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Topic: Linear bounded automaton

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	Pushdown automaton - Wikipedia, the free encyclopedia
		Informally, a pushdown automaton is a finite automaton that can make use of a stack.
		The (underlying) finite automaton is specifically a nondeterministic finite state machine, giving what is technically known as a "nondeterministic pushdown automaton" (NPDA).
		A linear bounded automaton is a device which is more powerful than a pushdown automaton but less so than a Turing machine.
	en.wikipedia.org /wiki/Pushdown_automaton (547 words)

	Encyclopedia: Linear bounded automaton
		Linear bounded automata are accepters for the class of context-sensitive languages.
		Informally, a pushdown automaton is a finite automaton finite state machine (FSM) or finite automaton is a model of behaviour composed of states, transitions and actions.
		The finite automaton is usually a nondeterministic finite state machine nondeterministic finite state machine or nondeterministic finite automaton (NFA) is a finite state machine where for each pair of state and input symbol there may be several possible next states.
	www.nationmaster.com /encyclopedia/Linear-bounded-automaton (1041 words)

	Encyclopedia article: Linear bounded automaton (Site not responding. Last check: 2007-11-05)
		A linear bounded automaton is a restricted form of a Turing machine (A hypothetical computer with an infinitely long memory tape).
		It differs from a Turing machine in that while the tape is initially considered infinite, only a finite contiguous portion whose length is a function of the length of the initial input can be accessed by the read/write head.
		Linear bounded automata are accepters for the class of context-sensitive language (additional info and facts about context-sensitive language) s.
	www.absoluteastronomy.com /encyclopedia/l/li/linear_bounded_automaton.htm (160 words)

	Info and facts on 'Pushdown automaton' (Site not responding. Last check: 2007-11-05)
		Informally, a pushdown automaton is a finite automaton (additional info and facts about finite automaton) outfitted with access to a potentially unlimited amount of memory in the form of a single stack (An orderly pile).
		The finite automaton in question is usually a nondeterministic finite state machine (additional info and facts about nondeterministic finite state machine) (resulting in a nondeterministic pushdown automaton or NPDA) since deterministic pushdown automata cannot recognize all context-free languages.
		A linear bounded automaton (additional info and facts about linear bounded automaton) is a device which is more powerful than a pushdown automaton but less so than a Turing machine.
	www.absoluteastronomy.com /encyclopedia/p/pu/pushdown_automaton.htm (271 words)

	Encyclopedia: Pushdown automaton
		In the theory of computation, a nondeterministic finite state machine or nondeterministic finite automaton (NFA) is a finite state machine where for each pair of state and input symbol there may be several possible next states.
		In 1769, a chess-playing automaton called the Turk, created by Wolfgang von Kempelen, made the rounds of the courts of Europe, but in fact was a famous hoax, operated from inside by a hidden human operator.
		Also, an automaton is a mathematical model for a finite state machine, see automata theory.
	www.nationmaster.com /encyclopedia/Pushdown-automaton (1332 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Once entered, the automaton will execute until either a branch accepts, all branches hang, or the transition or branch limits are exceeded.
		For linear bounded automata you are limited to one tape.
		The LBA tape will be limited to the length of the input and will be bounded on the left with a pound sign (#) and on the right with a dollar sign ($).
	www.cis.uab.edu /info/dept/courses/cs350/aismanual.txt (2414 words)

	Pushdown automaton - Encyclopedia, History, Geography and Biography
		Pushdown automatons differ from normal finite state machines in two ways: (1) They can use the top of the stack to figure out what transition to take.
		The finite automaton is usually a nondeterministic finite state machine, which is called a "nondeterministic pushdown automaton", or "NPDA," since deterministic pushdown automata cannot recognize all context-free languages.
		If we allow a finite automaton access to two stacks instead of just one, we obtain a more powerful device — equivalent in power to a Turing machine.
	www.arikah.com /encyclopedia/Push-down_automaton (561 words)

	Lecture 04 (Site not responding. Last check: 2007-11-05)
		An automaton consists of a control mechanism with a finite number of states, and some form of tape, which may be read and advanced as in a magnetic tape player, and possibly also written (recorded) and moved in either direction.
		The automaton can be in any one of its finite set of states, but only by arriving in that state by a sequence of transition rules from the start state.
		An automaton with a read-only tape and two independent stacks is equivalent to a Turing machine.
	carbon.cudenver.edu /~traup/fa04/lec/04.html (2103 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Myhill (1960) identified the deterministic linear bounded automata.
		Kuroda (1964) introduced the Type 1 grammars and the nondeterministic linear bounded automata, and showed their equivalency to the class of context-sensitive grammars.
		Landweber (1963) showed that there are languages that cannot be accepted by any deterministic linear bounded automaton but that can be accepted by a linear bounded automaton.
	www.cse.ohio-state.edu /~gurari/theory-bk/theory-bk-fourli2.html (195 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		The modification of a system so that its outputs are approximately linear functions of its inputs, in order to facilitate analysis of the system.
		The mathematical approximation of a nonlinear system, whose departures from linearity are small, by a linear system corresponding to small changes in the variables about their average values.
		] A widely used form of linear time-delay circuit in which the input signal initiates action by a linear sawtooth generator, such as the bootstrap or Miller integrator, whose output is then compared with a calibrated direct-current reference voltage level.
	www.accessscience.com /Dictionary/L/L14/DictL14.html (2055 words)

	The Chomsky Hierarchy
		Instead we use a Push-Down Automaton which is like a DFA except that we are also allowed to use a stack.
		The automaton which recognises a context-sensitive language is called a linear-bounded automaton: this is basically a NFA/DFA which can store symbols in a list.
		This basically means that the size of a sentential form is bounded by the length of the sentence (ie.
	www.cs.may.ie /~jpower/Courses/parsing/node21.html (411 words)

	Read about Pushdown automaton at WorldVillage Encyclopedia. Research Pushdown automaton and learn about Pushdown ... (Site not responding. Last check: 2007-11-05)
		finite automaton outfitted with access to a potentially unlimited amount of memory in the form of a single
		nondeterministic finite state machine (resulting in a nondeterministic pushdown automaton or NPDA) since deterministic pushdown automata cannot recognize all context-free languages.
		If we allow a finite automaton access to two stacks instead of just one, we obtain a more powerful device — equivalent in power to a
	encyclopedia.worldvillage.com /s/b/Pushdown_automaton (253 words)

	Chomsky hierarchy (Site not responding. Last check: 2007-11-05)
		The languages described by thesegrammars are exactly all languages that can be recognized by a non-deterministic Turing machine whose tape is bounded by aconstant times the length of the input.
		These languages are exactly all languages that can be recognized by a non-deterministic pushdown automaton.
		These languagesare exactly all languages that can be decided by a finitestate automaton.
	www.therfcc.org /chomsky-hierarchy-4500.html (614 words)

	12.4 Linear Bounded Automata (Site not responding. Last check: 2007-11-05)
		Definition 12.4 A linear bounded automaton is an NRAM program P that operates in linear space, i.e., for some constant c
		Theorem 12.7 For every linear bounded automaton P there is a context sensitive grammar G such that L
		Proof: First of all, a linear bounded automaton can be simulated by a DRAM program that recognizes the context sensitive language and that operates in polynomial space, i.e., there is a constant c such that on input x it uses at most
	www.cs.pitt.edu /~daley/cs2110/notes/cs2110w_node51.html (858 words)

	Halting problem - Wikipedia, the free encyclopedia
		The undecidability of the halting problem relies on the fact that algorithms are assumed to have potentially infinite storage: at any one time they can only store finitely many things, but they can always store more and they never run out of memory.
		In this case, the halting problem for programs running on that machine can be solved with a very simple general algorithm (albeit one that is so inefficient that it could never be useful in practice).
		For example, there are some very large upper bounds on numbers with certain properties in number theory, but it's not feasible to check all values below this bound in a naïve way with a computer — they can't even hold some of these numbers in memory.
	www.wikipedia.org /wiki/Halting_problem (2762 words)

	Re: More on "Is C Turing-complete?"
		LBAs can recognize type-1 languages in the Chomsky hierarchy (context-sensitive languages), but not type-0 languages (recursive and recursively-enumerable languages).
		What Arthur's contention really comes down to is: a computing model which implements only the set of all strictly-conforming C programs is in fact an LBA, not a UTM, because the "tape" implemented by that model is bounded.
		The question Arthur was trying to settle was whether unbounded recursion was sufficient to boost scC from LBA status to UTM status.
	www.talkaboutprogramming.com /group/comp.programming/messages/169014.html (229 words)

	LBA - Freepedia (Site not responding. Last check: 2007-11-05)
		Linear bounded automaton, a construct in computability theory
		LBA 4404 - a type of agrobacterium for agrobacterium mediated transformation
		This page concerning a three-letter acronym or abbreviation is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title.
	en.freepedia.org /LBA.html (111 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Context-free language is constructed from context-free grammar and is implemented on nondeterministic pushdown automaton machines.
		Context-sensitive language is constructed from context-sensitive grammar and is implemented on linear-bounded automaton machines while recursively enumerable language is constructed from unrestricted grammar and is implemented on Turing machines.
		Whereas with finite state machines the transition from one state to the next generates some sort of output this is not the case with finite state automaton.
	jewel.morgan.edu /~ltyson/281/27.txt (409 words)

	JiTA - Java interpreted Turing Automaton
		At any time the automaton will be in one of the states defined in the set of states.
		Although the size of the tape is not infinite, a JiTA machine is not a linear bounded automaton.
		Linear bounded automatons have tapes, whose sizes can not be larger than the length of the input-list.
	www.cip.ifi.lmu.de /~coskun/project/jita (1211 words)

	CS444 Compiler
		An automaton has a finite description that, given a grammar, can accept some string of terminal symbols and can determine whether the string can be derived in the grammar.
		Context sensitive grammars are accepted by two-way, linear bounded automaton - essentially a Turing machine where the output tape cannot be longer than the input string.
		Right linear grammars are recognized by finite-state automaton consisting of a finite set of states and a set of transitions between pairs of states.
	134.193.15.25 /vu/course/CS444/Lessons/Topic2/LexGrammar.htm (598 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		An LBA is a TM that has a finite tape equal to the size of its input.
		Furthermore, an LBA is aware of when its head is on either the left or right hand side of the tape.
		M $ is an LBA where $ \lang(M) = \emptyset \}$ \bigskip Our proof idea is as follows: Given $\langle M, w \rangle$ construct $\langle X_{M,w} \rangle $ which is an LBA that accepts its input only if its input is a valid accepting computation history for $M$ on input $w$.
	www.cs.wm.edu /~mliskov/cs423_fall04/scribe/lect17.tex (1067 words)

	Citations: Classes of languages and linear bounded automata - Kuroda (ResearchIndex) (Site not responding. Last check: 2007-11-05)
		Har78] We use a linear bounded automaton that has a single tape, writes only on the tape cells....
		The upper bound of this problem is the same as for context sensitive grammars.
		A linear bounded automaton is simply an one tape Turing machine the tape of which is restricted to the portion containing the input string.
	citeseer.lcs.mit.edu /context/163486/0 (1276 words)

	Learning to count without a counter
		If brains produce behaviors which fall entirely within the realm of context-free grammars, for example, we might suppose that the brain is the computational equivalent of a Linear Bounded Automata (since this class of machines is both necessary and sufficient for the generation and recognition of such languages).
		Elman (1991), for example, demonstrates the ability of a recurrent network to emulate certain aspects of a pushdown automaton (namely, to process recursively embedded structures to a limited depth); the analysis of this network suggests that the network partitions the hidden unit state space to represent grammatical categories and depth of embedding.
		These require a form of pushdown automaton known as a Linear Bounded Automaton.
	crl.ucsd.edu /~elman/Papers/wiles_elman/wiles_elman.html (2762 words)

	CSC 221 Notes (Site not responding. Last check: 2007-11-05)
		A Linear Bounded Automaton (LBA) is a restricted type of Turing Machine: a octuple: M = (Q,A,G,d,q0,<,>,F) ^ ^
		Theorem: Allowing extra tape as a linear function of the length of the input does not create a more powerful machine than the original definition.
		Theorem: The LBA are equivalent to CSG, with exception mentioned earlier.
	www.cs.oswego.edu /~odendahl/coursework/csc221-spring-99/notes/10-b.html (272 words)

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