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# Topic: Finite state automaton

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 Kids.Net.Au - Encyclopedia > Finite state automaton Finite state machines are studied in automata theory, a subfield of theoretical computer science. 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. A FSM may be represented using a state transition table or a state diagram. www.kids.net.au /encyclopedia-wiki/fi/Finite_state_automaton   (856 words)

 Tables of Cellular Automaton Properties (1986) State transition diagrams for cellular automata on finite size lattices. State transition diagram fragments have the general form of cycles fed by trees. Some finite cellular automata, such as rule 13, are reversible, so that their state transition diagrams contain no transients, and all states are on cycles. www.stephenwolfram.com /publications/articles/ca/86-caappendix/14/text.html   (467 words)

 Finite-state automaton - Esolang FSAs can be depicted as transition tables, or more intuitively, as directed graphs where vertices are states and edges are transitions from state to state. For the purposes of a recognizing a string to be part of a formal language such as a regular expression, the signals are the symbols of the string, and the final state determines whether the FSA "accepts" the string or not - i.e., whether the formal language associated with the FSA includes that string. An FSA of this kind would typically generate no output, but merely finish in an 'accept' or 'reject' state, and is known as an acceptor or recogniser. esoteric.voxelperfect.net /wiki/Finite_state_machine   (621 words)

 Processor pipeline description - GNU Compiler Collection (GCC) Internals The pipeline hazard recognizer generated from the machine description is based on a deterministic finite state automaton (DFA): the instruction issue is possible if there is a transition from one automaton state to another one. Sometimes the generated finite state automaton used by the pipeline hazard recognizer is large. If we use more than one automaton and bind functional units to the automata, the total size of the automata is usually less than the size of the single automaton. gcc.gnu.org /onlinedocs/gccint/Processor-pipeline-description.html   (2015 words)

 GNU Go Documentation: DFA Its states are the couples (l,r) where l is a state of L and r is a state of R. The state (0,0) is the error state of B and the state (1,1) is its initial state. 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. www.gnu.org /software/gnugo/gnugo_10.html   (1483 words)

 Linear-bounded automaton@Everything2.com The regular language is recognized by a regular expression or finite state automaton (they are ultimately the same thing). A context free language is recognized by a pushdown automaton which is a finite state automaton with a stack. It is also possible to draw this out in a state table similar to that found in finite state automaton. www.everything2.com /index.pl?node_id=1394039   (792 words)

 Does a Rock Implement Every Finite-State Automaton? We associate the initial physical state of the system with an initial state of the FSA and associate subsequent physical states of the system with subsequent states of the FSA, where the FSA state-evolution is determined by its state-transition rules. However, an FSA will often specify the machine's behavior for more than one initial state; and more importantly the fact that there is a cycle in the state-space is a contingent feature of Putnam's example, and his argument is supposed to be perfectly general. The dial state is represented by j, and the sequence of inputs in the recorder is represented by the sequence i_1,..., i_n. consc.net /papers/rock.html   (10357 words)

 finite state automaton : Java Glossary A finite state automaton is a way of looking at a computer, a way of solving parsing problems, and a way of designing special purpose hardware. The automaton at any time in is one of a finite number of internal states. In 1.4-, one way of writing finite state automata was to have a singleton class represent each possible state. www.mindprod.com /jgloss/finitestate.html   (579 words)

 Cascaded Finite-State Transducers A finite-state automaton reads one element at a time of a sequence of elements; each element transitions the automaton into a new state, based on the type of element it is, e.g., the part of speech of a word. Some states are designated as final, and a final state is reached when the sequence of elements matches a valid pattern. In a finite-state transducer, an output entity is constructed when final states are reached, e.g., a representation of the information in a phrase. www.isi.edu /~hobbs/biomed/node2.html   (1345 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. Jan Daciuk's Finite state utilities (C++) including many links to other code, papers, etc. Finite State Automata Utilities (Prolog), which generate C code, minimize, visualize, etc. Page has binaries, too. www.nist.gov /dads/HTML/finiteStateMachine.html   (308 words)

 Automata theory Summary For each state, each possible input symbol, and each possible symbol at the top of the stack, a rule describes whether to look at the next or previous input symbol, which state to move to, and whether to push a symbol or pop a symbol from the stack. The linear-bounded automaton replaces the stack of the pushdown automaton with a string of symbols called the worktape that is allowed to be only a constant factor larger than the input string. States of an automaton of this kind may or may not have a transition for each symbol in the alphabet, or can even have multiple transitions for a symbol. www.bookrags.com /Automata_theory   (1964 words)

 A2 Implementing two-level rules as finite state machines The simplest finite state machine is a finite state automaton (FSA), which recognizes (or generates) the well-formed strings of a regular language (a certain type of formal language---see Chomsky 1965). State 1 is the initial state and state 3 is the final state (signified by the double circle). The rows of the table represent the three states of the FSA diagram, with the number of the final state marked with a colon and the numbers of the nonfinal states marked with periods. www.sil.org /pckimmo/v2/doc/Rules_2.html   (2462 words)

 CSCI 172 99f Lab 4: Finite Automata   (Site not responding. Last check: ) A Finite State Automaton is a machine that eats input and changes internal state based on its current state and the input it just ate. Draw a finite state automaton to determine if a given string of characters is a legal C++ identifier. Draw a finite state automaton that has two states, "ignore" and "output." The automaton should start in the "output" state and moves to the ignore state whenever it encounters an html tag, then back to the output state when the html tag has completed. www.cs.xu.edu /csci172/99f/lab4   (306 words)

 Finite Automata A reduced automaton is used to represent the ``discernable'' structure of a dynamical system; you cannot expect a learner to discern the difference between two states if no sequence of inputs and outputs serves to distinguish them. In a probabilistic finite automata (PFA), the output in state q is a random function of q, and the state following q is a deterministic function of q and the output in q. PFSA is a PFA in which each state in Q has a unique label corresponding to a sequence (string) of outputs and, moreover, the label for f(q,h(q)) is a suffix of the sequence defined by concatenating the output h(q) to the label for q. www.cs.brown.edu /research/ai/dynamics/tutorial/Documents/FiniteAutomata.html   (1520 words)

 Finite-State Automata Beginning with what is called its initial state, the control unit executes a transition as each word is provided to it by the read unit, with these transitions being determined by the transition function of the automaton. 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. In a transition network diagram for an automaton that is equivalent to a finite grammar, the arcs are labelled with the words from the terminal vocabulary of the grammar. web.uvic.ca /~ling48x/ling484/notes/fsa.html   (2176 words)

 SEM1A5 - Part 2 - Issues in implementation and adequacy for Finite State Automata   (Site not responding. Last check: ) 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)

 AT&T Labs Research An approximate weighted finite-state automaton can be created from a non-deterministic weighted finite-state automaton during determinization by discarding the requirement that old states be used in place of new states only when an old state is identical to a new state. Instead, in an approximate weighted finite-state automaton, old states will be used in place of new states when each of the remainders of the new state is sufficiently close to the corresponding remainder of the old state. If the remainders of the new state are sufficiently close to the remainders of the old state, a new transition is created from a current state to the old state rather than the new state. www.research.att.com /viewPatent.cfm?Number=6073098   (184 words)

 1.1 Finite State Recognizers and Generators   (Site not responding. Last check: ) Finite state automata are used a lot for all kinds of things in computational linguistics. That means they cannot look ahead at the states that come and also don't have any memory of the states they have been in before or the symbols that they have emitted. Finite state recognizers are simple computing machines that read (or at least try to read) a sequence of symbols from an input tape. www.coli.uni-saarland.de /~kris/nlp-with-prolog/html/node2.html   (871 words)

 27-320 Programming Assignment #1   (Site not responding. Last check: ) The vertices of the graph correspond to the states of the FSA. We can picture a FSA as a finite control, which is in some state from Q, reading a sequence of symbols from A written on a tape. In one move, the FSA in state q and scanning symbol a enters state t(q,a) and moves its head one input symbol to the right. hebb.cis.uoguelph.ca /~dave/27320/PAssign/fsa1.html   (1060 words)

 Finite State Automata and Regular Languages A finite state automaton is called deterministic if for every vertex the outcomming edges are labeled distinctly. The language recognized by a finite state automaton will not be changed if we erase every state v in the automaton for which: (a) there is no path from an initial state to v, or (b) there is no path from v to a terminal state. The process of erasing such states is called trimming and the obtained automaton is called trimmed. www.math.usf.edu /~jonoska/symbolic/node8.html   (550 words)

 Assignment 16 - Finite Automaton   (Site not responding. Last check: ) A finite automaton is an algorithm with a finite memory which scans through an input string or text. The finite memory is given by states, one of them being a starting state and several accepting states. The type of finite automata dealt with here is called deterministic since the function to compute the new state permits always only one unique value; otherwise the automaton would be called nondeterministic. www.comp.nus.edu.sg /~gem1501/assignment16.html   (1553 words)

 Finite State Automata   (Site not responding. Last check: ) A set of sequences of symbols gathered by pursuing all paths from initial states to the final ones is called the language accepted by the automaton. A state is said to be reachable from another state iff there is a sequence of transitions leading to the state from that other state. An automaton is useful iff it is start-useful and for every state there is at least one final state reachable from that state. www.eti.pg.gda.pl /katedry/kiw/pracownicy/Jan.Daciuk/personal/thesis/node12.html   (1437 words)

 Inside Architecture : How is workflow different from a Finite State Automata? For those of you who aren't familiar with FSA theory, this is a segment of computer science that goes back to the earliest days of computing. However, what really distinguishes Finite State Automata from workflow programming, in my mind, are the three layers of abstraction inherent in Workflow analysis. Finite State Automaton development requires a pre-processing step, where you take the input and interpret it as a series of tokens in a language. blogs.msdn.com /nickmalik/archive/2004/12/28/339080.aspx   (523 words)

 Finite State Machine from FOLDOC 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. The next state of a nondeterministic FSM (NFA) depends not only on the current input event, but also on an arbitrary number of subsequent input events. Each state in the DFA represents the set of states the NFA might be in at a given time. www.foldoc.org /?Finite+State+Automaton   (362 words)

 Autogenerate source code for a finite state automaton applying XML/XSLT - The Code Project - SOAP and XML Finite state automaton is useful in a couple situation for example: parsing protocols, tracing user input etc. But it has a big lack: automaton's source code is a very big. Finite state automaton is a set of states and transitions between states. This approach I've used during creation a finite state automaton for tracing of user input in one of my GUI control. www.codeproject.com /Purgatory/parser.asp?df=100&forumid=212442&exp=0&select=1212743   (488 words)

 Reference Manual of the LAML Finite State Automaton library The equality used for states in a finite state automaton. The equality used for symbols in a finite state automaton. Construction of deterministic finite automaton af non-deterministic finite state automaton. www.cs.auc.dk /~normark/scheme/lib/man/final-state-automaton.html   (475 words)

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