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# Topic: Deterministic finite state machine

 Finite state machine 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. 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   (850 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   (1204 words)

 Finite state machine - LearnThis.Info Enclyclopedia   (Site not responding. Last check: 2007-11-07) In the theory of computation, a finite state machine (FSM) or finite state automaton (FSA) is an abstract machine that has only a finite, constant amount of memory. 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). encyclopedia.learnthis.info /f/fi/finite_state_machine.html   (544 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 second condition says that given each character of string X, the machine will transition from state to state as ruled by the transition function T. 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. en.wikipedia.org /wiki/Deterministic_finite_state_machine   (562 words)

 Finite state machine Article, Finitestatemachine Information   (Site not responding. Last check: 2007-11-07) Finite state machines are studied inautomata theory, a subfield of theoretical computerscience. Nondeterministic automata are usually implemented by convertingthem to deterministic automata—in the worst case, the generated deterministic automaton is exponentially bigger than the nondeterministic automaton (although itcan 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 Mealymachines). www.anoca.org /automata/machines/finite_state_machine.html   (547 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)

 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)

 Background Finite State Machines (FSM), also known as Finite State Automation (FSA), at their simplest, are models of the behaviors of a system or a complex object, with a limited number of defined conditions or modes, where mode transitions change with circumstance. State space is an extension on the idea of semantic networks, where a node denotes a valid state and the edges transitions between states. State space, unlike FSM, requires both an initial state and a goal state, and is typically used in problem solving domains where a sequence of actions is required for solving the overall problem (sequence from initial to goal states). www.ai-depot.com /depot/FiniteStateMachines/FSM-Background.html   (1909 words)

 NDFSM Simulator by Varun & Charles   (Site not responding. Last check: 2007-11-07) deterministic or non deterministic along with the input expressions on which the functionality of the machine has to be tested. In this file the user can define the machines that have to be simulated and give all the respective information that would be required to build the finite state machines. The initial state, accepting states and state names used in transitions should all be of the set of state names that is defined on the second line of the machine definition. www.cs.utexas.edu /users/wagner/nfsm.html   (411 words)

 [No title]   (Site not responding. Last check: 2007-11-07) second line: a list of characters forming the alphabet remaining lines: state state state for example, the file might look like: 3 2 5 a b 1 2 3 2 4 3 3 4 3 4 1 2 5 1 3 3 would be the start state and 2 and 5 the final states. The above example says (third line) state 1 on a goes to state 2, state 1 on b goes to state 3, (fourth line) state 2 on a goes to state 4, etc. Line 1 of the file will be of the form integer space integer for as many integers as required. State 3 on a goes to state 1, on b goes nowhere, on empty goes to 2. www.unf.edu /public/cot3210/ree/Projects/prj1   (553 words)

 15-211: Finite State Machine practice problems 1   (Site not responding. Last check: 2007-11-07) Following are some exercises on finite state machines. For the problems in this section, draw a deterministic finite state machine which implements the specification. Consider machines which accept a stream of 1 or more bits (the alphabet is limited to 1's and 0's), and whose output is 1 (accepting) or 0 (rejecting). www.cs.cmu.edu /~tom7/211/fsm1.html   (176 words)

 ACM Lisp Pointers 4, 2 (Apr/Jun 1991), 3-15. Finite state machines consist of an alphabet, a number of states, one of which is designated as an "initial" or "starting" state, and some of which are "final" or "accepting" states, and a relation which maps a combination of a state and an alphabet letter into a "next" state. Given any finite state machine, it can be algorithmically converted into a deterministic finite state machine by simulating sets of states starting from the singleton set consisting of the initial state, and tracing out all state combinations, which are necessarily finite. Deterministic finite state machines make excellent parsers because they can be implemented very efficiently on serial computers using table-lookup, and their speed is therefore independent of the complexity of the next-state function. www.pipeline.com /~hbaker1/Prag-Parse.html   (5757 words)

 LURCH - TheBestLinks.com - Finite state machine, Software testing, Deterministic, State (computer science), ...   (Site not responding. Last check: 2007-11-07) Conventional algorithms for exploring a system's state space are deterministic, in that they have specific decision paths for mapping inputs to outputs. Deterministic analysis is often considered safer than nondeterministic methods since it explores all possible system states in an exhaustive and thorough way. Much evidence supports the notion of clumping, where the effective state space of a program is relatively small when compared to all reachable states. www.thebestlinks.com /LURCH.html   (545 words)

 11 Finite State   (Site not responding. Last check: 2007-11-07) The state of the machine is held in the output flip-flop c. Fortunately, the output function is simply a combinational function of the state (in the case of a classifier or acceptor) or of the state and input (in the case of a transducer). Not only is the number of states too big to fit in the memory of a computer that would be usable as a tool for analyzing such finite-state machines, it is also impossible for a human to understand the workings of a machine based on explicit representation of its states. www.cs.hmc.edu /claremont/keller/webBook/ch12   (10653 words)

 [Markov Machines] - A New Kind of Science: The NKS Forum A Markov machine is a non-deterministic finite state machine specified by a state transition probability matrix or STM. State 2 is a "garden of Eden" state that occurs only on transients aka from initial conditions, but takes a while to decay (some remaining in a large sample e.g.). But at the micro-level, state 4 comes in "runs" (almost always remaining stable, with only one unlikely decay alternative), while state 3 is quite unstable (sprays into all states, and rarely remains in its original one for 2 consecutive steps). forum.wolframscience.com /archive/topic/577-1.html   (1994 words)

 Deterministic finite state machine - TheBestLinks.com - DFA, Finite state machine, Formal language, Regular expression, ...   (Site not responding. Last check: 2007-11-07) Deterministic finite state machine - TheBestLinks.com - DFA, Finite state machine, Formal language, Regular expression,... DFA, Deterministic finite state machine, Finite state machine, Formal language... 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 a unique next state. www.thebestlinks.com /DFA.html   (367 words)

 Adaptive testing and ordering adaptive test cases   (Site not responding. Last check: 2007-11-07) The existence of an internal state creates a number of issues in testing, such as the necessity to set up the state for a test (the controllability problem) and to check the state after the test (the observability problem). The use of adaptive tests cases is often essential where the specification is either nondeterministic or incomplete and may be useful where we wish to have robust tests; tests that may achieve their test purpose (such as testing a particular transition) even if there is an earlier failure. When testing a deterministic system, it is possible for the response of the system to one adaptive test case t1 to fully determine the response of the system to another adaptive test case t2. people.brunel.ac.uk /~csstrmh/research/adaptive_testing.html   (405 words)

 Managing the MIDlet Life-Cycle with a Finite State Machine The state machine begins in the start state, and the transition function moves it from one state to the next based on two factors: the current state of the FSM and an input symbol to the transition function: A simple way to implement a transition function is with a switch statement, which implements the acceptor, recognizer, and transducer that decode an input state and cause the transition to a new state. The FSM enables the MIDlet to handle the paused state properly, such as when incoming calls are received, or the destroyed state, such as when the user has exited the application inadvertently. developers.sun.com /techtopics/mobility/midp/articles/fsm   (2158 words)

 deterministic finite state machine   (Site not responding. Last check: 2007-11-07) Definition: A finite state machine with at most one transition for each symbol and state. A machine that has at least one transition for each symbol and state is sometimes called "complete". Paul E. Black, "deterministic finite state machine", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST. www.nist.gov /dads/HTML/determFinitStateMach.html   (105 words)

 15-211: Finite State Machine practice problems 1 (answers) Since #a is unbounded, this machine would need an infinite amount of states, or some infinite auxilliary storage. In order for a machine to keep track of exactly how many A's we've had, we'd need at least one state for each possibility. In contrast to 4d and 4e, this machine is able to "count" since #a mod 3 and #b mod 3 are always bounded. www.cs.cmu.edu /~tom7/211/fsm1-answers.html   (345 words)

 Grail man pages   (Site not responding. Last check: 2007-11-07) flfilter intersect a finite language with a finite-state machine fmenum enumerate the language of a finite state machine fmtofl convert a finite-state machine to a finite language (if the language of the machine is finite) www.fmi.uni-stuttgart.de /ti/grail/grail-man-pages   (167 words)

 Documentation The machine can be fed events, and it will transition from state to state as appropriate. The model used for a state machine parallels the graph data structure: individual states are nodes in the graph, while transitions correspond to directed edges between nodes. This way a potential user of our code would have the option of either, and someone who wished to implement a graphical applet using a finite state machine would not be stuck with a class that only outputs things to the console. www.cs.virginia.edu /~drl7x/se/proj1   (854 words)

 KOI: Lab Exercise 4   (Site not responding. Last check: 2007-11-07) This exercise is about lexical analysis (scanning), with a hand-crafted deterministic finite state machine, and with a Lex-generated scanner. A finite state automaton, also called finite state machine, (in Swedish: ändlig tillståndsmaskin, ändlig tillståndsautomat), can be in one of several states. State 3 is the end state, marked with a double ring. aass.oru.se /~tpy/koi/2004-2005-p1/labs/lab-4   (535 words)

 Finite State Machine   (Site not responding. Last check: 2007-11-07) In this case 1 is the starting state, a is the transition element and 2 is the ending state. The accepting states are stored in a linked list to allow for any number of states, and for optimal memory usage. The number and name of states are implicitly defined by the rules that the user enters, and are not asked to be defined separately by the user. www.omlettesoft.com /document.php3?did=113   (385 words)

 Finite state machine - Wikipedia 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. 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. condor.depaul.edu /~ichu/csc415/notes/notes10/fsa.htm   (696 words)

 [No title] Thus state f is “unreachable.” The empty string expression (, specifying the empty string language {(}, can be represented as an MNFA with two states s and f, having only one nonempty transition image, namely ((s, () = f. This leads naturally to the idea that, for example, if a string abc moves us from state 0 to state 7, then we could draw an arc on the state diagram from node 0 to node 7 and label this new arc with abc. An arc from state qa to qb is denoted by (qa, qb). penguin.ewu.edu /class/cscd420/hamel/CSCD420_F2005.doc   (2402 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. A deterministic FSM is one where the next state is uniquely determinied by a single input event. 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. burks.brighton.ac.uk /burks/foldoc/65/42.htm   (334 words)

 CS 343: Finite State Machine Examples   (Site not responding. Last check: 2007-11-07) Construct a deterministic finite state machine (DFSM) which accepts all strings of a's and b's with exactly 3 a's in them. Construct a DFSM accepting all strings of a's and b's which do not contain the substring aaa. Construct a DFSM for the same problem (which deterministically accepts all strings of a's and b's containing babab). www.uwplatt.edu /csse/Courses/prev/f02/cs343/fsm   (81 words)

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