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# Topic: Non deterministic finite automaton

 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/st/State_diagram.html   (830 words)

 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. In addition to their use in modeling reactive systems presented here, finite state automata are significant in many different areas, including linguistics, computer science, philosophy, biology, mathematics, and logic. Finite state machines are one type of the automata studied in automata theory and the theory of computation. en.wikipedia.org /wiki/Finite_state_machine   (1507 words)

 PlanetMath: non-deterministic finite automaton Furthermore, it is a straight-forward process to generate an NDFA for any regular grammar. 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. This is version 1 of non-deterministic finite automaton, born on 2002-02-24. planetmath.org /encyclopedia/NonDeterministicFiniteAutomaton.html   (571 words)

 Non-deterministic Turing machine - Wikipedia, the free encyclopedia In theoretical computer science, a non-deterministic Turing machine (NTM) is a Turing machine whose control mechanism works like a non-deterministic finite automaton. An ordinary (deterministic) Turing machine (DTM) has a transition function that, for a given state and symbol under the tape head, specifies three things: the symbol to be written to the tape, the direction (left or right) in which the head should move, and the subsequent state of the finite control. For example, an X on the tape in state 3 might make the DTM write a Y on the tape, move the head one position to the right, and switch to state 5. en.wikipedia.org /wiki/Non-deterministic_Turing_machine   (723 words)

 PlanetMath: non-deterministic pushdown automaton A non-deterministic pushdown automaton (or PDA) is a variation on the idea of a non-deterministic finite automaton (NDFA). Like an NDFA, a PDA can be presented visually as a directed graph. This is version 4 of non-deterministic pushdown automaton, born on 2002-02-24, modified 2003-07-25. planetmath.org /encyclopedia/PushdownAutomaton.html   (390 words)

 SEM1A5 - Part 2 - Issues in implementation and adequacy for Finite State Automata   (Site not responding. Last check: 2007-10-25) 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)

 Regular expression - Wikipedia, the free encyclopedia Regular expressions correspond to the type 3 grammars of the Chomsky hierarchy and may be used to describe a regular language. On the other hand, there is a simple mapping between regular expressions and nondeterministic finite automata (NFAs) that does not lead to such a blowup in size; for this reason NFAs are often used as alternative representations of regular expressions. It is possible to write an algorithm which for two given regular expressions decides whether the described languages are essentially equal, it reduces each expression to a minimal deterministic finite state automaton and determines whether they are isomorphic (equivalent). en.wikipedia.org /wiki/Regular_expression   (3804 words)

 No Title   (Site not responding. Last check: 2007-10-25) sketch a deterministic finite automaton for each of these languages. Sketch a simple non-deterministic finite automaton accepting the language generated by the regular expression (ab xc8 aab xc8 aba)*. Convert the non-deterministic finite automaton you found in Problem 2 to a deterministic finite automaton using the method we discussed in class. www.mcs.drexel.edu /~rweaver/COURSES/MCS559/HOMEWORKS/H3.html   (201 words)

 [No title] The parser is a stack (or pushdown) automaton, which is a finite automaton equipped with a stack of the nonterminals parsed so far. The automaton states are numbered (0 to 25 in this case) but their numbers have nothing to do with the grammar rule numbers above. If there is an automaton state such as #20 on top of the stack, then that state's transition table and the next input symbol determines the action. www.itu.dk /courses/PFOO/F2002/notes03.txt   (2778 words)

 The Nature of Stuff   (Site not responding. Last check: 2007-10-25) 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   (1772 words)

 GaniFA Documentation   (Site not responding. Last check: 2007-10-25) Generation of a non-deterministic finite automaton (NFA) from a regular expression RE. In particular, it is possible to visualize only some of the algorithms and to pass a finite automaton or a regular expression as well as an input word to the applet. If a finite automaton is given as a parameter of the applet, this visualization can not be switched on. rw4.cs.uni-sb.de /~ganimal/GANIFA/doc   (737 words)

 PlanetMath: non degenerate quadratic form (=non-degenerate quadratic form) owned by CWoo non singular quadratic form (=non-degenerate quadratic form) owned by CWoo proof that number of sum-product numbers in any base is finite owned by rspuzio planetmath.org /encyclopedia/N   (1549 words)

 CA215 Exercises   (Site not responding. Last check: 2007-10-25) Construct deterministic finite automata to recognise each of the languages specified in question 2. Construct deterministic finite automata to recognise each of the languages specified in question 3. Construct a finite state automaton which can be used to recognise the same language. www.compapp.dcu.ie /~hamilton/teaching/CA215/exercises/regqns.html   (184 words)

 A Partial Deterministic Automaton for Approximate String Matching   (Site not responding. Last check: 2007-10-25) One of the simplest approaches to approximate string matching is to consider the associated non-deterministic finite automaton and make it deterministic. Besides automaton generation, the search time is O (n) in the worst case, where n is the text size. We study the idea of generating the deterministic automaton on the fly. www.dcc.uchile.cl /~gnavarro/abstracts/wsp97.2.html   (138 words)

 Finite state machine - Wikipedia For each non-deterministic FSM a deterministic FSM of equeal computational power can be constructed with an algorithm. 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. In hardware a fsm may be directly implemented using a Programmable logic device. condor.depaul.edu /~ichu/csc415/notes/notes10/fsa.htm   (696 words)

 ASSIST Tool : A Simple SImulator for State Transitions   (Site not responding. Last check: 2007-10-25) The non deterministic pushdown stack automaton is the last recognizer implemented. Because of the non deterministic nature of this automaton addition features were added to the display. The non deterministic pushdown automaton's thread terminates after the history is completed. www.cs.binghamton.edu /~software/project.html   (3003 words)

 [No title] For illustration, we will consider the problem of printing out a non-deterministic finite automaton (NFA) and transforming it into a deterministic finite automaton (DFA). An automaton is then a list of starting states. For example, the state labeled '1' in the automaton dom18 refers to itself. okmij.org /ftp/Haskell/CCard-transform-DFA.lhs   (855 words)

 Computation Theory of Cellular Automata (1984) corresponds to a state of the finite automaton, and each arc to a transition in the finite automaton, or equivalently to a production rule in the grammar represented by the finite automaton. for a deterministic finite automaton (DFA) obtained from the non-deterministic finite automaton of Fig. In most cases, the minimal DFA that generates all (two-way) infinite words of a regular language is the same as the minimal DFA constructed above that recognizes all finite (or one-way infinite) sequences of symbols in words of the language. stephenwolfram.com /publications/articles/ca/84-computation/3/text.html   (1340 words)

 Department of Computer Science   (Site not responding. Last check: 2007-10-25) In this paper, we outline the design of a non-deterministic finite state automaton (NFSA) for natural language morphology, and compare it to previous work in unsupervised learning of morphology. In Section 3, we present an alternative model which is a non-deterministic finite state automaton, distinguishing between convergent and divergent states, a difference that corresponds to inflectional versus derivational morphology and specify an MDL model based it. In Section 4, we review the ways in which a Patricia trie has been used by several authors as a bootstrap means for finding morphemes, and the final sections describe the ways in which we are focusing on obtaining layers of morphological structure. www.cs.uchicago.edu /research/publications/techreports/TR-2005-05   (181 words)

 [No title] My comments are prepended with 3 asterisks (load "~cs20/lisp/base") (cs20-load "Automaton") ;;--------------------------------------------------------------------- ;; The class NFA defines a Non-deterministic Finite Automaton by ;; inheriting the 5-tuple of (Vertices, Edges, Alphabet, start, Accept) ;; from the Automaton class. Note that WFAs are still deterministic, because two transitions ;*** leaving the same state can be labelled by the same letter. The labels ;*** are restricted to exactly one letter because this assumption is made ;*** by the authors of the paper I am presenting and is relied on in their ;*** proofs. www.cs.caltech.edu /~joe1/WFA.lsp   (276 words)

 Department of Computer Science, University of Otago, New Zealand Examples are given where this set of restrictions is finite and where it is infinite. Such a relation can be used to reduce the number of states in a non-deterministic finite-state automaton as a preliminary step before determinization. It is shown that, if the number of simple permutations in a pattern restricted class of permutations is finite, the class has an algebraic generating function and is defined by a finite set of restrictions. www.cs.otago.ac.nz /trseries   (4424 words)

 Non-Determistic Automata   (Site not responding. Last check: 2007-10-25) An input sequence is accepted by such a Non-deterministic Finite State Automaton (NFSA) if any sequence of transitions, corresponding to the input sequence, leads from the start state to an accept state. Since there is at least one choice of transitions that lead it to an accept state on reading the last 'b', it accepts the string. In each of these cases, the language may be recognised by either a deterministic or a non-deterministic FSA. www.soi.city.ac.uk /~bernie/tcomp/Topic1/Section4.htm   (516 words)

 [No title]   (Site not responding. Last check: 2007-10-25) Extend the program to create a corresponding Deterministic Finite Automaton corresponding to the NFA from the first phase. Firstly, the finite set of strings on which the machine is to be built, e.g., {ab, abd, d, adc}, not regular expressions. Subsequently, your machine should run on a string (e.g., abc) and output "accept" or "reject." Intermediate phase of the project should output a transition function on a file. www.cs.fit.edu /~dmitra/FormaLang/Spr05.d/ProgAsnmt1Sp05.txt   (498 words)

 NFA   (Site not responding. Last check: 2007-10-25) This is the automaton, as described by the concept file, without additionnal restriction...You are allowed as many initial states as you want, and you can go to multiple states from one using the same label Those are exactly the same as defined in automaton. Those have already been defined in automaton, they are reprinted here with their exacts arguments and return types for NFA www-igm.univ-mlv.fr /~lemaout/ASTL/DOC/NFA.html   (257 words)

 Encyclopedia :: encyclopedia : Finite   (Site not responding. Last check: 2007-10-25) This page is about the sporadic finite simple group Th. For the infinite Thompson groups F, T and V see Thompson groups. In mathematics, the finite Thompson group Th is one of the 26 sporadic finite simple groups. www.hallencyclopedia.com /Finite   (308 words)

 [No title]   (Site not responding. Last check: 2007-10-25) The following theorem proves that for every NFA there is an equivalent FA: Theorem For each non-deterministic finite automaton there is a deterministic finite automaton which accepts exactly the same language. The state of a FA is defined by the current state and the current symbol since for each symbol there is precisely one transition. M’ is certainly deterministic but it is also very far from an optimal solution. uzweb.uz.ac.zw /science/cs/ct324/03-NFA.doc   (1276 words)

 [No title]   (Site not responding. Last check: 2007-10-25) Let S be an infinite string over a finite alphabet. We say that a finite automaton A accepts S if, when A runs on S, final states in A occur infinitely often. Problem: Prove that there exists a language consisting of infinite strings which is recognizable by a non-deterministic finite automaton A, but not by any deterministic finite automaton. www.csua.berkeley.edu /~ilyas/problems/buchi   (70 words)

 free baby machine embroidery design   (Site not responding. Last check: 2007-10-25) It is an automaton designed to implement an effective or mechanical method of solving functions (determining the truth value of propositions). The emphasis was on finiteness: a finite number of instructions, a finite number of symbols in each instruction, a finite number of steps to the result. It seems that a probabilistic automaton which will deal with semi recursive functions will tackle the wavefunction without any discernible difficulties — but a new element must be introduced to account for the measurement and the resulting collapse. www.acg-embroidery.com /freebabymachineembroiderydesign.html   (2078 words)

 Automaton   (Site not responding. Last check: 2007-10-25) The two most basic informations about states are their finality (ie:inital and/or final, or none), a valid word being defined by the path between an initial and a final state. While all automata handle the same kind of operations (adding and removing states, setting transitions,...) their is some diferences depending on wether you assume that, from a given state and by a given label, you can reach one or more state. Technically: wether you are using a deterministic or a non deterministic automaton. www-igm.univ-mlv.fr /~lemaout/ASTL/DOC/automata.html   (446 words)

 ndfa   (Site not responding. Last check: 2007-10-25) The National Development Finance Agency (NDFA) was established on 1st January 2003. The winners of all NDFA member festivals are eligible to be invited. A non-deterministic finite automaton (or NDFA) can be formally defined as a 5-tuple, where is a finite set of states, is the alphabet (defining what set of... www.publiweb.com /gratis/n/ndfa.html   (240 words)

 AND/IF 1.0 -- a file format for exchanging finite automata descriptions An ad hoc meeting of several members of the research community working on techniques for designing and analyzing asynchronous systems felt it would be a good idea to define a simple text file format for exchanging descriptions of finite automata and similar structures. Identifiers will be used to tag different parts of the file, to name states, to name symbols in the alphabet of the finite automaton, and for other purposes explained below. Identifiers are not case sensitive (i.e., NAME is equal to name and Name). edis.win.tue.nl /and-if/and-if-1.0.html   (1941 words)

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