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Topic: Deterministic finite automaton

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	PlanetMath: deterministic finite automaton
		Although the operation of a DFA is much easier to compute than that of a non-deterministic automaton, it is non-trivial to directly generate a DFA from a regular grammar.
		It is much easier to generate a non-deterministic finite automaton from the regular grammar, and then transform the non-deterministic finite automaton into a DFA.
		This is version 6 of deterministic finite automaton, born on 2002-02-24, modified 2007-09-28.
	planetmath.org /encyclopedia/DeterministicFiniteAutomaton.html (502 words)

	Finite state machine
		A finite state machine (FSM) or finite state automaton (FSA) is an abstract machine used in the study of computation and languages that has only a finite, constant amount of memory (the state).
		Finite automata may operate on languages of finite words (the standard case), infinite words (Rabin automata, Büchi automata[?]), or various types of trees (tree automata), to name the most important cases.
		Apart from theory, finite state machines occur also in hardware circuits, where the input, the state and the output are bit vectors of fixed size (Moore and Mealy machines).
	www.ebroadcast.com.au /lookup/encyclopedia/fs/FSM.html (830 words)

	[No title]
		Finite automata recognize regular languages and, conversely, any language that is recognized by a finite automaton is regular.
		If the finite automaton is in an accepting state when the input ceases to come, the sequence of input symbols given to the finite automaton is "accepted".
		The vertices (denoted by single circles) of a transition diagram represent the states of the DFA and the arcs labeled with an input symbol correspond to the transitions.
	www.cs.odu.edu /~toida/nerzic/390teched/regular/fa/dfa-definitions.html (892 words)

	GNU Go Documentation: DFA
		Otherwise, a finite state machine called a Deterministic Finite State Automaton (10.2 What is a DFA) will be built off line from the pattern database.
		It is possible to construct a special pattern database that generates an "explosive" automaton: the size of the DFA is in the worst case exponential in the number of patterns it recognizes.
		The dfa is constructed to minimize jumps in memory making some assumptions about the frequencies of the values: the EMPTY value is supposed to appear often on the board, so the the '.' transition are almost always successors in memory.
	www.gnu.org /software/gnugo/gnugo_10.html (1483 words)

	Deterministic Finite State Automation
		A Deterministic Finite State Automaton consists of a finite set of states and a set of transitions from state to state that occur on input symbols chosen from an alphabet ∑.
		The vertices of the graph correspond to the states of the finite automaton.
		One important thing to note is that the finite automaton uses the state to record only the parity of the number of 0’s and the number of 1’s and not the actual number which would need infinite states.
	www.cs.iitm.ernet.in /tell/automata/Automata/fsa.htm (648 words)

	PlanetMath: non-deterministic finite automaton
		Actual operation of an NDFA is generally intractable, but there is a simple process to transform any NDFA into a DFA, the operation of which is very tractable.
		See Also: deterministic finite automaton, automaton, regular language, context-free language, language, non-deterministic pushdown automaton
		This is version 3 of non-deterministic finite automaton, born on 2002-02-24, modified 2007-08-16.
	planetmath.org /encyclopedia/NonDeterministicFiniteAutomaton.html (584 words)

	Finite State Machine Minimization
		Finite state machines are best thought of as pattern recognizers, and minimum-size machines correspond to recognizers that require less time and space.
		Finite state machines are best thought of as edge-labeled directed graphs, where each vertex represents one of n states and each edge a transition from one state to the other on receipt of the alphabet symbol that labels the edge.
		-moves, it is straightforward to construct an automaton from a depth-first traversal of the parse tree of the regular expression.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK5/NODE207.HTM (1255 words)

	[No title]
		;Assumes 'dfa' is a deterministic finite automaton and 'state' is a ;state of 'dfa'.
		;Assumes 'dfa' is a deterministic finite automaton and 'states' is a ;set of states of 'dfa'.
		;****************************************************************** ;(test '(complement-dfa dfa36) "accept states should be (q1 q3)") ;**************************************************************** ;(union-dfa dfa1 dfa2) ;Returns a deterministic finite automaton** that recognizes the ;union of the languages recognized by 'dfa1' and 'dfa2'.
	www.goshen.edu /~dhousman/cosc345/scheme-new/decidable-starter.scm (583 words)

	Introduction To Deterministic Finite Automata (Site not responding. Last check: 2007-10-16)
		The finite automaton is basically a very simple computer that consists only of an input tape, a tape reading device, and a finite control unit.
		The finite control unit exists in a one of a finite number of states, which contain a start state and some number of final states.
		If after reading a string from an input tape the automaton is in a final state then the string is said to be accepted by the automaton.
	www.csr.uvic.ca /~wendym/01dfa/automata.html (461 words)

	[No title] (Site not responding. Last check: 2007-10-16)
		Finite automata are especially useful because they are procedural in nature and can be directly executed to read characters and group them into tokens.
		Deterministic finite automata are useful in implementing scanners because they define token recognition simply and cleanly, on a character-by-character basis.
		Sometimes they are used for definitional purposes, when it is convenient to simply draw a simple automaton as a ``flow diagram'' of characters that are to be matched.
	siesta.cs.wustl.edu /~cytron/cac/source/ch3/ch3.tex.txt (2073 words)

	deterministic finite automaton - OneLook Dictionary Search
		We found 3 dictionaries with English definitions that include the word deterministic finite automaton:
		Tip: Click on the first link on a line below to go directly to a page where "deterministic finite automaton" is defined.
		Phrases that include deterministic finite automaton: non deterministic finite automaton
	www.onelook.com /?w=deterministic+finite+automaton&ls=a (95 words)

	Deterministic finite state machine - Wikipedia, the free encyclopedia
		In the theory of computation, a deterministic finite state machine or deterministic finite automaton (DFA) is a finite state machine where for each pair of state and input symbol there is one and only one transition to a next state.
		DFAs are one of the most practical models of computation, since there is a trivial linear time, constant-space, online algorithm to simulate a DFA on a stream of input.
		There are also efficient algorithms to determine whether a DFA accepts any strings, whether a DFA accepts all strings, whether two DFAs recognize the same language, and to find the DFA with a minimum number of states for a particular regular language.
	en.wikipedia.org /wiki/Deterministic_finite_automaton (621 words)

	2.2 Deterministic Finite Automata (DFAs)
		A finite automaton consists of a finite set of states, a set of transitions (moves), one start state, and a set of final states (accepting states).
		A DFA accepts a string if starting from the start state and moving from state to state, each time following the arrow that corresponds the current input character, it reaches a final state when the entire input string is consumed.
		A DFA is represented by a transition table T, which gives the next state T[s, c] for a state s and a character c.
	lambda.uta.edu /cse5317/notes/node8.html (415 words)

	SEM1A5 - Part 2 - Issues in implementation and adequacy for Finite State Automata (Site not responding. Last check: 2007-10-16)
		The Finite State Automata used in this part of the course have been deliberately built to be deterministic in recognition.
		Finite State Automata that are non-deterministic in recognition have two or more arcs with the same label emanating from a given state.
		A deterministic Finite State Automaton is likely (on average) to be faster than a non-deterministic Finite State Automaton because there are fewer arcs that can be traversed for any given input.
	www.cs.bham.ac.uk /~pjh/sem1a5/pt2/pt2_issues.html (482 words)

	2.3 Converting a Regular Expression into a Deterministic Finite Automaton
		The task of a scanner generator, such as flex, is to generate the transition tables or to synthesize the scanner program given a scanner specification (in the form of a set of REs).
		This is accomplished in two steps: first it converts a RE into a non-deterministic finite automaton (NFA) and then it converts the NFA into a DFA.
		This indicates that arriving to the state labeled {5,6,8} in the DFA is the same as arriving to the state 5, the state 6, or the state 8 in the NFA when parsing the same input.
	lambda.uta.edu /cse5317/spring01/notes/node9.html (617 words)

	Theory of Computation (Site not responding. Last check: 2007-10-16)
		That an automaton may operate on a finite set of input data and end in a discernible final state motivates us to view the automaton as a mapping between the set of input symbols and its final state.
		Like a finite automaton, a Turing machine is a simple computing device consisting of a finite set of input states, finite set of input symbols, an initial state, and a transition function.
		Unlike a finite automaton, a Turing machine's input data is said to be given on a finite, but unbounded, strip of magnetic tape.
	www.theory.org /complexity/cdpt/html/node3.html (1966 words)

	[No title]
		The finite-state automaton that is induced by the finite-state transducer of Figure
		A finite-state automaton that corresponds to the finite-state transducer of Figure
		Since Q is finite, it follows that Q has only a finite number of subsets A, and consequently M' has also only a finite number of states.
	www.cse.ohio-state.edu /~gurari/theory-bk/theory-bk-twose3.html (2537 words)

	GameDev.net - Algorithmic Forays Part 3 (Site not responding. Last check: 2007-10-16)
		The theory of Finite Automatons can be classified into several categories, but the one we need for the sake of regex recognition is the notion of determinism.
		In the DFA, the char a can't both keep the automaton in state 0 and move it to state 1, so the many transitions on a to state 1 are required from any other state.
		They must be simulated using a special technique that generates a DFA from their states "on the fly".
	www.gamedev.net /reference/articles/article2092.asp (935 words)

	Minimizing Finite Automata
		Two states in a finite automaton M are equivalent if and only if for every string x, if M is started in either state with x as input, it either accepts in both cases or rejects in both cases.
		For a deterministic finite automaton M, the minimum number of states in any equivalent deterministic finite automaton is the same as the number of equivalence classes of M's states.
		Myhill, "Finite automata and the representation of events." WADD TR-57-624, Wright Patterson AFB, Ohio, 1957.
	www.cs.engr.uky.edu /~lewis/essays/compilers/min-fa.html (783 words)

	The Nature of Stuff (Site not responding. Last check: 2007-10-16)
		A Finite Automaton is a machine that accepts input and enters states as each new input symbol is read based in the previous state and the input symbol.
		A Deterministic Finite Automaton is one where each new symbol and the previous state uniquely determine one new state.
		Thus a Non-Deterministic Finite Automaton is identical to a Deterministic Finite Automaton with the appropriate re-mapping of states.
	mcraefamily.com /graeme/Stuff/index.htm (1772 words)

	VB Helper: Contest: DFA
		A deterministic finite automaton (DFA) is a machine that applies a finite number of rules to an input and produces a result.
		Obviously you cannot make a tape that is infinitely long since your computer has a finite amount of memory, but you should be able to handle and display at least 100 or so tape cells.
		Yaron Budowski's DFA allows you to edit the state definitions and tape, and run the simulation.
	www.vb-helper.com /contest_dfa.html (1096 words)

	Recitation 27: Finite automata
		It's the Greeks' fault.) A DFA, also known as a finite state machine, is a finite graph in which the vertices (nodes) are the states of the automaton.
		In a deterministic finite automaton, there is at most one outgoing edge from any given node labeled with a particular character.
		It is conventional to draw finite automata as a graph where the states are drawn as circles and the accept states are drawn as double circles.
	www.cs.cornell.edu /courses/cs312/2004sp/lectures/rec27.html (1702 words)

	4 Finite Automata
		In general, an automaton is deterministic if there is at most one transition from one state to another labeled by a given letter of its alphabet.
		Note that although DFA stands for ``deterministic finite automaton,'' a DFA is required to be more than just deterministic.
		This automaton checks to see if the two words given to it are the same by checking that corresponding letters are the same.
	www.u.arizona.edu /~miller/webthesis/mthesis/node8.html (1036 words)

	Tom White's Blog: A Faster Java Regex Package
		This FSA is in fact non-deterministic, known as a Non-deterministic Finite Automaton (NFA).
		DFAs cannot support back references, so dk.brics.automaton can't support them (see the javadoc for the regular expression language that it does support).
		The best introduction I've seen to FSAs, particularly the difference between deterministic and non-deterministic ones, is the second chapter of Speech and Language Processing by Daniel Jurafsky and James H. Martin.
	weblogs.java.net /blog/tomwhite/archive/2006/03/a_faster_java_r.html (1246 words)

	Deterministic Finite Automaton On GlobalSpec
		Finite element analysis (FEA) software uses a numerical technique to model and analyze complex structures by solving boundary-value problems.
		Here it is (dfa is for "deterministic finite automaton", another way to express it) - I think the code makes it pretty crystal-clear what's going on:.
		Deterministic Finite Automata (DFAs) A DFA represents a finite state machine that recognizes a RE.
	www.globalspec.com /Industrial-Directory/deterministic_finite_automaton (1158 words)

	Deterministic Finite Tree Automaton On GlobalSpec
		Furthermore, it is possible to integrate a deterministic finite state automaton in a recurrent neural network (see [27]) Rule extraction for feedforward neural nets can be achieved with the KT [11]...
		Some examples are deterministic finite state acceptors [1] monotone DNF formulas [2] bracketted context free languages described by deterministic bottom up tree automata [25], and propositional Horn...
		concrete" notion of a (finite deterministic bottom-up) tree automaton over the terms of T. such that all terms which are equal modulo OIT are evaluated to the same state.
	www.globalspec.com /Industrial-Directory/deterministic_finite_tree_automaton (1234 words)

	Deterministic finite-state automata
		This would be equivalent to having a Moore machine whose output alphabet has only two symbols, Y (yes) and N (no), and looking only at the last output symbol (not at the whole output string) to decide whether the string is accepted or rejected.
		This automaton, which may also be represented as in figure 2.3, accepts only those strings of
		This automaton, which may also be represented as in figure 2.4, accepts only those strings of
	www.dlsi.ua.es /~mlf/nnafmc/pbook/node15.html (169 words)

	GOLD Parsing System - Deterministic Finite Automata
		A deterministic finite automaton, or DFA for short, is a method if recognizing this pattern algorithmically.
		It is finite; meaning there is a fixed and known number of states and transitions between states.
		A DFA is commonly represented with a graph.
	www.devincook.com /goldparser/articles/dfa.htm (468 words)

	All Packages from $.* to Freenet.*
		It would be quite difficult for the JMS API to support all of these message models.
		• RegularExpression: A regular expression matching engine using Non-deterministic Finite Automaton (NFA).
		This engine does not conform to the POSIX regular expression.
	www.docjar.com /docs/api (2146 words)

	[No title] (Site not responding. Last check: 2007-10-16)
		This * significantly simplifies the automaton and reduces its memory usage.
		The noState state * is returned by prevState() when the automaton fails to take even one * transition, but this can occur only if the starting state is the stop * state or the error state so will never occur in practice.
		Calls * to addTransition() add ordinary transitions to the automaton, and * calls to addEpsilonTransition() replace the existing epsilon transition * from any state with another one.
	www.cs.usyd.edu.au /~soft1002/Automaton.java (336 words)

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