turing and his assistant I. J. Good as part of their methods
Good–Turing frequency estimation
Good–Turing_frequency_estimation
Cryptanalytic process developed by Alan Turing during World War II
Banburismus was a cryptanalytic process developed by Alan Turing at Bletchley Park in Britain during the Second World War. It was used by Bletchley Park's
Banburismus
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TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Girl/Female
Australian, Japanese
Child of Machi
Female
German
German form of Scottish Malvina, MALWINE means "smooth-brow."
Male
Scottish
Pet form of Scottish Gaelic Lachlann, LACHIE means "lake-land."
Male
French
French form of Latin Macarius, MACAIRE means "blessed."
Girl/Female
Bengali, Indian
Machine
Female
Scottish
Feminine form of Scottish Lachlan, LACHINA means "lake-land."
Female
Native American
Native American Hopi name KACHINA means "sacred dancer; spirit."
Male
English
Pet form of English Sacheverell, SACHIE means "roe-buck leap."
Female
English
Feminine form of English Max, MAXINE means either "the greatest rival" or "the stream of Mack."Â
Female
French
French feminine form of Latin Martinus, MARTINE means "of/like Mars."Â
Male
Hindi/Indian
(सचिन) Hindi myth name borne by Indra, SACHIN means "pure."
Female
Hawaiian
Hawaiian name MAHINA means "moon; moonlight."
Female
English
Variant spelling of English Maureen, MAURINE means "obstinacy, rebelliousness" or "their rebellion."
Male
Hebrew
Variant spelling of Hebrew Yakiyn, YACHIN means "he establishes" or "whom God strengthens."Â
Female
French
Feminine form of French Marin, MARINE means "of the sea."
Boy/Male
American, Australian
Weighing Machine
Female
Yiddish
(×™Ö·×—Ö°× Ö¶×¢) Yiddish form of Hebrew Yochana, YACHNE means "God is gracious."Â
Surname or Lastname
English
English : variant spelling of Machen.Spanish (MachÃn) : probably a nickname from machÃn ‘boor’, ‘lout’, often applied to a blacksmith’s apprentice.French : nickname from Old French machin ‘scheming’.
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
TURING MACHINE-EXAMPLES
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