Geometry.Net - Math_Discover: Turing Machine

Turing Machine Simulator
You need a Javaenabled browser to run this program.
http://www.igs.net/~tril/tm/tm.html
Turing Machines
A function is computable if it can be computed by a turing machine. It maybe described as follows A turing machine processes an infinite tape.
http://www.ams.org/new-in-math/cover/turing.html

Extractions: In the 1930's (before the advent of the digital computer) several mathematicians began to think about what it means to be able to compute a function. Alonzo Church and Alan Turing independently arrived at equivalent conclusions. As we might phrase their common definition now: A function is computable if it can be computed by a Turing machine. A Turing machine is a very simple machine, but, logically speaking, has all the power of any digital computer. It may be described as follows: A Turing machine processes an infinite tape. This tape is divided into squares, any square of which may contain a symbol from a finite alphabet, with the restriction that there can be only finitely many non-blank squares on the tape. At any time, the Turing machine has a read/write head positioned at some square on the tape. Furthermore, at any time, the Turing machine is in any one of a finite number of internal states. The Turing machine is further specified by a set of instructions of the following form:
Turing Machine Simulator -- Intro
turing machine Simulator Intro. The TM Simulator is my first substantialapplet, a project I worked on over the summer to help
http://wap03.informatik.fh-wiesbaden.de/weber1/turing/

Extractions: The TM Simulator is my first substantial applet, a project I worked on over the summer to help me learn the language, to pass ample free time, and to have fun. It turned out to be alot more difficult than I'd expected, particularly the GUI layout aspects, but I've finally completed enough of it to make it available for public viewing, and in the process I've become moderately proficient at the non-bells-and-whistles aspects of Java. It seems to be working pretty well on the platforms where I've tested it, but do expect "unimplemented" tags and miscellaneous bugs to pop up. Please report any of the latter to me by email so I can fix them! I don't expect this program will be wildly popular with the general public, as it is not replete with cool animation, sound clips, etc....but other theoretical comp sci. geek-types out there might find it a fun toy. So, without further ado, here's a link to the applet itself . You'll probably want to read some or all of these help files first, though: Turing Machine Simulator Applet
Turing Machine Simulator
You need a Javaenabled browser to run this program. Read the documentation.
http://wap03.informatik.fh-wiesbaden.de/weber1/turing/tm.html
What Is A Turing Machine?
What is a turing machine? A turing machine is an a finite set of instructions.Such a mechanism is now known as a turing machine.
http://www.science.gmu.edu/~jsteidel/801-prj/turing.html

Extractions: "Mathematician Alan M. Turing was one of the first to propose the idea of a universal mathematics machine. Turing and Emil Post independently proved that determining the decidability of mathematical propositions is equivalent to asking what sorts of sequences of a finite number of symbols can be recognized by an abstract machine with a finite set of instructions. Such a mechanism is now known as a Turing machine. "A Turing machine can be pictured as a black box capable of reading, printing, and erasing symbols on a single, long tape or strip of paper divided by lines into square cells, or boxes. Each cell is blank or contains one symbol from a finite alphabet of symbols. "The Turing machine scans the tape, one cell at a time, usually beginning at the cell furthest to the left that contains a symbol. The machine can leave the beginning symbol unchanged, erase it, or print another in its place. If in reading the tape the machine later encounters a blank cell, then the machine has the choice of leaving the cell empty or entering a symbol. After it performs its assigned task on a given cell, the machine stops or else moves one cell to the left or right. "What the machine does to a cell and which way it moves afterward depends on the state of the machine at that instant. Like a state of mind, the machine's internal configuration establishes the environment in which a decision is made. Turing machines are restricted to a finite number of states.
Turing Machine - Wikipedia
turing machine. From Wikipedia, the free encyclopedia. The turing machineis The Universal turing machine. Every turing machine computes
http://www.wikipedia.org/wiki/Turing_machine
Turing Machine - Epitonic.com: Hi Quality Free MP3 Music
say on our message boards. Tell it like it is. sign up for the epitonicnew music newsletter. turing machine Jade Tree Records .
http://www.epitonic.com/artists/turingmachine.html

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The Turing Machine
The turing machine. Its characteristics and behaviour qualify the TuringMachine as a finite state machine (FSM), or a finite automaton.
http://www.brunel.ac.uk/depts/AI/alife/al-turin.htm

Extractions: The Turing Machine In 1936, Alan Turing constructed an imaginary automaton, the Turing Machine, a theoretical concept in the mathematical theory of computability . His paper "Computing machinery and intelligence" (Turing 1950) addresses the question of machine intelligence, assessing the arguments against the possibility of creating an intelligent computing machine and suggesting answers to those arguments, proposing the Turing Test as an empirical test of intelligence. This machine can be viewed as a sophisticated tape player, with an arbitrarily extendible tape. The tape is marked off in sections, each section containing a "1", a "0" or being blank. There is a tape head, that looks at one section at a time. This tape head is capable of only three actions: Write on the tape (or erase from tape), only on the section being viewed. Change the internal state. Move the tape or 1 space, to the left or right. Its characteristics and behaviour qualify the Turing Machine as a finite state machine (FSM), or a finite automaton. Significantly, it separates information into two elements - that from its internal state, and that which is derived externally. At any particular moment in time, it is in a describable state, and between this moment and the next discrete time step, the machine reads its input from the tape, refers to rules controlling its behaviour, and considering both the input and its own current state, determines what behaviour to exhibit (i.e. erase/write on tape, move tape) and which internal state to assume next.
Universal Turing Machine -- From MathWorld
Universal turing machine, A turing machine which, by appropriate programming usinga finite length of input tape, can act as any turing machine whatsoever.
http://mathworld.wolfram.com/UniversalTuringMachine.html

Extractions: A Turing machine which, by appropriate programming using a finite length of input tape, can act as any Turing machine whatsoever. In his seminal paper, Turing himself gave the first construction for a universal Turing machine (Turing 1937, 1938). Shannon (1956) showed that two colors were sufficient, so long as enough states were used. Minsky (1962) discovered a 7-state 4-color universal Turing machine, illustrated above (Wolfram 2002, p. 706). Note that the 20th rule specifies that the Turing machine should halt, as indicated by leaving the head stationary and not changing its state. Upon conversion to a 2-color machine, Minsky's universal Turing machine requires 43 states. Comparatively little more was published about small universal Turing machines until Rogozhin (1996) found examples with the numbers ( m, n ) of states m and colors n given by (24, 2), (10, 3), (7, 4), (5, 5), (4, 6), (3, 10), and (2, 18) (Wolfram 2002, p. 1119). A 2-state 5-color universal Turing machine, illustrated above, was discovered by Wolfram (2002, p. 707). This example has the smallest product
Universal Turing Machine In XSLT
Universal turing machine in XSLT. Thus, this stylesheet is a Universal TuringMachine and is an existence proof that XSLT 1.0 is Turing complete.
http://www.unidex.com/turing/utm.htm

Extractions: This page describes an XSLT 1.0 stylesheet that executes (i.e., interprets) the Turing machine that is described in the source TMML document. Thus, this stylesheet is a Universal Turing Machine and is an existence proof that XSLT 1.0 is Turing complete. A language is Turing complete if it is powerful enough to implement any Turing machine. It's widely believed that Turing machines are powerful enough to perform any calculation that can be performed by a modern computer program. Obtaining the Universal Turing Machine Stylesheet
Turing Machine Markup Language
turing machine Markup Language. The turing machine Markup Language(TMML) is an XML language for describing turing machines. This
http://www.unidex.com/turing/tmml.htm

Extractions: B2B Integration Solutions from Unidex Home XML Convert Professional Services Resources ... About Unidex The Turing Machine Markup Language (TMML) is an XML language for describing Turing machines. This page describes TMML (pronounced timmel), and provides the TMML DTD and sample TMML documents (i.e., sample Turing machines expressed in TMML). There are various definitions of the Turing machine. For example, some definitions of the Turing machine define halt states, and other definitions do not. In some definitions, the tape is infinite in both directions, and in others, the tape is only infinite to the right. TMML was designed to be a superset of these various Turing machine definitions. The differences among these definitions are not significant; in general, a Turing machine that conforms to one definition can be easily converted into an equivalent Turing machine that conforms with another definition. The DTD for TMML is available as HTML and as a downloadable file The following sample TMML documents are available in HTML format and in XML format: A Turing machine that implements the ROT13 cipher. [
Dictionary Of Philosophy Of Mind - Turing Machine
turing machine A simple mechanical device consisting solely of atape, a read/write head, and a finite state machine. Turing was
http://www.artsci.wustl.edu/~philos/MindDict/turingmachine.html

Extractions: Turing machine A simple mechanical device consisting solely of a tape, a read/write head, and a finite state machine. Turing was able to show that this machine is able to perform all the operations a person working with a logical system would be able to perform. The Turing machine has had a central role in theories of computation and computability since the mid 1930s when they were introduced as a rigorous means of defining the concept of 'method' (or algorithm) by Alan Turing . The machine itself is quite simple: it consists solely of a tape, a read/write head and a table of state changes. The tape is divided into discrete boxes, each of which may have either a zero or a one in it. The head will read or write a zero or one, depending on the current state and what is in the current tape-square which the head reads. Despite the simplicity of this idea, it lays all the foundations for understanding the modern computer and computation in general. Turing was able to show that the Turing machine was a mechanical process that was able to perform all the operations a person working with a logical system would be able to perform. Alonzo Church , in reference to Turing's work, formulated what is now referred to as the Church-Turing thesis; namely, that all definitions of computability are equivalent (i.e. Turing machine computable functions are all the computable functions there are). In other words, Turing machines can compute any function that is computable, assuming that both the tape and time are infinite.
Turing Machine Simulator
Math Archives Homepage turing machine Simulator. Santa Monica, CA 90405 jkennedy@smc.edu.The TURING program simulates the operation of a turing machine.
http://archives.math.utk.edu/software/msdos/miscellaneous/jkturing/.html
Turing Machine
http://web.bvu.edu/faculty/schweller/Turing/Turing.html
Turing Machine From FOLDOC
turing machine. computability A hypothetical machine code instructions.A busy beaver is one kind of turing machine program. Dr. Hava
http://wombat.doc.ic.ac.uk/foldoc/foldoc.cgi?Turing Machine
Warthman Associates, Technical Writer - Turing Machine Animation
turing machine Applet. The following Java applet animates a TuringMachine that can add or multiply numbers. The animation shows
http://www.warthman.com/ex-turing.htm

Extractions: Turing Machine Applet An explanation of the Turing Machine can be seen in the applet by clicking the button entitled "How the Applet Works". The applet may take several seconds to download. If it does not appear after several seconds, or if it continues to appear all gray after several seconds, the most probable cause is: (a) you are behind a corporate firewall that blocks incoming Java applets, or (b) your browser is an early version that does not support Java applets correctly; try downloading the latest version of your browser. Click here to enter your email address in our Java mailing list. By doing so, you will receive notices of new Java applications from Warthman Associates. To delete your name from this mailing list, click here
The Web As A Turing Machine
Archive of UserLand's first discussion group, started October 5, 1998. Theweb as a turing machine. Author Dave Winer. What is a turing machine?
http://discuss.userland.com/msgReader$10950

Extractions: Archive of UserLand's first discussion group, started October 5, 1998. Author: Dave Winer Posted: 9/12/1999; 8:47:24 PM Topic: The web as a Turing Machine Msg #: Prev/Next: In 1936, before the age of computers, Alan Turing, an English mathematician working at Princeton University defined what has come to be known as a "Turing Machine". It's a very simple specification that defines what a computer is. Three simple components, a tape reader, a tape writer, and a processor. The processor reads information from the tape, transforms it, and writes the transformed data to the output tape. Many of today's everyday objects fit the Turing model. A digital cellphone is a Turing Machine its input tape is the keypad, and the output tape is its memory. If your refrigerator, car, bicycle, or stereo has a computer in it, it can be modeled as a Turing Machine. Turing discovered the mathematics of computers, and his model still works, and probably always will work, to simplify the understanding of what we do with computers. Now, if so many things are computers, is the web also a computer, according to Turing's mathematics? Well, yes and no. Much of the web is static pages that do not respond to input. Those are not Turing. But more of the web is dynamic, and that part fits the Turing model, and therefore, is just like any other computer you might encounter.
A Turing Machine Emulation - By Paul A. Queior
A turing machine emulation in Java, by Paul A. Queior, for his Computer Science21a course first semester at Brandeis University. A turing machine.
http://www.cs.brandeis.edu/~paulq/Turing/TuringAppletMac.html
Turing Machine (C++ Implementation)
Visitors 3 7 4 5 since Nov 09, 2002 Last Modification 2002/12/10 Here is A turing machine (C++ Implementation).
http://alexvn.freeservers.com/s1/turing.html

Extractions: [ Last Modification : 2002/12/10] - Here is A Turing Machine (C++ Implementation) . The algorithm has been written by Alex Vinokur. Programming Language : C++. Any and all comments would be appreciated. Alex Vinokur alexvn@go.to alexv@hitechclub.com ... http://alexvn.freeservers.com/s1/turing.html Also : Turing Machine with faults, failures and recovery
The Steam-Powered Turing Machine
The SteamPowered turing machine. The Steam-Powered turing machine mural was painted on a stairwell wall of Sieg Hall nearly a
http://bauhaus.cs.washington.edu/general/sptm-caption.html

Extractions: The "Steam-Powered Turing Machine" mural was painted on a stairwell wall of Sieg Hall nearly a decade ago by a dozen first-year graduate students seeking diversion on the eve of the qualifying examination. The SPTM was originally conjured up a few years before this by Professor Alan Borning. Borning was undertaking a revision of the graduate program brochure. Professor Larry "Tomorrow" Ruzzo was late with his biographical information for the brochure real late. In desperation, Borning threatened to provide text himself if Ruzzo failed to come through. The threat didn't work, and when the printing deadline arrived, Borning followed through that year's graduate brochure carried the following description of Ruzzo's research interests: "Currently, his principal research project involves the construction and programming of a vaguely parallel computer, consisting of 32 steam-powered Turing machines installed in the basement of Sieg Hall. Of particular interest is the use of triple-expansion bypass valves, coupled to individual governors on each engine, to achieve write-synchronization of the machines. Graduate students have played an important role in the construction and operation of the engine, particularly in stoking the boilers, and advanced undergraduates are occasionally allowed to polish the brass gauges. "Originally intended as a general computing engine, restrictions imposed by the Pollution Control and Noise Abatement Boards require that only algorithms running in polynomial time may be used. The project recently suffered another setback when one of Professor Ruzzo's graduate students slipped on a mouldering stack of ungraded homework exercises and fell under the write head of one of the machines. Now permanently embossed with a series of 1's and 0's, the student is suing to have the machine dismantled."

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