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| Â | Turing completeness - Wikipedia, the free encyclopedia |
 | | In computability theory, an abstract machine or programming language is called Turing complete, Turing equivalent, or (computationally) universal if it has a computational power equivalent to a universal Turing machine (a simplified model of a programmable computer). | | | The computational systems (algebras, calculi) that are discussed as Turing complete systems are those intended for studying theoretical computer science. | | | Turing completeness is significant in that every plausible design for a computing device so far advanced can be emulated by a universal Turing machine. |
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http://en.wikipedia.org/wiki/Turing_completeness
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| Â | Universal Turing Machine in XSLT |
| | Thus, this stylesheet is a Universal Turing Machine and is an existence proof that XSLT 1.0 is Turing complete. | | | The Turing machine moves its tape head one symbol to the left or to the right, or does not move the tape head, depending on the value of the 'movement' attribute that is returned by the transition function. | | | The source document, which specifies a Turing machine, is an XML document that conforms to the Turing Machine Markup Language (TMML). |
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http://www.unidex.com/turing/utm.htm
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| Â | EECS290n Lecture 17 Notes |
| | If a model of computation is Turing complete, then the halting problem is indecidable. | | | A model of computation is "Turing complete", if it can simulate any arbitrary Turing machine. | | | A Kahn-McQueen network therefore is Turing Complete, the halting problem (the deadlock problem) is not decidable for the whole class. |
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http://ptolemy.eecs.berkeley.edu/~eal/ee290n/lec18.scribe.html
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| Â | BF is Turing-complete |
| | A Universal Turing Machine (UTM) is a Turing machine that can simulate some Turing-complete computational model. | | | By giving a BF program which simulates a particular UTM, we proof that BF is Turing-complete. | | | We can proof that BF is Turing-complete, if we can show for every possible Turing machine, there is an equivalent BF program. |
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http://www.iwriteiam.nl/Ha_bf_Turing.html
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| Â | Turing machine - Wikipedia, the free encyclopedia |
| | A complete list of the smallest known universal Turing machines is: 2×18, 3×10, 4×6, 5×5, 7×4, 10×3, 22×2. | | | The Turing machine is an abstract model of computer execution and storage introduced in 1936 by Alan Turing to give a mathematically precise definition of algorithm or 'mechanical procedure'. | | | Turing machines can describe algorithms at once over all machines, regardless of how much memory they have; there is a maximum to the amount of memory any machine has now, but this limit can rise arbitrarily in time. |
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http://www.wikipedia.org/wiki/Turing_machine
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| Â | Comments on 14482 Ask MetaFilter |
| | Oh, and by the way, Postscript and TeX are both turing complete, in case someone wants to use text formatting languages to solve the worlds problems. | | | this is what i was thinking of, and it's not turing completeness, but first class functions. | | | so given that someone has proven that lambda calculus ("functions", or the functional part of scheme/lisp) is turing complete, and you want to show that language X is turing complete, you can just show that X is equivalent to lambda calculus. |
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http://ask.metafilter.com/mefi/14482
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| Â | CONK! Encyclopedia: Turing_machine |
| | Turing tarpit, any computing system or language which, like the Turing machine, is not only Turing-complete but also useless for practical computing. | | | Anything a real computer can compute, a Turing machine can also compute. | | | C++ Simulator of a Nondeterministic and Deterministic Multitape Turing Machine (free software). |
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http://www.conk.com/search/encyclopedia.cgi?q=Turing_machine
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| Â | Turing completeness - Wikipedia, the free encyclopedia |
| | In computability theory, an abstract machine or programming language is called Turing-complete, Turing-equivalent, or (computationally) universal if it has a computational power equivalent to a universal Turing machine (a simplified model of a programmable computer). | | | Turing completeness is significant in that every plausible design for a computing device so far advanced can be emulated by a universal Turing machine. | | | The computational systems (algebras, calculi) that are discussed as Turing complete systems are those intended for studying theoretical computer science. |
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http://en.wikipedia.org/wiki/Turing_completeness
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| Â | BF is Turing-complete |
| | A Universal Turing Machine (UTM) is a Turing machine that can simulate some Turing-complete computational model. | | | We can proof that BF is Turing-complete, if we can show for every possible Turing machine, there is an equivalent BF program. | | | Turing Machine, a very simplistic computing model, which yet is powerfull enough to calculate all possible function which can be calculated. |
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http://home.wxs.nl/~faase009/Ha_bf_Turing.html
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| Â | utm.b |
| | Daniel B Cristofani (cristofdathevanetdotcom) http://www.hevanet.com/cristofd/brainfuck/ This Turing machine achieves Turing-completeness not by simulating other Turing machines directly, but by simulating a Turing-complete class of tag-systems (a computational model invented by Emil Post and named after the children's game "tag"). | | | Thus, a very direct proof that brainfuck is Turing-complete. | | | This runs for 518 steps of the Turing machine, exercising all 23 Turing machine instructions, before halting with the output string a[1]. |
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http://www.hevanet.com/cristofd/brainfuck/utm.b
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| Â | Turing completeness - Wikipedia, the free encyclopedia |
| | Turing completeness is significant in that every plausible design for a computing device so far advanced (even quantum computers) can be emulated by a universal Turing machine. | | | In computability theory a programming language or any other logical system is called Turing-complete if it has a computational power equivalent to a universal Turing machine. | | | While such machines may be physically impossible as they require unlimited storage, Turing completeness is often loosely attributed to physical machines or programming languages that would be universal if they had indefinitely enlargeable storage. |
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http://en.wikipedia.org/wiki/Turing_complete
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| Â | Alan Turing |
| | Turing machines, like computer programs, are countable; indeed they can be ordered in a complete list by a kind of alphabetical ordering of their ‘tables of behaviour’. | | | Turing rapidly composed a detailed plan for a modern stored-program computer: that is, a computer in which data and instructions are stored and manipulated alike. | | | Turing's motivations were scientific rather than industrial or commercial, and he soon returned to the theoretical limitations of computation, this time focussing on the comparison of the power of computation and the power of the human brain. |
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http://plato.stanford.edu/entries/turing
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| Â | Turing completion without semicolons? - dBforums |
| | C could be Turing complete if you can have arbitrary large files. | | | fixed definition and many programming languages are Turing complete. | | | > QED, the Universe is /not/ Turing complete. |
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http://www.dbforums.com/t706153.html
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| Â | Turing |
| | Turing tarpit A Turing tarpit is a Turing-complete while minimizing the number of distinct instructions. | | | A recursively enumerable Turing degree (computably enumerable Turing... | | | Super-Turing computation Super-Turing computation is any form of computation that cannot be performed by a finite Turing... |
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http://www.brainyencyclopedia.com/topics/turing.html
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| Â | Turing tarpit - Wikipedia, the free encyclopedia |
| | A Turing tarpit is a programming language designed to be Turing-complete while in some sense simplifying to the greatest extent possible both the syntax and the semantics of the language. | | | Beware of the Turing tar-pit in which everything is possible but nothing of interest is easy. | | | The phrase the Turing tarpit is also heard occasionally in arguments between proponents of two or more different programming languages each claiming their language is better than the other(s). |
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http://en.wikipedia.org/wiki/Turing_tarpit
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| Â | Preface |
| | While the part of his theory based on the Turing approach (#P-completeness) is now standard and well-known among the theoretical computer science community, his algebraic completeness result for the permanents received much less attention. | | | This discrete theory is based on the Turing machine model and achieves a classification of discrete computational problems according to their algorithmic difficulty. | | | Turing machines formalize algorithms which operate on finite strings of symbols over a finite alphabet. |
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http://math-www.uni-paderborn.de/~pbuerg/agpb/publications/preface-habil.html
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| Â | The Origins of the Turing Thesis Myth Lambda the Ultimate |
| | Most of practical PLs are "Turing complete" (can compute any "compute" function), but are not limited to just functions (mostly because of their support for interaction). | | | After all, if one goes back to the definition of the Turing machine, its computation is nothing more than a series of lookups in a transition table, and it could be viewed as a sequence of computations by a finite automaton. | | | Turing Thesis: Whenever there is an effective method (algorithm) for obtaining the values of a mathematical function, the function can be computed by a TM. |
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http://lambda-the-ultimate.org/node/view/203
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| Â | Esoteric programming language - Wikipedia, the free encyclopedia |
| | Turing completeness is a favorite topic of discussion, since it is not immediately obvious whether or not a language is Turing complete, and it often takes rather large intuitive leaps to come to a solution. | | | A despotic language is a Turing tarpit with a stateful encoding, namely a language in which commands are used to select from a finite range of operations and apply these operations to the current state of the program. | | | Most languages are deterministic, as nondeterministic languages such as Java2K often give unreliable results, and getting even trivial programs to have a reliable output is often a monumental task. |
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http://en.wikipedia.org/wiki/Esoteric_programming_language
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| Â | Brainfuck @ <?php /* Gi-Go */ ?> |
| | It is also a Turing tarpit, ie a programming language designed to be Turing-complete while minimizing the number of distinct instructions (8 commands in that case, all with 0 operands). | | | A programming language is said to be Turing-complete if it has computational power equivalent to a universal Turing machine. | | | Unlike a Turing machine, brainfuck doesn't have a read/write head or a tape. |
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http://alx2002.free.fr/esoterism/brainfuck/brainfuck_en.html
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| Â | Iota and Jot - encyclopedia article about Iota and Jot. |
| | Iota and its successor Jot are Turing tarpits A Turing tarpit is a programming language designed to be Turing-complete while in some sense simplifying to the greatest possible extreme both the syntax and semantics of the language. | | | Such languages give up certain practical goals (such as ease of coding, performance, etc.) in favor of others (e.g., proving non-computability of certain functions, illustrating basic principles of programming, providing simple bases for computational models, etc.), and are thus of interest in theoretical computer science. |
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http://encyclopedia.thefreedictionary.com/Iota%20and%20Jot
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| Â | Fm - Esolang |
| | All Fm languages are therefore Turing-complete, because they can easily simulate F2. | | | F2 has been proved Turing-complete without reference to the Turing completeness of other Brainfuck languages, by directly simulating a universal tag system in F2 -- see the external resource below. | | | It is derived from Brainfuck in the spirit of the Wang program formulation of Turing machines, by using only the five instructions '+' '<' '>' '[' ']' and by applying a cyclic ordering to the alphabet, with '+' changing a letter to the next letter in cyclic order. |
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http://esoteric.voxelperfect.net/wiki/Fm
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| Â | 4.2 More than Complete |
| | Cod72]) asserted the need for more than complete languages, providing tuple and aggregate functions. | | | Some languages are more than complete even after eliminating the arithmetic and aggregate functions. | | | In language implementations, the following two operations are needed to assure relational completeness: |
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http://projekte.fast.de/Projekte/forsoft/ocl/4_2More_than_Complete.html
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| Â | ILovePhilosophy.com Discussion Forums :: View topic - Snow Crash - 'Information Hygiene' |
| | Computers are turing complete, but do not possess the idea of the infinite...and cannot by virtue of turing completeness. | | | Look up what it means to be Turing complete and what a simple Turing machine is. Then try and apply that to infinity. | | | The Mill example was not mine, it was Leibnez's and that was before Turing, it was merely meant to highlight my point that the seemingly impossible is in fact highly probable. |
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http://www.ilovephilosophy.com/phpbb/viewtopic.php?t=139373&start=40
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| Â | LtU Classic Archives |
| | Turing completeness is oriented towards functions from input to output, while more or less ignoring interaction, time, trust, fairness. | | | However, broadly interpreted Turing-completeness doesn't have anything to do with Turing machines, but rather computability itself, and so we are not talking only about a translation to Turing machines, but also anything else, like the untyped lambda-calculus or Milner's pi-calculus, which has the same computational power. | | | Marc Hamann - Re: Turing completeness is not? |
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http://lambda-the-ultimate.org/classic/message12481.html
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| Â | Literature Review: Nature Refutes ID?: The Evolutionary Origin of Complex Features |
| | If it is Turing complete then it could have generated in principle the phrase. | | | After reading GP's post, and after some more thought, I agree that the flexibility of the Lenski system (Turing complete) is indeed a strong point, and is not a "red herring". | | | But if Avida is demonstrably a universal Turing machine, then the set of computable algorithms that can be implemented is large -- so large that any specificity claims about the instruction set is rather unbelievable. |
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http://www.iscid.org/boards/ubb-get_topic-f-18-t-000001-p-17.html
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| Â | Comments on 14482 Ask MetaFilter |
| | Simply: a programming language is considered Turing-complete if it can emulate a Turing machine, and a Turing machine can emulate that language. | | | To say that a language is Turing-complete is not to say that it implements these basic functions of some historical computer, but rather that it meets an arbitrary set of requirements that computer scientists call "Turing machines". | | | The Church Thesis says that Turing machines can compute anything that can be computed, i.e. |
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http://ask.metafilter.com/mefi/14482
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| Â | URCS Theory Technical Reports |
| | Complete characterizations in terms of well-known complexity classes are given for the classes of languages recognized by polynom | | | Keywords: computational complexity; space complexity; probabilistic Turing machine; nodeterministic Turing machine; multihead finite automaton. | | | These are Turing reductions in which the sequence of query lengths is nonincreasing (nondecreasing). |
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http://www.cs.rochester.edu/trs/theory-trs.html
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| Â | Expressing Turing Machines as Rewrite Rules |
| | Recall that the complete state of a Turing machine consists of a control state, a tape, and a head position. | | | Here we show how Turing machine computations can be expressed in terms of rex rules. | | | We must first show how the state of a Turing machine will be encoded. |
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http://www.cs.hmc.edu/claremont/keller/webBook/ch06/sec07.html
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