Geometry.Net - Math_Discover: Turing Machine

Generation5.org - Turing Machines
He constructed the theory of a turing machine. His theorem (the ChurchTuringthesis) states that Thus, the turing machine can do three possible things.
http://www.generation5.org/turing.shtml

Extractions: Home Essays Interviews Programs ... Search Search: During the 1930s-1950s many researchers debated over what was computable, and what wasn't. Many had argued over formal approaches to computability. In 1937, Alan Turing, a British mathematician who is now considered the father of computing and artificial intelligence sought to seek an answer to this dilemna. He constructed the theory of a Turing machine. His theorem (the Church-Turing thesis) states that Any effective procedure (or algorithm) can be implemented through a Turing machine. So what are Turing machines? Turing machines are abstract mathematical entities that are composed of a tape , a read-write head , and a finite-state machine . The head can either read or write symbols onto the tape , basically an input-output device. The head can change its position, by either moving left or right. The finite state machine is a memory/central processor that keeps track of which of finitely many states it is currently in. By knowing which state it is currently in, the finite state machine can determine which state to change to next, what symbol to write onto the tape, and which direction the head should move (left or right). (Note: the tape shall be assumed to be as large as is neccessary for the current computation it was assigned) As seen in the above figure, input onto the tape comprises of some finite alphabet (in this case it consists of 0, 1, blank). Thus, the Turing machine can do three possible things.
Turing Machine Emulator
turing machine Emulator. The turing machine Emulator has movedto the COS 126 course page. Click here to view it.
http://www.cs.princeton.edu/~tventimi/turing/
Turing Machines
Java turing machine Simulator. The Emulator. Here is a turing machinesimulator that is written in Java. It animates many different
http://www.cs.princeton.edu/courses/archive/fall02/cs126/demo/TURING/index.php?c
Ftrain: My Turing Machine
I made my own turing machine. Or perhaps I am a turing machine and I'm just lookingin the mirror. Ftrain.com. My turing machine. Tuesday, 7 Mar 2000.
http://www.ftrain.com/archive_ftraintwo_38.html

Extractions: Tuesday, 7 Mar 2000. I made my own Turing Machine. Or perhaps I am a Turing Machine and I'm just looking in the mirror. By Paul Ford Recently, I've been reading a lot about the history of computers, and dusting up on my study of Alan Turing, who, in addition to really enjoying a children's BBC radio program me about lambs well into his 30's, also made some contributions to the theory of computation. I took up his challenge, and decided to see if I could actually do all my work writing Ftrain on a Turing machine, so I went down to my workshop last weekend and coded my own binary-state infinite computation kernel in assembler (which is, I know, sort of cheating). Today, it runs above the Linux kernel as a virtual machine. I'm hoping to bootstrap my 400 MhZ Intel box in the next 2 weeks with the new Turing Kernel, bypassing Linux entirely. To show you my progress, I wanted to provide some screenshots of the system's user interface, which I think is both novel and elegant. They're greatly reduced from full screen size, but I think each captures the essence of the OS very well. In case you're wondering, the input comes from hitting the space bar to represent a value of "0" and hitting the enter key to represent a value of "1." Pure interface simplicity, in under 20 bytes of code (in the future I hope to get the OS down to no more than 1 bit). Screenshot 1: Initial Phase/Bootup I was pretty excited when I got my Turing machine to boot for the first time and saw this screen.
Turing Machine
turing machine. A turing machine (TM) is an imaginary symbolic representation ofa computer. Anything that is computable (algorithmic) can be done on it.
http://www.cs.siu.edu/~langin/notes/turingmachine.html

Extractions: Turing Machine What this is: An entry in my general notes about computer complexity. Go to the top of the notes. Comments are welcome. A Turing Machine (TM) is an imaginary symbolic representation of a computer. Anything that is computable ( algorithmic ) can be done on it. It is a decider and an acceptor for recursively enumerable languages Type Andrew Hodges has a web page with many references describing Turing Machines Some languages are not recognizable by a Turing Machine. This is because all Turing Machines are countable , but all languages are not countable. Therefore, there are more languages than Turing Machines. Therefore, Turing Machines cannot recognize all languages. Every t(n) time multitape TM has an equivalent O(t (n)) single-tape TM. Types of Turing Machines:
Turing Machine
turing machine. (turing machine VERSION) The two numbers to be added areplaced on the tape surrounded by * on each end and + between them;;
http://courses.cs.vt.edu/~cs1104/ModelsComp/Working.010.html

Extractions: Turing Machine The following sequence of frames shows the steps through the execution of the algorithm to add two "monadic" numbers. NOTE: During the running of the program the diagram highlights the instruction just executed and resulting machine configuration. The algorithm that was used is: (PSEUDO CODE VERSION):
Results For Advanced Search
Refine search New search. Keywords matches all of turing machine .Displaying results 1 to 42 of 42. Search time 0s. Bringsjord
http://psycprints.ecs.soton.ac.uk/perl/advsearch?keywords=Turing Machine
Turing Machine From FOLDOC
turing machine. computability A decoding. of higher level machine codeinstructions. A busy beaver is one kind of turing machine program. Dr
http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Turing Machine
Turing Machine
U V W X Y Z turing machine. A turing machine is an abstractrepresentation of a computing device. It consists of a read
http://setis.library.usyd.edu.au/stanford/archives/fall1997/entries/turing-machi

Extractions: A B C D ... Z A Turing machine, therefore, is more like a computer program (software) than a computer (hardware). Any given Turing machine can be realized or implemented on an infinite number of different physical computing devices. Computer scientists and logicians have shown that Turing machines given enough time and tape can compute any function that any conventional digital computers can compute. Also, a `probabilistic automaton' can be defined as a Turing machine in which the transition from input and state to output and state takes place with a certain probability (E.g. "If in State 1 scanning a 0: (a) there is a 60% probability that the machine will print 1, move left, and go into State 3, and (b) there is a 40% probability that the machine will print 0, move left, and go into State 2".) Turing machines were first proposed by Alan Turing, in an attempt to give a mathematically precise definition of "algorithm" or "mechanical procedure". Early work by Turing and Alonzo Church spawned the branch of mathematical logic now known as recursive function theory. The concept of a Turing machine has played an important role in the recent philosophy of mind. The suggestion has been made that mental states just are functional states of a probabilistic automaton, in which binary inputs and outputs have been replaced by sensory inputs and motor outputs. This idea underlies the theory of mind known as "machine functionalism".
Deep Fried Turing Machine
Deep Fried turing machine I can't tell whether this is a food itemor a new computing form. (2, +2), (Short-ish) In the fast-paced
http://www.halfbakery.com/idea/Deep_20Fried_20Turing_20Machine

Extractions: (Short-ish) In the fast-paced computer market software and hardware design firms are always looking for the best method of conveying information. In light of this I was spending an evening at an all-night slop-joint with some friends and debated the merits of french-fries and onion-rings as a new method of Programming. Not only would it bolster a not-really faltering fast-food industry but it would give computer programmers more of a reason not to get up from their computer to eat. Think about it, an entire industry bent on the production of frech-fries and onion-rings for the largest Turing machine on the planet. And his name? Bob Hackworth: 700 pounds of lard and the richest man on the planet. (no offence intended to any person who is named Either Bob or Hackworth or Both). Severian , Jul 17 2002
Turing Machine Simulator
turing machine simulator. The simulator runs under MSWindows (the archivecontains a DOS version as well, but it has a really bad interface ).
http://www.cs.technion.ac.il/~cs236343/simulator.html

Extractions: The simulator runs under MS-Windows (the archive contains a DOS version as well, but it has a really bad interface...). It enables you to create a "program" text file, which defines the transition table of a TM, and then run it (either step-by-step or continuously) on selected inputs. The model of TM simulated by this software differs from our basic model defined in class in two ways: it uses a two-way infinite tape (as the one defined in the second TIRGUL), and it doesn't allow the head to stay in its place (i.e. head move directions are only L/R). The software is pretty straightforward to use. After executing it, load some demo ".tur" file from the file menu, and see how it runs. The structure of program files (with suffix ".pro") is also very easy to understand. This format goes as follows - each transition Delta(oldstate,oldsymb)=(newstate,newsymb,d) of the TM should be represented by the single line:
Turing Machine
turing machine. See http//plato.stanford.edu/entries/turingmachine/for a full description. Here's a simple turing machine in Python-.
http://c2.com/cgi/wiki?TuringMachine
Turing Machine Simulator
ANOTHER turing machine SIMULATOR, IMPLEMENTED AS A JAVA(tm) APPLICATION.Version 1.2 (November 1, 1997). Obtaining the turing machine simulator.
http://www.cs.binghamton.edu/~software/tm/tmdoc.html

Extractions: (tm) Java is a registered trademark of Sun Microsystems This is a simulator for deterministic Turing machines, following the style in J. E. Hopcroft and J. D. Ullman, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley, 1979. A simulator for non-deterministic Turing machines is being planned and will appear after the next project, which is a simulator for a non-deterministic push-down automaton. Please note that there is also a finite-state machine simulator available Obtaining the Java interpreter Be prepared for several hours download time (try overnight). If you plan to develop programs in Java, download the "api documentation" and unzip it using a 32-bit (long file name) unzipper No file copying is necessary if you are working locally and using our server bingsuns. For your own PC, download the file
XML.com: 1036 Turing Machine Markup Language (TMML) [Mar. 26, 2001]
turing machine Markup Language (TMML) is an XML application for the descriptionof turing machines. turing machine Markup Language (TMML). Date Mar.
http://www.xml.com/pub/r/1036

Extractions: Turing Machine Markup Language (TMML) is an XML application for the description of Turing machines. TMML is named for Alan Turing's hypothetical Universal Turing Machine, which demonstrated the essential idea of a modern computer a decade before it was possible to implement one electronically. A Turing machine consists of a theoretical tape moving back and forth in front of a read/write head. The tape is comprised of adjacent boxes, and each box contains a symbol. The machine can read symbols from and write symbols to the "boxes", and perform a limited set of states and manipulation functions, such as a "halt" state and a "transition" function (which performs actions such as copying the current symbol and state to the next box). Given enough tape and logic, any computable problem can be solved. Using TMML, the Turing machine definitions can be employed to build XML documents that are Turing Machines solving particular computation problems. The TMML site posts sample code for machines that increment a number calculate the length of a string , and implement the ROT13 cipher . The machines operate via an Extensible Style Language Transformations (XSLT) stylesheet that "executes" the Turing machine described in TMML.
Turing, Turing Machine, Sign Concept
DÖBENHENISCH © Turing, turing machine, Sign concept - Final Version - 4/5/99- 1 // 1. Alan Matthew Turing, the turing machine, and the Concept of Sign. by.
http://www.inm.de/kip/SEMIOTIC/DRESDEN_FEBR99/CS_Turing_and_Sign_febr99.html

Extractions: This paper demonstrates a basic equation between 'semiotics' and 'computational semiotics'. The term 'semiotics' is here understood according to the writings of Charles Morris, and the term 'computational' is based on the concept of the 'Turing machine' as provided by Alan Matthew Turing. Taking the concept of a 'scientific theory' as the common point of reference, it is shown how the concept of the Turing machine and the concept of semiotics can be reconstructed uniformly within this framework. Finally, it is shown how one can construct a mapping between the concept of 'semiotic agent' as proposed by Morris and the concept of the Turing machine. The result is that everything that can be said about a semiotic agent within Morris's concept of semiotics can be stated in terms of the Turing machine concept. Turing was not a Semiotician Meta-Mathematics: Turing's first Playground Relating Turing to Semiotics Being Scientific Reconstructing Turing's Contribution within a Theory Concept Reconstructing Charles Morris's Contribution within a Theory Concept Comparing Turing and Morris The Vision of Intelligent Systems as Semiotic Systems References
[math/0209332] Hypercomputation: Computing More Than The Turing Machine
From Toby Ord tdo@students.cs.mu.oz.au Date Wed, 25 Sep 2002 180700GMT (764kb) Hypercomputation computing more than the turing machine.
http://arxiv.org/abs/math.LO/0209332

Extractions: Due to common misconceptions about the Church-Turing thesis, it has been widely assumed that the Turing machine provides an upper bound on what is computable. This is not so. The new field of hypercomputation studies models of computation that can compute more than the Turing machine and addresses their implications. In this report, I survey much of the work that has been done on hypercomputation, explaining how such non-classical models fit into the classical theory of computation and comparing their relative powers. I also examine the physical requirements for such machines to be constructible and the kinds of hypercomputation that may be possible within the universe. Finally, I show how the possibility of hypercomputation weakens the impact of Godel's Incompleteness Theorem and Chaitin's discovery of 'randomness' within arithmetic. References and citations for this submission:
The Artwork Of Jin Wicked || The Universal Turing Machine
The Universal turing machine. Title The Universal turing machine. Size6.5 × 10 (~17 cm × 26 cm). Media Ink on Bristol Board. Framed No.
http://www.jinwicked.com/en/art/drawings/turing.html

Extractions: $10.00 Prints , Still Available This is a dual illustration of a man named Alan Turing drawn as the creation for which he is most famous. The links to the left are highly recommended to anyone interested in reading about Mr. Turing, his ideas, and his life in greater detail. Prints In addition to the original, this piece is being offered in a limited edition print run of 100 pieces, signed and numbered individually. The prints are on heavy weight, 90 lb. high quality paper, and are suitable for framing. Prints are $10.00 US + $10.00 shipping and handling in the US and Canada; $15.00 for most other international destinations. Prints ship at no additional charge when combined with other art purchases. All art prints are shipped flat in a handsome presentation portfolio, with attached business card and signed certificate of authenticity. Texas residents add 8.25% sales tax. The actual image size is 6.5" × 10", with an approximately one-inch margin around the artwork. To purchase a print, please proceed to my purchase information page top of page
Turing Machine
encyclopediaEncyclopedia turing machine. turing machine, a mathematicalmodel of a device that computes via a series of discrete
http://www.infoplease.com/ce6/sci/A0849731.html

Extractions: Turing machine Turing machine, a mathematical model of a device that computes via a series of discrete steps and is not limited in use by a fixed maximum amount of data storage. Introduced by the British mathematician Alan Turing in 1936, a Turing machine is a particularly simple computer , one whose operations are limited to reading and writing symbols on tape, or moving along the tape to the left or to the right one symbol at a time. Its behavior at a given moment is determined by the symbol in the square currently being read and by the current state of the machine. The theoretical prototype of the electronic digital computer, Turing machines are one of the key abstractions used in modern computability theory, the study of what computers can and cannot do. Appropriate Turing machines have found application in the study of artificial intelligence, the structure of languages, and pattern recognition.
Dave's Homepage: Demonstration Of Turing Machine Programs
Demonstration of turing machine Programs. Here I demonstrate a bunch ofprograms I've written for the purpose of deepening my understanding
http://www.its.caltech.edu/~boozer/symbols/demo.html

Extractions: Here I demonstrate a bunch of programs I've written for the purpose of deepening my understanding of Turing's model of computation. I will assume the programs have already been compiled, and are located in the current directory. List all the files: > ls 1.num 5.num 8.num mul.fsm tm* 2.num 6.num fsm2num* num2fsm* utm.fsm 3.num 7.num increment.fsm prime.fsm Turing machine to increment unary numbers: > more increment.fsm 001 > 001 R 001 1 > 002 1 R 002 > 000 1 R 002 1 > 002 1 R Some unary numbers: > more 3.num 1110 > more 6.num 1111110 Demonstrate the Turing machine simulator by incrementing a few numbers: > tm increment.fsm 3.num 1111 > tm increment.fsm 5.num 111111 Demonstrate the multiplication Turing machine: > cat 3.num 4.num > 3-4.num > more 3-4.num 1110 11110 > tm mul.fsm 3-4.num 111111111111 Demonstrate Turing machine which determines primes from nonprimes: > tm prime.fsm 2.num 11 > tm prime.fsm 3.num 11 > tm prime.fsm 4.num 1 > tm prime.fsm 5.num 11 > tm prime.fsm 6.num 1 > tm prime.fsm 7.num 11 > tm prime.fsm 8.num 1
Turing Machine
turing machine. A turing machine can compute everything, a usual computerprogram can compute. Less efficient but the computation
http://www.mathematik.com/Turing/

Extractions: Mathematik STEP STOP RUN ... RANDOM A Turing machine can compute everything, a usual computer program can compute. Less efficient - but the computation allows a mathematical analysis of questions like :"What is computable? What is decidable? What is complexity? Input and output of a Turing machine is performed on a doubly infinite band containing or 1's. This is the memory of the machine. The machine running here with 3 states does the following in state 2: if the band shows 0: go to state 3, move the band to the left and write 1. If the band shows 1, go to state 1, move the band to the left and write 0. This rule for state 2 can be abbreviated as 2: (3L1) (1L0).

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