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Topic: Nondeterministic Turing machine

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	Non-deterministic Turing machine - Wikipedia, the free encyclopedia
		An ordinary (deterministic) Turing machine (DTM) has a transition function that, for a given state and symbol under the tape head, specifies three things: the symbol to be written to the tape, the direction (left or right) in which the head should move, and the subsequent state of the finite control.
		In conventional Turing machines, the transition function is not multi-valued.
		But any language recognized by a NTM can also be recognized by a DTM: the DTM can simulate each transition of the NTM, making multiple copies of the simulated state when multiple transitions are possible, and simulating them all in parallel, not unlike processes in a multitasking operating system.
	en.wikipedia.org /wiki/Nondeterministic_Turing_machine (723 words)

	Turing machine - Wikipedia, the free encyclopedia
		Turing machines are extremely basic symbol-manipulating devices which — despite their simplicity — can be adapted to simulate the logic of any computer that could possibly be constructed.
		The thesis states that Turing machines indeed capture the informal notion of effective method in logic and mathematics, and provide a precise definition of an algorithm or 'mechanical procedure'.
		The concept of the Turing machine is based on the idea of a person executing a well-defined procedure by changing the contents of an unlimited paper tape, which is divided into squares that can contain one of a finite set of symbols.
	en.wikipedia.org /wiki/Turing_machine (4000 words)

	CSC 4170 Variations on Turing Machines II (Site not responding. Last check: 2007-11-01)
		Variations on Turing Machines II A Turing machine may have a semi-infinite tape; the nonblank input is at the extreme left end of the tape.
		Turing machines with semi-infinite tape are equivalent to standard Turing machines.
		A nondeterministic Turing machine is one in which the dfa controlling the tape is replaced with an nfa.
	www.seas.upenn.edu /~cit596/notes/dave/utm2.html (125 words)

	Turing Machines (Site not responding. Last check: 2007-11-01)
		The Turning machine was proposed to formalize the intuitive notion of an algorithm by Alan Turing in 1936.
		A Universal Turing Machine is then a Turing machine that has on its input tape a definition of some Turing machine and a string.
		A Quantum Turing Machine, as defined by Bernstein and Vazirani, is a triplet (Sigma, Q, delta), where Sigma is a finite alphabet with an identified blank symbol #, Q is a finite set of states with an identified initial state q
	cs.wwc.edu /~aabyan/Logic/turingMachine.html (881 words)

	RL - Biocrawler (Site not responding. Last check: 2007-11-01)
		In computational complexity theory, RL is the complexity class of problems solvable in logarithmithic space with probabilistic Turing machines that never accept incorrectly but are allowed to reject incorrectly less than 1/3 of the time; this is called one-sided error.
		It is known that RL, with this definition, is equal to both NL, the class of problems solvable using a nondeterministic Turing machine in log space, and ZPL, the class of randomized algorithms that commit no error and run in log space on average.
		Notice that RL, unlike its deterministic counterpart L, is not limited to polynomial time, because although it has a polynomial number of configurations it can use randomness to escape an infinite loop.
	www.biocrawler.com /encyclopedia/RL (479 words)

	[No title]
		Turing Machine Extensions In fact, there are lots of extensions we can make to our basic Turing machine model.
		They may make it easier to write Turing machine programs, but none of them increase the power of the Turing machine because: We can show that every extended machine has an equivalent basic machine.
		Furthermore, the number of steps it takes a standard machine is bounded by a polynomial in the number of steps it takes a random access machine.
	www.cs.utexas.edu /users/cline/ear/Slides/Turing/TuringSlides2.doc (605 words)

	C++ Simulator of a Turing Machine
		Hi, (Upgraded) C++ Simulator of a Turing Machine can be downloaded at : * http://alexvn.freeservers.com/s1/turing.html * http://sourceforge.net/projects/turing-machine/ The program simulates Deterministic and Nondeterministic Multitape Turing Machine (TM).
		A simulated Turing machine is defined by the set of setup files and data : * description file (optional), * number of tapes, * state file, * alphabet file, * transition file, * file(s) of input word(s).
		The following demo Turing machines are demonstrated with using the C++ Simulator : 1.
	semillon.wpi.edu /~aofa/AofA/msg00020.html (206 words)

	Turing machine (Site not responding. Last check: 2007-11-01)
		Definition: A model of computation consisting of a finite state machine controller, a read-write head, and an unbounded sequential tape.
		Depending on the current state and symbol read on the tape, the machine can change its state and move the head to the left or right.
		Unless otherwise specified, a Turing machine is deterministic.
	www.nist.gov /dads/HTML/turingMachine.html (196 words)

	Lecture 19: November 11, 2004
		We can construct a Turing machine that takes as input a specification of another Turing machine M and an input x, and simulates the behavior of M on x.
		A nondeterministic Turing machine can have moves in which it can make a choice of next move.
		Nondeterministic Turing machines are no more powerful than deterministic Turing machines.
	www1.cs.columbia.edu /~aho/cs1004/lectures/04-11-11.html (309 words)

	nondeterministic Turing machine (Site not responding. Last check: 2007-11-01)
		Definition: A Turing machine which has more than one next state for some combinations of contents of the current cell and current state.
		See also alternating Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine.
		Note: A nondeterministic Turing machine is a probabilistic Turing machine ignoring the probabilities.
	www.nist.gov /dads/HTML/nondetermTuringMach.html (159 words)

	CSCI546+646: Programming and Extending Turing Machines
		The machine has choices in some states and with some symbols: there is at least one pair of state>
		Based on the boxed note on p339, an infinite number of accepted inputs can exist for a given turing machine and therefore the set of possible positions for the head is infinite.
		PDA::="Push down Automata", a machine with a finite control and a single stack for remembering intermediate data.
	www.csci.csusb.edu /dick/cs546/06.html (1911 words)

	nondeterministic polynomial time from FOLDOC (Site not responding. Last check: 2007-11-01)
		(NP) A set or property of computational decision problems solvable by a nondeterministic Turing Machine in a number of steps that is a polynomial function of the size of the input.
		The word "nondeterministic" suggests a method of generating potential solutions using some form of nondeterminism or "trial and error".
		NP is obviously a superset of P (polynomial time problems solvable by a deterministic Turing Machine in polynomial time) since a deterministic algorithm can be considered as a degenerate form of nondeterministic algorithm.
	ftp.sunet.se /foldoc/foldoc.cgi?nondeterministic+polynomial+time (197 words)

	C++ Simulator of a Turing Machine - Summary [Savannah]
		C++ Simulator of a Turing Machine - Summary
		A simulated Turing machine is defined by the set of setup files and data :
		Set of simulated Turing machines is defined by a metafile.
	savannah.nongnu.org /projects/turing-mach (744 words)

	Turing Machine - OneLook Dictionary Search
		Turing machine : The American Heritage® Dictionary of the English Language [home, info]
		Turing machine : Dictionary of Algorithms and Data Structures [home, info]
		Phrases that include Turing Machine: non-deterministic turing machine, non deterministic turing machine, nondeterministic turing machine, alternating turing machine, deterministic turing machine, more...
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=Turing+Machine (247 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		Hence, lifeforms ought, at least in principle, to be capable of large Turing universal computations.
		In fact it may be that the RNA editing machines in {\it T.Brucei} and other lifeforms are clonable, extractible and runnable in vitro, in which case one might get a far better performing Turing machine than all constructions so far, including our own.
		The fact that RNA editing {\it is} a Turing machine may in turn have a lot to do with the origins of life.
	www.math.temple.edu /~wds/homepage/dnaarticle.abstract (341 words)

	alternating Turing machine (Site not responding. Last check: 2007-11-01)
		Definition: A nondeterministic Turing machine having universal states, from which the machine accepts only if all possible moves out of that state lead to acceptance.
		See also model of computation, nondeterministic Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine.
		Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "alternating Turing machine", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.itl.nist.gov /div897/sqg/dads/HTML/alternatngTr.html (141 words)

	CS200: Notes 19 April 2004 (Site not responding. Last check: 2007-11-01)
		Is a nondeterministic finite state machine more powerful than a finite state machine?
		Is a nondeterministic Turing Machine more powerful than a deterministic (regular) Turing Machine?
		Is a nondeterministic Turing Machine faster than a deterministic (regular) Turing Machine?
	www.cs.virginia.edu /cs200/lectures/notes37.html (220 words)

	CMPSCI 601 Homework #2, Spring 2003
		(b,5) Let N be any nondeterministic Turing machine that is guaranteed to eventually halt on any input and on any computation path.
		When it halts, it either accepts or rejects, and L(N) is the set of strings for which it has at least one accepting path.
		That is, prove that it is r.e., and that some r.e.-complete language is reducible to it.
	www.cs.umass.edu /~barrington/cs601s03/hw/2.html (889 words)

	CMSC 451 Simulators
		The C++ source code is ntm.cpp Sample input is exntm.ntm Sample output is exntm.chk command line: ntm
		The only additional feature of NTM is that nondeterministic transitions are allowed.
		The only additional feature of NFA is that nondeterministic transitions are allowed.
	www.csee.umbc.edu /~squire/cs451_sim.html (821 words)

	[No title]
		Traditional answer: A polynomial time algorithm is one that can be executed by a standard (deterministic) Turing machine in polynomial time, proportional to the size of the input.
		Easier to understand answer: A polynomial time algorithm is one in which the worst case running time is O(nk) where n is the input size and k is a constant.
		For any given NP problem, a nondeterministic Turing machine can solve it in polynomial time, but no known deterministic Turing machine can.
	www.cse.msstate.edu /~cse4833/spring06/Ch34.ppt (1183 words)

	A Logical Characterisation of Linear Time on Nondeterministic Turing Machines (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		The paper gives a logical characterisation of the class NTIME(n) of problems that can be solved on a nondeterministic Turing machine in linear time.
		4 Two tapes versus one for off--line turing machines (context) - Maass, Schnitger et al.
	citeseer.ist.psu.edu /222477.html (378 words)

	Citebase - Formalization of the class of problems solvable by a nondeterministic Turing machine (Site not responding. Last check: 2007-11-01)
		Citebase - Formalization of the class of problems solvable by a nondeterministic Turing machine
		Formalization of the class of problems solvable by a nondeterministic Turing machine
		Authors: Plotnikov, Anatoly D. The objective of this article is to formalize the definition of NP problems.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:cs/9903012 (238 words)

	Comp.compilers: C++ Simulator of a Nondeterministic Turing Machine
		Comp.compilers: C++ Simulator of a Nondeterministic Turing Machine
		C++ Simulator of a Nondeterministic Turing Machine alexvn@bigfoot.com (Alex Vinokur) (2003-11-21)
		The Simulators contain examples of Turing Machines as well.
	compilers.iecc.com /comparch/article/03-11-072 (87 words)

	SourceForge.net: Turing and Post Machines: C++ Simulators
		The C++-programs simulate : Nondeterministic/Deterministic Multitape Turing and Post Machines, Universal Turing Machine, Turing Machine with faults, failures and recovery.
		Universal Turing Machine (C++ Simulator) : Release 1.0
		Turing Machine with faults (C++ Simulator) : Release 1.0
	sourceforge.net /projects/turing-machine (169 words)

	Turing Machine (C++ Simulator)
		The program simulates Deterministic and Nondeterministic Multitape TM.
		A Turing Machine with faults, failures and recovery
		%turing.exe See results in Log File (for Deterministic Turing Machine).
	alexvn.freeservers.com /s1/turing.html (176 words)

	Journal of the ACM Bibliography (Site not responding. Last check: 2007-11-01)
		Additional Key Words and Phrases: Turing machine, computational complexity, tape complexity, off-line Turing machine, on-line Turing machine, nondeterministic Turing machine, transition matrix
		Remarks on the complexity of nondeterministic counter languages.
		Two-dimensional alternating Turing machines with only universal states.
	theory.lcs.mit.edu /~jacm/References/hopcroftu1969:168.html (97 words)

	A straightforward proof of Köbler-Messner's result (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		By NP co-NP-machine we mean a Turing machine which can be obtained by combining into one machine two polynomial time clocked nondeterministic Turing machines which accept complementary languages.
		A polynomial time clocked nondeterministic Turing machine M is a NP co-NP-machine if and only if for any x S *, M behaves well on input x and for any n, M is n-consistent.
		Let us define L S * in the following...
	citeseer.ist.psu.edu /242754.html (289 words)

	Deterministic Turing Machine Decider - GameDev.Net Discussion Forums (Site not responding. Last check: 2007-11-01)
		Deterministic Turing Machine Decider - GameDev.Net Discussion Forums
		Home » Community » Forums » GDNet Lounge » Deterministic Turing Machine Decider
		If I were to say let N be a nondeterministic turing machine decider and the running time of N is f:N?N, what the hell does the "?" mean in that phrase?
	www.gamedev.net /community/forums/topic.asp?topic_id=155774 (130 words)

	Computer Glossary : software hardware Internet Intranet network software multimedia 3D design e-commerce and security
		Computer Glossary : software hardware Internet Intranet network software multimedia 3D design e-commerce and security
		A normal (deterministic) {Turing Machine} that has a "guessing head" - a write-only head that writes a guess at a solution on the tape first, based on some arbitrary internal {algorithm}.
		A {nondeterministic Turing Machine} can solve {nondeterministic polynomial time} computational {decision problems} in a number of steps that is a {polynomial} function of the size of the input (1995-04-27)
	www.di.com.tn /computerglossary/F8343.html (103 words)

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