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Topic: Nondeterministic finite state machine


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  Finite state machine - Wikipedia, the free encyclopedia
A finite state machine (FSM) or finite automaton is a model of behavior composed of states, transitions and actions.
Finite state machines are one type of the automata studied in automata theory and the theory of computation.
The next state and output of a FSM is a function of the input and of the current state.
en.wikipedia.org /wiki/Finite_state_machine   (1188 words)

  
 Finite state machine - Wikipedia
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).
There are several types of finite state machines: finite state acceptors or recognizers are used to recognize languages, whilst finite state transducers are used to generate an output from a given input.
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.
nostalgia.wikipedia.org /wiki/Finite_state_machine   (496 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.
For example, if it's in state 1, with the next input symbol an a, it can move to state 2 without consuming any input symbols and can enter state 3 by consuming an a it is unable to determine the correct state to enter.
Until these subsequent events occur it is not possible to determine which state the machine is in" [1].
en.wikipedia.org /wiki/Nondeterministic_finite_state_machine   (752 words)

  
 Finite state machine - LearnThis.Info Enclyclopedia   (Site not responding. Last check: 2007-11-07)
Nondeterministic automata are usually implemented by converting them to deterministic automata—in the worst case, the generated deterministic automaton is exponentially bigger than the nondeterministic automaton (although it can usually be substantially optimised).
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 machines and Mealy machines).
The problem of optimizing an FSM (finding the machine with the least number of states that performs the same function) is decidable, unlike the same problem for more computationally powerful machines.
encyclopedia.learnthis.info /f/fi/finite_state_machine.html   (544 words)

  
 Encyclopedia: Finite state machine   (Site not responding. Last check: 2007-11-07)
A finite state machine example with comments on the used symbols File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
State diagrams are used to graphically represent finite state machines.
Finite state machines are studied in automata theory, a subfield of theoretical computer science.
www.nationmaster.com /encyclopedia/Finite-state-machine   (870 words)

  
 FINITE STATE MACHINE   (Site not responding. Last check: 2007-11-07)
The state machine can also be viewed as a function which maps an ordered sequence of input events into a corresponding sequence of (sets of) output events.
Each state in the DFA represents the set of states the NFA might be in at a given time.
A finite state machine can be implemented in software with a state transition matrix (in some cases a sparse matrix implemented with linked lists or a huge switch-statement for detecting the internal state and then individual switch statements for decoding the input symbol.
www.websters-online-dictionary.org /Fi/Finite+State+Machine.html   (1444 words)

  
 Finite state machine   (Site not responding. Last check: 2007-11-07)
Finite state machines are studied inautomata theory, a subfield of theoretical computerscience.
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 machines and Mealymachines).
The problem of optimizing an FSM (finding the machine with the leastnumber of states that performs the same function) is decidable, unlike the same problem for more computationally powerfulmachines.
www.therfcc.org /finite-state-machine-2218.html   (519 words)

  
 Constructing method of finite-state machine performing transitions according to a partial type of success function and ...
States in the machine FFM is formed of a state set q included in the nondeterministic finite-state machine and a set p defined as a subset of the state set q, and the number of states is finite.
of the deterministic finite-state machine at the states g(,c) to a fourth union U{.lambda.(t)} of values.lambda.(t) of an output function.lambda.
Therefore, introductory explanation of the finite-state machine and various concepts accompanying the finite-state machine is omitted, and formal definitions of a nondeterministic Moore machine NMO, a deterministic Moore machine DMO, regular expressions relating to the machines NMO and DMO and regular transformations equivalent to the extension of the regular expressions are merely described.
www.freepatentsonline.com /5495409.html   (11237 words)

  
 Finite State Machine Minimization   (Site not responding. Last check: 2007-11-07)
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.
Finite state machines are often used to specify search patterns in the guise of regular expressions, which are patterns formed by and-ing, or-ing, and looping over smaller regular expressions.
www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK5/NODE207.HTM   (1255 words)

  
 Pushdown automaton - RecipeFacts   (Site not responding. Last check: 2007-11-07)
The (underlying) finite automaton is specifically a nondeterministic finite state machine, giving what is technically known as a "nondeterministic pushdown automaton" (NPDA).
If a deterministic finite state machine is used, then the result is a "deterministic pushdown automaton" (DPDA), a strictly weaker device.
The two are easily shown to be equivalent: a final state can perform a pop loop to get to an empty stack, and a machine can detect an empty stack and enter a final state by detecting a unique symbol pushed by the initial state.
www.recipeland.com /encyclopaedia/index.php/Pushdown_automaton   (565 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.
The last condition says that the machine accepts if the last input of X causes the machine to be in one of the accepting states.
When the input ends, the state will show whether the input contained an even number of 0s or not.
en.wikipedia.org /wiki/Deterministic_finite_state_machine   (549 words)

  
 nondeterministic finite state machine   (Site not responding. Last check: 2007-11-07)
Definition: A finite state machine whose transition function maps inputs symbols and states to a (possibly empty) set of next states.
Note: Any such machine may be converted to a deterministic finite state machine, although the number of states may increase by an exponential amount.
Paul E. Black, "nondeterministic finite state machine", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
www.nist.gov /dads/HTML/nondetermFiniteStateMach.html   (129 words)

  
 State diagram   (Site not responding. Last check: 2007-11-07)
For a Moore machine, output is signified on each state In practice, vertices are normally represented by circles and, if needed, double circles are used for accept states.
Classic state diagrams are so called or diagrams, because the machine can only be in one state or the other.
With harel statecharts it is possible to model and machines, where a machine is in two or more states at the same time.
read-and-go.hopto.org /Graphs/State-diagram.html   (239 words)

  
 Finite-State Automata
The accepting states of A correspond to, and are labelled by the left-hand side symbols of those rules of G with the null string on the right-hand side.
In the case of an automaton that is equivalent to a finite grammar, as is the case for the transition network illustrated here, the nodes are labelled with the nonterminal symbols of the grammar.
Note, however, that the machine is actually not moving along the arcs of the transition network diagram; it is simply shifting between its internal states that are represented by the nodes in the diagram.
web.uvic.ca /~ling48x/ling484/notes/fsa.html   (2176 words)

  
 [No title]   (Site not responding. Last check: 2007-11-07)
Each state of the machine is described by a set of items -- particular positions in particular rules -- that are the possible places where parsing could continue when the machine is in this state.
For each state there is a particular symbol which must have been the last thing accepted to reach that state.
For each state, the tokens that are errors for this reason are recorded in an errs structure, which has the state number in its number field.
www.cs.cmu.edu /afs/cs.cmu.edu/project/atk-ftp/src/overhead/bison/state.h   (641 words)

  
 Lecture notes, Day 16   (Site not responding. Last check: 2007-11-07)
Beginning in the Start State, we follow the transition that is labeled with the first letter of the input word to determine the next state.
State 23 represents the case where we are in either state 2 or state 3.
Going back to state 1 and looking for b transitions, we have none, so the only transition out of state 1 is the a transition that goes to state 23.
www.cs.uidaho.edu /~johnd/cs101/day16a.html   (903 words)

  
 Finite state machine - Wikipedia
The machine starts in all of the start states and reads in a string of symbols from its alphabet.
If, when it has finished readin, it is in an accepting state, it is said to accept the string, otherwise it is said to reject the string.
A finite state machine can be implemented in software with a state transition matrix (in some cases a sparse matrix implemented with linkedd lists or a huge switch-statement for detecting the internal state and then individual switch statements for decoding the input symbol.
condor.depaul.edu /~ichu/csc415/notes/notes10/fsa.htm   (696 words)

  
 Module Documentation - POE::NFA   (Site not responding. Last check: 2007-11-07)
Events are delivered to the appropriate handlers in the current state only, and moving to a new state is an inexpensive way to change what happens when an event arrives.
The machine itself is defined as a list of state names and hashrefs mapping events to handlers within each state.
It hold a reference to the current state machine, and it's useful for calling methods on it.
aspn.activestate.com /ASPN/CodeDoc/POE/POE/NFA.html   (607 words)

  
 finite state machine
Definition: A model of computation consisting of a set of states, a start state, an input alphabet, and a transition function that maps input symbols and current states to a next state.
There are many variants, for instance, machines having actions (outputs) associated with transitions (Mealy machine) or states (Moore machine), multiple start states, transitions conditioned on no input symbol (a null) or more than one transition for a given symbol and state (nondeterministic finite state machine), one or more states designated as accepting states (recognizer), etc.
Paul E. Black, "finite state machine", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
www.nist.gov /dads/HTML/finiteStateMachine.html   (301 words)

  
 NONDETERMINISTIC FINITE STATE MACHINE   (Site not responding. Last check: 2007-11-07)
Specialty definitions using "NONDETERMINISTIC FINITE STATE MACHINE": finite state machine ♦ Kripke structure ♦ nondeterministic finite tree automaton, nondeterministic tree automaton.
A finite state machine whose transition function maps inputs symbols and states to a (possibly empty) set of next states.
The transition function also may map the null symbol (no input symbol needed) and states to next states.
www.websters-online-dictionary.org /definition/NONDETERMINISTIC+FINITE+STATE+MACHINE   (227 words)

  
 Regular language - RecipeFacts   (Site not responding. Last check: 2007-11-07)
A regular language is a formal language (i.e., a possibly infinite set of finite sequences of symbols from a finite alphabet) that satisfies the following equivalent properties:
If Σ is a finite alphabet and Σ* denotes the free monoid over Σ consisting of all strings over Σ, f : Σ* → M is a monoid homomorphism where M is a finite monoid, and S is a subset of M, then the set f
The language L is regular if and only if the number of equivalence classes of ~ is finite; if this is the case, this number is equal to the number of states of the minimal deterministic finite automaton accepting L.
www.recipeland.com /encyclopaedia/index.php/Regular_language   (584 words)

  
 Learning Finite State Machines
Finite state machines are machines that "transition" between a finite number of "states".
The states on this diagram are A, B, C, D, and E. States represent the possible "states" the machine can be in.
Transitions move the machine from state to state, depending on the input (which is a member of the alphabet) and the current state (which is a member of the states).
www.speakeasy.org /~lion/proj/prognotes/FSM   (892 words)

  
 The First Half-Semester
In the first half of the semester the models that are introduced are the logic circuit, the deterministic and nondeterministic finite-state machine, the random access machine (RAM), and the deterministic and nondeterministic Turing machine.
We define nondeterministic machines with memory to be deterministic machines with an external input associated with a choice agent that makes the choices to disambiguate next states in the nondeterministic machine.
Thus, a nondeterministic FSM has two inputs, the standard input and a new one associated with the choice agent.
www.cs.brown.edu /~jes/book/first_course/node3.html   (487 words)

  
 Finite State Machine - Definition of Finite State Machine by Webster's Online Dictionary   (Site not responding. Last check: 2007-11-07)
Finite State Machine - (FSM or "Finite State Automaton", "transducer") An abstract machine consisting of a set of states (including the initial state), a set of input events, a set of output events, and a state transition function.
In a probabilistic FSM there is a predetermined probability of each next state given the current state and input (compare Markov chain).
Kleene, "Representation of events in nerve nets and finite automata", 1956, Automata Studies.
www.webster-dictionary.org /definition/finite%20state%20machine   (359 words)

  
 CSCI 4602 Fall 2002
We introduced nondeterministic machines with epsilon-transitions, and showed how to get rid of the epsilon-transitions without changing any of the answers that the machine gives.
We looked at machines with multiple tracks, multiple heads and multiple tapes, as well as machines with a random access memory, and saw that none are more powerful than a single-tape Turing machine.
A machine that has just two counters, which it can increment, decrement and check for zero, is as powerful as a Turing machine.
www.cs.ecu.edu /~karl/4602/fall02   (909 words)

  
 [No title]
Definition of a Nondeterministic Finite State Machine (NDFSM/NFA) M = (K, (, (, s, F), where K is a finite set of states (is an alphabet s (K is the initial state F (K is the set of final states, and (is the transition relation.
It is a finite subset of (K (((({(})) (K i.e., each element of (contains: a configuration (state, input symbol or (), and a new state.
A Nondeterministic FSA L= {w : there is a symbol ai((not appearing in w} The idea is to guess (nondeterministically) which character will be the one that doesn't appear.
www.cs.utexas.edu /~cline/ear/automata/CS341-Fall-2004-Packet/1-LectureNotes/05-RegularHandout.doc   (639 words)

  
 Generalized nondeterministic finite state machine - Encyclopedia, History, Geography and Biography
In the theory of computation, a generalized nondeterministic finite state machine or generalized nondeterministic finite automaton (GNFA) is a NFA where each transition may be labeled with any regular expression.
This encyclopedia, history, geography and biography article about Generalized nondeterministic finite state machine contains research on
Generalized nondeterministic finite state machine, Formal definition and Computational models.
www.arikah.net /encyclopedia/GNFA   (252 words)

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