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Topic: Nondeterministic finite automaton


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In the News (Fri 17 Feb 12)

  
 [No title]   (Site not responding. Last check: 0000-00-00)
An NFA may not go to any state from the current state on reading an input symbol or it may select one of several states nondeterministically (e.g.
As in the case of DFA the accepting states are used to distinguish sequences of inputs given to the finite automaton.
If the finite automaton is in an accepting state when the input ends i.e.
www.cs.odu.edu /~toida/nerzic/390teched/regular/fa/nfa-definitions.html   (721 words)

  
 Nondeterministic finite state machine - Wikipedia, the free encyclopedia
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.
If, when the automaton has finished reading, it is in an accepting state, the NFA is said to accept the string, otherwise it is said to reject the string.
Therefore it is possible to convert an existing NFA into a DFA for the purpose of implementing a (perhaps) simpler machine.
en.wikipedia.org /wiki/Nondeterministic_finite_state_machine   (883 words)

  
 LANGUAGES, GRAMMARS, AUTOMATA & QUANTUM ANALOGS
Automaton An automaton is the heart of a sequential machine, that which deals only with inputs and states.
It is defined as a sextuplet as for a nondeterministic automaton with the condition that for any q in Q and a in I, there is a unique q' such that d(q, a, q') = 1 Pushdown Automaton is an automaton equipped with a potentially infinite amount of memory in a (LIFO) stack.
And part of the definition of a push down automaton is a symmetry requirement on the transition relation H to the effect that if (q, v) → (r, vs) on a word z then (q, v') → (r, v's) on the word z for all other stack words v'.
graham.main.nc.us /~bhammel/MATH/autom.html   (4505 words)

  
 GameDev.net - Algorithmic Forays Part 3   (Site not responding. Last check: 0000-00-00)
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.
A NFA accepts an input string X if and only if there is some path in the transition graph from the start state to some accepting (final) state, such that the edge labels along this path spell out X.
NFAs can't be directly simulated in the sense DFA can (recall the simulation algorithm from the previous article).
www.gamedev.net /reference/articles/article2092.asp   (935 words)

  
 [No title]   (Site not responding. Last check: 0000-00-00)
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)

  
 [No title]
The automaton takes as input a sequence of symbols drawn from an alphabet of symbols, and after reading each symbol in sequence, the automaton makes a transition from its current state to a new state depending on the value of the input read.
A nondeterministic automaton is said to accept an input if there exists any possible choice of transitions that would be consistent with the input and would lead in the end to an accepting state.
Thus intuitively the nondeterministic automaton is like the deterministic automaton but has as its disposal the right to make lucky guesses at each transition point that might lead to an accepting state if such a path through state space exists.
keck.ucsf.edu /~surya/automata.txt   (1074 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)

  
 Introduction To Deterministic Finite Automata   (Site not responding. Last check: 0000-00-00)
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)

  
 CMSC 451 Lecture 4, Nondeterministic Finite Automata, NFA
The difference between a DFA and a NFA is that the state transition table, delta, for a DFA has exactly one target state but for a NFA has a set, possibly empty (phi), of target states.
Example of a NFA, Nondeterministic Finite Automata given by a) Machine Definition M = (Q, sigma, delta, q0, F) b) Equivalent regular expression c) Equivalent state transition diagram and example tree of states for input string 0100011 and an equivalent DFA, Deterministic Finite Automata for the first 3 states.
Given a NFA and one or more strings, determine if the string(s) are accepted by the NFA.
www.cs.umbc.edu /~squire/cs451_l4.html   (349 words)

  
 Recitation 9
A finite state machine (FSM) or finite automaton is a model of behavior composed of states, transitions and actions.
Finite state machines are used in a broad range of fields and applications, and in many every day devices (microwaves, elevators, etc.).
A nondeterministic finite automaton (abbreviated NDFA or NFA) differs from a DFA in that the combination of a state and an input symbol no longer specifies a particular state to transition to.
www.cs.cornell.edu /Courses/cs312/2006sp/recitations/rec09.html   (1320 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 
By the previous discussion, nondeterministic finite-state automata, deterministic finite-state automata, regular grammars, and regular expressions are all characterizations of the languages that finite-memory programs accept.
www.cse.ohio-state.edu /~gurari/theory-bk/theory-bk-twose3.html   (2537 words)

  
 No Title
is true iff the initial state of one of the finite automata is a member of the set of final states for that automaton, which in turn is true iff
For longer strings, we need an inductive argument, this time with a base step dealing with strings of length 1; treating such strings in a separate case seems to be the easiest way of dealing with the exceptional transition from the initial state of the nondeterministic finite automaton.
is a final state of that finite automaton, by D5, and hence also a final state of the nondeterministic finite automaton, by the definition of
www.math.grin.edu /~stone/misc/t2.html   (349 words)

  
 [No title]
nfa53) '#t) ;******************************************************************** ;(nfa->no-epsilons-nfa nfa) ;Returns a nondeterministic finite automaton with a set of start ;states but no epsilon transitions that is equivalent to 'nfa'.
;Assumes 'nfa' is a nondeterministic finite automata with no ;epsilon transitions and a set of start states and 'input' is ;a list of letters in the alphabet of 'nfa'.
;Assumes 'nfa' is a nondeterministic finite automata and 'input' is ;a list of letters in the alphabet of 'nfa'.
www.goshen.edu /~dhousman/cosc345/scheme-new/nfa.scm   (403 words)

  
 nondeterministic finite tree automaton   (Site not responding. Last check: 0000-00-00)
Definition: A nondeterministic finite state machine that accepts finitary trees rather than just strings.
The tree nodes are marked with the letters of the alphabet of the automaton, and the transition function encodes the next states for each branch of the tree.
Sandeep Kumar Shukla, "nondeterministic finite tree automaton", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
www.nist.gov /dads/HTML/nondetermFiniteTreeAutom.html   (111 words)

  
 Lexical Analysis
Regular expression matching is implemented by constructing finite automata which match the regular expression strings.
This finite automata may be used to easily implement a token-matching algorithm.
The components are put together by the fact that each NFA component has a "tail" (initial in-edge), and "head" (final state).
www.cs.jhu.edu /~scott/cw/lectures/lexical-analysis.html   (693 words)

  
 Dartmouth TR2005-555
The phenomenon being tracked is modelled by a nondeterministic finite automaton and the sensor network is modelled by an observer capable of detecting events related, typically ambiguously, to the states of the underlying automaton.
More formally, an input string, $Z^t$, of $t+1$ symbols (the sensor network observations) that is presented to a nondeterministic finite automaton, $M$, (the model) determines a set, ${\cal H}_M(Z^t)$, of state sequences (the tracks or hypotheses) that are capable of generating the input string $Z^t$.
Our main result is that for a given automaton and sensor coverage, the worst-case rate of growth is either polynomial or exponential in $t$, indicating a kind of phase transition in tracking accuracy.
www.cs.dartmouth.edu /tr/ncstrl.dartmouthcs/TR2005-555   (383 words)

  
 Dr. Dobb's | A Regular Expression Class Library | April 15, 2003
The finite automaton conducts a search by sequencing through a series of internal states while reading characters from the input string.
The automaton jumps from one state to the next based on its current state and the character it receives from its input.
This function feeds successive input characters to the automaton until it reaches the end of the input or an invalid state is reached.
www.ddj.com /dept/cpp/184403496   (1491 words)

  
 [No title]
Grep uses regular expressions to specify the search pattern and a finite automaton to implement the search itself.
Egrep was faster then grep for simple patterns but for more complex searches it lagged behind because of the time it took to build a complete finite automaton for the regular expression before it could even start searching.
Since grep used a nondeterministic finite automaton it took less time to build the state machine but more time to evaluate strings with it.
www.cs.wisc.edu /~mdant/cs520_4.html   (883 words)

  
 Nondeterministic Finite State Automata   (Site not responding. Last check: 0000-00-00)
In this chapter, we define and describe an unusual extension to FSAs, the nondeterministic finite state automaton (NFA).
In this case, we need to record a set of states that the NFA might be in instead of recording a single state the NFA might be in.
If the NFA is in an accepting state in any one of these configurations, we say that N accepts x; that is, if there exists a configuration at time x
www.cse.msu.edu /~torng/360Book/NFA   (484 words)

  
 Nondeterministic Finite Automata (NFA)   (Site not responding. Last check: 0000-00-00)
The NFA starts in the state z0 and reads the first character "1" from the input tape.
We note that the NFA and the transition diagram have the same behaviour.
For every regular expression r, there is a nondeterministic finite automaton that accepts the regular set described by r.
rw4.cs.uni-sb.de /GANIMAL/GANIFA/page13_e.htm   (251 words)

  
 [No title]
Nondeterministic finite-state transducers can compute some functions that no deterministic finite-state transducer can.
Similarly, nondeterministic pushdown automata can accept some languages that no deterministic pushdown automaton can.
However, every language that is accepted by a nondeterministic finite-state automaton is also accepted by a deterministic finite-state automaton.
www.cse.ohio-state.edu /~gurari/theory-bk/theory-bk-fourse3.html   (953 words)

  
 CS420 Syllabus
Topics studied will include finite automata, and context-free grammars, definition of computable function, unsolvability of the halting problem and related problems, and the classes P and NP.
Students will be able to recognize when a language is regular, and be able to design a finite automaton or regular expression for a language that is regular and use the pumping lemma to show that a language is not regular.
Students will be able to convert a nondeterministic finite automaton into a deterministic one, a regular expression into a nondeterministic finite automaton and a finite automaton into a regular expression.
www.cs.umb.edu /~rlt/cs420/CS420Syllabus.html   (486 words)

  
 dRegAut (dRegAut API Specification)
A pair of a state and an alphabet symbol.
Exception caused by an automaton not being well-defined.
This package contains an implementation of the regular expression and automaton algorithms from [Martin] (John Martin, Introduction to Languages and the Theory of Computation, 3rd edition, McGraw-Hill, 2002).
www.daimi.au.dk /dRegAut/doc/dRegAut/package-summary.html   (58 words)

  
 CMPU 240 Language Theory and Automata   (Site not responding. Last check: 0000-00-00)
We will study several classes of abstract machine including finite automata, push-down automata and Turing machines, along with several classes of languages such as regular and context-free languages.
JFLAP : Graphic tool that does conversions from nondeterministic finite automaton (NFA) to deterministic finite automaton (DFA), DFA to minimum state DFA, NFA to regular grammar, regular grammar to NFA, nondeterministic pushdown automaton (NPDA) to context-free grammar (CFG), and three algorithms for CFG to NPDA.
Finite State Automaton applet from the University of Montana
www.cs.vassar.edu /~cs240   (331 words)

  
 CS 5641 Fall 2002 Sample Exam 1 Questions   (Site not responding. Last check: 0000-00-00)
A legal string begins with from 1 to 3 a's, is followed by 0 or more b's, c's, or d's, and ends with at least one e.
Create a deterministic finite state machine to accept legal strings (and only legal strings).
Create a nondeterministic finite state machine to accept legal strings (and only legal strings).
www.d.umn.edu /~rmaclin/cs5641/exam1-sample.html   (300 words)

  
 FASTUS: Extracting Information from NL Texts
Successive stages of processing are applied to the input, patterns are matched, and corresponding composite structures are built.
allows the machine to nondeterministically skip over the first conjunct and associate the subject with the verb group in the second conjunct.
That is, when the first verb group is encountered, all its complements and adjuncts are skipped over until a conjunction is encountered, and then the subject is associated with a verb group, if that is what comes next.
www.ai.sri.com /natural-language/projects/fastus-schabes.html   (6964 words)

  
 Assignment 2c for Ling 645/CMSC 723, Fall 1997   (Site not responding. Last check: 0000-00-00)
Recall that unlike a deterministic FSA, in a NONDETERMINISTIC FSA you may have (1) epsilon transitions, which allow the machine to go from one state to another without absorbing any input, and (2) multiple arcs out of a state having the same input symbol on them.
THE PROBLEM Here are the auxiliary words in English that your machine must deal with (and therefore must be in its alphabet): am are be been can could had has have is may might must shall should was were will would To keep things simple, we will assume just a single verb, "to write".
I did not give you ALL the valid sequences of auxiliaries+verb in English, above: part of your job is to figure out that information either by introspection (if you are a native speaker) or by asking native speakers (if you are not).
www.umiacs.umd.edu /~resnik/ling645_fa1997/assignments/2/2c.html   (401 words)

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