|
| |
| | 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. |
|
http://en.wikipedia.org/wiki/Turing_completeness
(900 words)
|
|
| |
| | Turing machine - Wikipedia, the free encyclopedia |
| | Turing tarpit, any computing system or language which, despite possessing Turing completeness, is generally considered useless for practical computing. | | | Turing completeness, an attribute used in computability theory to describe computing systems with power equivalent to a universal Turing machine. | | | Anything a real computer can compute, a Turing machine can also compute. |
|
http://en.wikipedia.org/wiki/Turing_machine
(3442 words)
|
|
| |
| | BF is Turing-complete |
| | Turing Machine, a very simplistic computing model, which yet is powerfull enough to calculate all possible function which can be calculated. | | | A Universal Turing Machine (UTM) is a Turing machine that can simulate some Turing-complete computational model. | | | Show that there is a program in the language that emulates a Universal Turing Machine. |
|
http://www.iwriteiam.nl/Ha_bf_Turing.html
(1671 words)
|
|
| |
| | Turing - TheBestLinks.com - Alan Turing, Computer, Computer science, Church-Turing thesis, ... |
| | Turing machine and Turing completeness, an abstract model of computer execution and storage. | | | Turing, Alan Turing, Computer, Computer science, Church-Turing thesis, Nobel... | | | Turing - TheBestLinks.com - Alan Turing, Computer, Computer science, Church-Turing thesis,... |
|
http://www.thebestlinks.com/Turing.html
(137 words)
|
|
| |
| | A Simple Proof for the Turing-Completeness of XSLT and XQuery |
| | Since computation with Turing machines is the most powerful model of computation known to exist, Turing-completeness of a language basically means that everything that can be computed at all can be computed with implementations of the language. | | | It states that everything that can be computed with a Turing machine can be computed in that language or computational model. | | | Turing-completeness is a statement on the expressive power of a query language, a programming language, or an arbitrary computational model. |
|
http://www.mulberrytech.com/Extreme/Proceedings/html/2004/Kepser01/EML2004Kepser01.html
(6730 words)
|
|
| |
| | Computabilty and Completeness |
| | Within the classical framework, the most important limit on what can be computed by a Turing Machine is completeness, or halting, two manifestations of the same underlying structural feature of algorithmic computation. | | | The general problem of incompleteness, of which Gödel's (1931) famous theorem and Turing's (1936) halting problem are symptoms, is straightforward: within a formal system with a given algorithmic information content, we cannot prove any theorem with an information content exceeding that of the formal system by more than a fixed number of bits. | | | At the time, mathematics lacked many of today's standard tools, such as the general computing framework of Turing and Post, and as a result Gödel's proof was naturally arduous. |
|
http://www.mulhauser.net/research/tutorials/computability/completeness.html
(1180 words)
|
|
| |
| | 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. |
|
http://ptolemy.eecs.berkeley.edu/~eal/ee290n/lec18.scribe.html
(509 words)
|
|
| |
| | Preface |
| | 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. | | | 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. |
|
http://math-www.uni-paderborn.de/~pbuerg/agpb/publications/preface-habil.html
(840 words)
|
|
| |
| | The Origins of the Turing Thesis Myth Lambda the Ultimate |
| | 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. | | | 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). |
|
http://lambda-the-ultimate.org/node/view/203
(1644 words)
|
|
| |
| | Coherence Engine: June 2003 |
| | Turing didn't prove the universality of the Turing Machine; he proved that a) a single Universal Turing Machine can simulate all other Turing Machines and b) the Turing Machine model was equivalent to a number of mechanical algorithms for solving problems. | | | Now, again, this is not to dismiss the importance of the Turing Machine, its relevance as a model of computation, or the intellectual achievement of Alan Turing in showing the limits of mechanical, embodied, computation. | | | Even more provocatively, it's possible that a quantum computer could compute problems non-computable (obviously we are dancing dangerously here with the word "compute," however) by any Turing Machine. |
|
http://www.coherenceengine.com/blog/2003_06_01_archive.html
(4752 words)
|
|
| |
| | Comments on 14482 Ask MetaFilter |
| | The Church Thesis says that Turing machines can compute anything that can be computed, i.e. | | | If there were a computer program that could do something a Turing machine can't, it would mean that we're absolutely wrong about what our idea of "computable" is. No one has any idea of what such a theoretical capability could be, which is why it's generally accepted that computable = computable by a TM. | | | Now, the neat thing is that a Turing Machine is one of the things that can be "calculated", which is to say, a Turing Machine can be programmed to simulate a Turing Machine. |
|
http://ask.metafilter.com/mefi/14482
(2650 words)
|
|
| |
| | ILovePhilosophy.com Discussion Forums :: View topic - Snow Crash - 'Information Hygiene' |
| | There is much debate about whether a Quatum Turing computer is possible, if a quantum computer is Turing and what exactly is a quantum computer. | | | Turing completeness is the definition of a computer. | | | The fundamental thing about a quantum computer is that it is possible to solve problems on a QC that classical Turing ones can't. |
|
http://www.ilovephilosophy.com/phpbb/viewtopic.php?t=139373&start=40
(7158 words)
|
|
| |
| | Alan Turing - Uncyclopedia |
| | Alan Turing (1923-1949) was a pioneer computer scientist most famous for subtly weaving his deviant homosexual agenda into the basic tenets of computer science, the subliminal influence of which led to the high incidence of homosexuality among computer users that surged exponentially in the 1980s and '90s. | | | In his holy quest for a unified theory of computer science, Turing also developed a property called Turing completeness, which is the ability of a given machine or computer language to potentially execute any program imaginable, especially dating sims. | | | His tyrannical rule came to a screeching halt when he ate an Apple Computer, got a stomach ache, and exploded. |
|
http://uncyclopedia.org/wiki/Alan_Turing
(170 words)
|
|
| |
| | 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. | | | Completeness is the starting point for a programming language, not the conclusion. |
|
http://lambda-the-ultimate.org/classic/message12481.html
(1862 words)
|
|
| |
| | [No title] |
| | 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"). | | | This runs for 518 steps of the Turing machine, exercising all 23 Turing machine instructions, before halting with the output string a[1]. | | | If the input was a terminator, this puts us at the zero after the rightmost nonzero cell, and the input is already finished; then we scan left to the gap that represents the Turing machine head, and position the pointer at the state cell. |
|
http://www.hevanet.com/cristofd/brainfuck/utm.b
(1487 words)
|
|
| |
| | Turing tarpit - Esolang |
| | The pursuit of Turing tarpits in the esoteric programming language community, however, seems to be essentially for its own sake. | | | Beware of the Turing tar-pit in which everything is possible but nothing of interest is easy. | | | They also have applications in algorithmic complexity theory, in which systems such as binary combinatory logic have been employed. |
|
http://esoteric.voxelperfect.net/wiki/Turing_tarpit
(546 words)
|
|
| |
| | Complexity & Information Theory |
| | We define the algorithmic information content I(x) of an object (or bit string) x as the length of the shortest self delimiting program(s) for a Universal Turing Machine U which generates a description of that object for a given level of precision. | | | See the other short paper on classical computability, completeness, and halting. | | | One of many interesting features of algorithmic information theory is that it turns out that in the space of all possible strings, hardly any strings can actually be compressed at all. |
|
http://www.mulhauser.net/research/tutorials/complexity/complexity.html
(1531 words)
|
|
| |
| | 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). |
|
http://www.cs.rochester.edu/trs/theory-trs.html
(16132 words)
|
|
| |
| | Fm - Esolang |
| | 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. | | | For each m >= 2, Fm is a computational model based on editing a finite unbounded string on an alphabet of m letters. | | | All Fm languages are therefore Turing-complete, because they can easily simulate F2. |
|
http://esoteric.voxelperfect.net/wiki/Fm
(122 words)
|
|
| |
| | John Middlemas |
| | As I understand Turing machines (HTML analogy), you would mainly need the ability to automatically move data between pages, given that the HTML page is the building block (analogy with turing tape placeholder) of the system. | | | Also, you would need a simple bit of data processing in each page (analogy with turing program). | | | I don't think you need many extensions to get turing completeness. |
|
http://www.users.zetnet.co.uk/pld/web/624.htm
(695 words)
|
|
| |
| | 4.2 More than Complete |
| | Although the computation capabilities for computing the transitive closure of a binary relation are in principle present in OCL, here again a concept of tuple functions would have made the above algorithm considerably simpler. | | | The ability to compute transitive closures which enables recursion and/or nesting of relational algebra operations to express expressions of arbitrary complexity. | | | Cod72]) asserted the need for more than complete languages, providing tuple and aggregate functions. |
|
http://projekte.fast.de/Projekte/forsoft/ocl/4_2More_than_Complete.html
(1493 words)
|
|
| |
| | Fm Languages |
| | Such formal languages are in the spirit of Hao Wang's "program formulation" of Turing machines (1957), and are themselves abstract computational models. | | | [1] Bohm, C. On a family of Turing machines and the related programming language. | | | Fm also allows empty programs (having no instructions), and empty tapes (having no tape-cells). |
|
http://r.s.home.mindspring.com/F
(1108 words)
|
|
| |
| | Turing completion without semicolons? - dBforums |
| | C could be Turing complete if you can have arbitrary large files. | | | limits and are also useless in trying to simulate a Turing machine. | | | fixed definition and many programming languages are Turing complete. |
|
http://www.dbforums.com/t706153.html
(1207 words)
|
|
| |
| | ILovePhilosophy.com Discussion Forums :: View topic - Snow Crash - 'Information Hygiene' |
| | I also object to your infinity qualification, we are a finite system capable of concieving the infinite, just because software engineers haven't been able to make commputers able to realise the infinite doesn't mean that a finite system made up of software and hardware won't be able to in time. | | | Artificial Intellegence is not the art of making a computer intellegent, it's the art of making a computer APPEAR intellegent (see: Eliza machine). |
|
http://www.ilovephilosophy.com/phpbb/viewtopic.php?t=139373&start=40
(6132 words)
|
|
| |
| | Literature Review: Nature Refutes ID?: The Evolutionary Origin of Complex Features |
| | 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. | | | An evolving system could be designed with a set of building blocks and an environment conducive to building mousetraps. | | | Another might be "combine parts x and y". |
|
http://www.iscid.org/boards/ubb-get_topic-f-18-t-000001-p-17.html
(4075 words)
|
|
| |
| | Abiogenesis and information growth in simulations: what does it mean? - GreyThumb.Blog |
| | Those programs are encoded in very brittle instruction sets that were deliberately designed by human beings to run perfectly when correct and to break neatly and completely when altered. | | | For example, simulated abiogenesis and evolutionary information growth will probably never happen with the programs on your hard drive. | | | Thus, the universe contains all the other Turing-machines that we know about including our computers and the artificial life systems that can run inside them. |
|
http://www.greythumb.org/blog/index.php?/archives/66-Abiogenesis-and-information-growth-in-simulations-what-does-it-mean.html
(2382 words)
|
|
| |
| | Guile Mailing List Archive: Re: turing completeness |
| | Something that can compute all functions that a universal Turing machine can. | | | Equivalently, a language which can express a program that can compute any | | | This has nothing to do with guile, of course. |
|
http://www.red-bean.com/guile/guile/old/2373.html
(148 words)
|
|
| |
| | Computer - Free Encyclopedia |
| | This "general-purpose" definition can be formalised into a requirement that a certain machine must be able to emulate the behaviour of a universal Turing machine. | | | In some sense, then, this threshold capability is a useful test for identifying "general-purpose" computers from earlier special-purpose devices. | | | Machines meeting this definition are referred to as Turing-complete. |
|
http://www.wacklepedia.com/c/co/computer.html
(1920 words)
|
|
| |
| | Turing Machine |
| | The instructions for the Turing machine are similarly represented also. | | | At each level of the tree there are one symbol and reference to other part of the tape. | | | Doubling of quantity of units on the tape. |
|
http://www.dpawson.co.uk/xsl/sect4/turing.html
(183 words)
|
|
| |
| | Some Advantages of the ADATE System |
| | In theory, any algorithm can be produced by ADATE given sufficiently much CPU time. | | | ADATE can produce general algorithms from few sample inputs. | | | ADATE uses general recursion to achieve Turing completeness. |
|
http://alife.ccp14.ac.uk/adate/~rolando/qualities.html
(179 words)
|
|
| |
| | The Turing-Completeness of Multimodal Categorial Grammars - Carpenter (ResearchIndex) |
| | In this paper, we show that any computable grammar can be coded as a multimodal categorial... | | | free base and allows an individual grammar to contain packages of structural rules which can increase power up to Turing complete | | | CTL thus cannot be accused of expressive inadequacy; however, this expressive power puts it at odds with CCG s conservatism (also shared... |
|
http://citeseer.ist.psu.edu/194254.html
(507 words)
|
|
| |
| | [No title] |
| | How can one modify Benioff's definition of quantum turing machine to make it better posed, especially with respect to the halting problem? | | | What do Post's problem and other contrived languages mean for computers? | | | Show that three degrees of freedom of a dynamical system are enough to give it Turing completeness. |
|
http://www.media.mit.edu/physics/pedagogy/babbage/archives/3.txt
(1635 words)
|
|
| |
| | ScienceDaily: Computer |
| | Through arrangements of logic gates, one can build digital circuits to do more complex tasks, for instance, an adder, which implements in electronics the same method — in computer terminology, an algorithm — to add two numbers together that children are taught — add one column at a time, and carry what's left over. | | | Eventually, through combining circuits together, a complete ALU and control system can be built up. | | | This does require a considerable number of components. |
|
http://www.sciencedaily.com/encyclopedia/computer
(5701 words)
|
|
| |
| | [No title] |
| | Among the concepts to be explored are: computable functions, the Halting Problem, many-one reducibility, recursive enumerability, Turing oracles, Turing reducibility, Turing degrees, Turing completeness, the arithmetical hierarchy, relativization, the Turing jump operator, basis theorems, mass problems, weak reducibility and weak degrees (a.k.a., Muchnik reducibility and Muchnik degrees). | | | In addition, we shall mention connections with other topics in mathematical logic, such as undecidability and representability. | | | The purpose of this series of talks is to provide an introduction to the subject. |
|
http://www.math.psu.edu/simpson/logic/seminar/051018.html
(79 words)
|
|
| |
| | [No title] |
| | You can make closures, like in functional languages. | | | You can make code fragments that are elegantly linked together into complete algorithms at compile time. | | | You can make generic code that's independent of the underlying datatype. |
|
http://homepage.mac.com/sigfpe/Computing/peano.html
(778 words)
|
|
| |
| | [No title] |
| | Thus, Turing-completeness comes from the semantics of the language and environmental completeness from its pragmatics. | | | For the self-interpreter implementation we have chosen the brainfuck language as a basis. | | | This property forms a distinction between languages: some languages are environmentally complete, while others are not. |
|
http://www.hevanet.com/cristofd/08.html
(4551 words)
|
|
| |
| | blarg?: Linguisticism |
| | That's why we actually have different languages - because once you've gotten past the trivialities, it's an awful lot easier to express some things in one language than another. | | | The thing is, Turing-completeness (and, I think, completeness proofs in general) makes no mention of how hard or how easy that mapping will be on the programmer. | | | I think it's a strong argument, too; if a language is Turing-complete, then in principle anything that you can express in one language you can express in another. |
|
http://neon.polkaroo.net/~mhoye/blarg/archives/001782.php
(1127 words)
|
|
| |
| | Guile Mailing List Archive: Re: turing completeness |
| | Are you referring to the fact that a Scheme program can do all | | | that "any hunk of metal is equivalent to a turing machine". | | | There is a famous statement known as "Sussman's theorem" which states |
|
http://www.red-bean.com/guile/guile/old/2372.html
(136 words)
|
|
| |
| | molar.is: COMPOSE_MAIL > Bjarni R. Einarsson (34952@xyz.molar.is) |
| | > That would probably make the configuration file language > turing complete, too... | | | It might be nice > to have a goto:N policy which would skip to the N'th rule. | | | Who cares, turing completeness is cool, I'll > probably add that next time I have time. |
|
http://mailtools.anomy.net/archives/anomy-list/2002-02/semja.cgi?TO=34952@xyz.molar.is&ID=20020207203202.E30078@klaki.net
(370 words)
|
|
| |
| | CS 3510 Design and Analysis of Algorithms |
| | It will cover Turing machines, undecidability, complexity, and NP-completeness. | | | Programming Assignment 3 will be on SAT solving. | | | Mon, Mar 14 to Fri, Mar 18, and |
|
http://www.cc.gatech.edu/computing/classes/AY2005/cs3510_spring/lectures.html
(137 words)
|
|
| |
| | ECCC Report TR01-032 and related Papers |
| | We provide fairly thorough analyses of the hypotheses that we introduce. | | | Abstract: We use hypotheses of structural complexity theory to separate various NP-completeness notions. | | | In particular, we introduce an hypothesis from which we describe a set in NP that is Turing complete but not truth-table complete. |
|
http://eccc.hpi-web.de/eccc-reports/2001/TR01-032
(96 words)
|
|
| |
| | Scheme Macro Programming |
| | The article shows more examples as well as the complete implementation of | | | As an example, the code implements and tests two particular Turing machines: the addition of natural numbers (in unary) and a decision machine. | | | And yet, such a macro system is Turing complete: we can write a Turing machine with the restricted R5RS macros. |
|
http://okmij.org/ftp/Scheme/macros.html#Macro-CPS-programming
(4190 words)
|
|
| |
| | Thursday - 5 August |
| | Key new aspects of the system include support of multiple schema languages; facilities for interoperability with other ontologies and vocabularies; and facilities for user customization and modularization (including a new web-based tool for schema generation). | | | The Text Encoding Initiative is using literate schema design, as instantiated in the completely redesigned ODD system, for production of the next edition of the TEI Guidelines. | | | Relaxing with Son of ODD, or What the TEI did Next |
|
http://www.extrememarkup.com/extreme/2004/thursday.asp
(1500 words)
|
|
| |
| | EECS290n Lecture 16 Notes |
| | Turing-complete: having the same expressiveness as a Turing Machine |
|
http://ptolemy.eecs.berkeley.edu/~eal/ee290n/lec16/lec16.html
(690 words)
|
|
| |
| | [No title] |
| | We will model Turing ; machine's tape by two lists. | | | ; ; For example, a pair of lists ; (2 1 #f) (3) ; stands for a Turing machine configuration with a tape ; containing a blank, followed by a symbol '1' then symbol '2' and then ; symbol '3'. | | | We will never write out this tail of blanks explicitly; ; rather we will assume that there is always a blank cell after the ; right end of every finite string under re-writing. |
|
http://okmij.org/ftp/Scheme/turing-completeness-limited-macros.scm
(509 words)
|
|
| |
| | [No title] |
| | Continuations are a powerful feature of programming languages such as Scheme. | | | If C++ compilers are Turing complete you can implement a language with them. |
|
http://homepage.mac.com/sigfpe/Computing
(103 words)
|
|
| |
| | miscoranda - Turing Completeness in the Oddest Places |
| | Of the three systems mentioned above, Befunge is probably the easiest to implement in a high-level langauge such as Python—but just imagine what it would be like to implement in CL. A while ago, I proposed that a near-optimal test of programming insanity would be to implement XSLT in Befunge in CL. | | | Turing Machine in CL, which made me chuckle for most of the day after finding it. | | | miscoranda - Turing Completeness in the Oddest Places |
|
http://miscoranda.com/20
(96 words)
|
|
| |
| | [No title] |
| | If you did not discuss the goals, the instructor will evaluate the quality based on the instructor's expectation based on your topic. | | | You must have numbered sections, and each section must have a clear message. | | | Quality [6pts]: Full credit if the instructor confirms that you complete the goals discussed with the instructor. |
|
http://www.tcnj.edu/~komagata/cmsc485/03s/exams/final-substitution.html
(853 words)
|
|
|
