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2034:, then it can be readily converted to an output-equivalent Mealy machine by setting the output function of every Mealy transition (i.e. labeling every edge) with the output symbol given of the destination Moore state. The converse transformation is less straightforward because a Mealy machine state may have different output labels on its incoming transitions (edges). Every such state needs to be split in multiple Moore machine states, one for every incident output symbol.
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395:. A transition is a set of actions to be executed when a condition is fulfilled or when an event is received. For example, when using an audio system to listen to the radio (the system is in the "radio" state), receiving a "next" stimulus results in moving to the next station. When the system is in the "CD" state, the "next" stimulus results in moving to the next track. Identical stimuli trigger different actions depending on the current state.
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state "Opening" starts a motor opening the door, the entry action in state "Closing" starts a motor in the other direction closing the door. States "Opened" and "Closed" stop the motor when fully opened or closed. They signal to the outside world (e.g., to other state machines) the situation: "door is open" or "door is closed".
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The FSM uses only entry actions, i.e., output depends only on state. The advantage of the Moore model is a simplification of the behaviour. Consider an elevator door. The state machine recognizes two commands: "command_open" and "command_close", which trigger state changes. The entry action (E:) in
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types are used. The most common representation is shown below: the combination of current state (e.g. B) and input (e.g. Y) shows the next state (e.g. C). The complete action's information is not directly described in the table and can only be added using footnotes. An FSM definition including the
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The FSM also uses input actions, i.e., output depends on input and state. The use of a Mealy FSM leads often to a reduction of the number of states. The example in figure 7 shows a Mealy FSM implementing the same behaviour as in the Moore example (the behaviour depends on the implemented FSM
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is limited by the number of states it has. A finite-state machine has the same computational power as a Turing machine that is restricted such that its head may only perform "read" operations, and always has to move from left to right. FSMs are studied in the more general field of
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and a parser. Starting from a sequence of characters, the lexical analyzer builds a sequence of language tokens (such as reserved words, literals, and identifiers) from which the parser builds a syntax tree. The lexical analyzer and the parser handle the regular and
785:(characters); actions are not used. The start state can also be an accepting state, in which case the acceptor accepts the empty string. The example in figure 4 shows an acceptor that accepts the string "nice". In this acceptor, the only accepting state is state 7.
207:. A turnstile, used to control access to subways and amusement park rides, is a gate with three rotating arms at waist height, one across the entryway. Initially the arms are locked, blocking the entry, preventing patrons from passing through. Depositing a coin or
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that is restricted such that its head may only perform "read" operations, and always has to move from left to right. That is, each formal language accepted by a finite-state machine is accepted by such a kind of restricted Turing machine, and vice versa.
947:). There are two input actions (I:): "start motor to close the door if command_close arrives" and "start motor in the other direction to open the door if command_open arrives". The "opening" and "closing" intermediate states are not shown.
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is therefore an accepting state. This acceptor will finish in an accept state, if the binary string contains an even number of 0s (including any binary string containing no 0s). Examples of strings accepted by this acceptor are
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Brutscheck, M., Berger, S., Franke, M., Schwarzbacher, A., Becker, S.: Structural
Division Procedure for Efficient IC Analysis. IET Irish Signals and Systems Conference, (ISSC 2008), pp.18β23. Galway, Ireland, 18β19 June 2008.
2712:"Alur, R., Kanade, A., Ramesh, S., & Shashidhar, K. C. (2008). Symbolic analysis for improving simulation coverage of Simulink/Stateflow models. International Conference on Embedded Software (pp. 89β98). Atlanta, GA: ACM"
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a state. This concept is useful in cases where a number of finite-state machines are required to work together, and when it is convenient to consider a purely combinatorial part as a form of FSM to suit the design tools.
991:) automata. In a deterministic automaton, every state has exactly one transition for each possible input. In a non-deterministic automaton, an input can lead to one, more than one, or no transition for a given state. The
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can announce an error (i.e. reject the input). This is useful in definitions of general state machines, but less useful when transforming the machine. Some algorithms in their default form may require total functions.
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The behavior of state machines can be observed in many devices in modern society that perform a predetermined sequence of actions depending on a sequence of events with which they are presented. Simple examples are:
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963:) are a subclass of acceptors and transducers that have a single-letter input alphabet. They produce only one sequence, which can be seen as an output sequence of acceptor or transducer outputs.
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that set. For example, the set of binary strings with an even number of zeroes is a regular language (cf. Fig. 5), while the set of all strings whose length is a prime number is not.
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in a slot on the turnstile unlocks the arms, allowing a single customer to push through. After the customer passes through, the arms are locked again until another coin is inserted.
367:) show the transitions from one state to another. Each arrow is labeled with the input that triggers that transition. An input that doesn't cause a change of state (such as a
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There are other sets of semantics available to represent state machines. For example, there are tools for modeling and designing logic for embedded controllers. They combine
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that determines the state transition, and a second block of combinational logic that determines the output of an FSM. One of the classic hardware implementations is the
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An acceptor could also be described as defining a language that would contain every string accepted by the acceptor but none of the rejected ones; that language is
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SDL embeds basic data types called "Abstract Data Types", an action language, and an execution semantic in order to make the finite-state machine executable.
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Optimizing an FSM means finding a machine with the minimum number of states that performs the same function. The fastest known algorithm doing this is the
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265:, showing for each possible state, the transitions between them (based upon the inputs given to the machine) and the outputs resulting from each input:
781:. Once all input has been received, if the current state is an accepting state, the input is accepted; otherwise it is rejected. As a rule, input is a
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overcome the limitations of traditional finite-state machines while retaining their main benefits. UML state machines introduce the new concepts of
135:. An FSM is defined by a list of its states, its initial state, and the inputs that trigger each transition. Finite-state machines are of two typesβ
170:. The computational power distinction means there are computational tasks that a Turing machine can do but an FSM cannot. This is because an FSM's
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In addition to their use in modeling reactive systems presented here, finite-state machines are significant in many different areas, including
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algorithm can transform any nondeterministic automaton into a (usually more complex) deterministic automaton with identical functionality.
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Fig. 5: Representation of an acceptor; this example shows one that determines whether a binary number has an even number of 0s, where
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produce output based on a given input and/or a state using actions. They are used for control applications and in the field of
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773:) produce binary output, indicating whether or not the received input is accepted. Each state of an acceptor is either
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2132:, the output is directly connected to the state flip-flops minimizing the time delay between flip-flops and output.
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A finite-state machine with only one state is called a "combinatorial FSM". It only allows actions upon transition
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Wagner, F., "Modeling
Software with Finite State Machines: A Practical Approach", Auerbach Publications, 2006,
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of programming language compilers. Such a frontend may comprise several finite-state machines that implement a
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Any language in each category is generated by a grammar and by an automaton in the category in the same line.
3755:(1st ed.). Englewood Cliffs, N.J.: Prentice-Hall, Inc. Library of Congress Card Catalog Number 59-12841.
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Edward F. Moore (1956). C.E. Shannon and J. McCarthy (ed.). "Gedanken-Experiments on
Sequential Machines".
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3655:(1st ed.). New York: McGraw-Hill Book Company, Inc. Library of Congress Card Catalog Number 65-17394.
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The finite-state machine has less computational power than some other models of computation such as the
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143:. For any non-deterministic finite-state machine, an equivalent deterministic one can be constructed.
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3742:(1st ed.). New York: John Wiley and Sons, Inc. Library of Congress Card Catalog Number 67-25924.
3664:(1st ed.). New York: McGraw-Hill Book Company. Library of Congress Card Catalog Number 65-17394.
3625:(1st ed.). New York: John Wiley and Sons, Inc. Library of Congress Card Catalog Number 67-25924.
3232:(1st ed.). New York: John Wiley and Sons, Inc. Library of Congress Card Catalog Number 67-25924.
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In some finite-state machine representations, it is also possible to associate actions with a state:
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2681:"Harel, D. (1987). A Visual Formalism for Complex Systems. Science of Computer Programming, 231β274"
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The following concepts are commonly used to build software applications with finite-state machines:
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846:(which is also the start state) indicates the state at which an even number of 0s has been input. S
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3723:. These probabilities can be exhibited in the form of a transition matrix" (Kemeny (1959), p. 384)
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684:. In computer science, finite-state machines are widely used in modeling of application behavior (
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Finite-state machines can be subdivided into acceptors, classifiers, transducers and sequencers.
3281:
Computability, Complexity, and
Languages and Logic: Fundamentals of Theoretical Computer Science
2558:
2529:. John Wiley & Sons. Chapter 6. Valuation Algebras for Path Problems, p. 223 in particular.
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into one language, resulting in a different formalism and set of semantics. These charts, like
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246:. In the unlocked state, putting additional coins in has no effect; that is, giving additional
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state) is represented by a circular arrow returning to the original state. The arrow into the
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230:). In the locked state, pushing on the arm has no effect; no matter how many times the input
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In accordance with the general classification, the following formal definitions are found.
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The problem of determining the language accepted by a given acceptor is an instance of the
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is given, it stays in the locked state. Putting a coin in β that is, giving the machine a
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42:
2659:. International Conference on Embedded Software. Jersey City, NJ: ACM. pp. 164β172.
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2629:"Tiwari, A. (2002). Formal Semantics and Analysis Methods for Simulink Stateflow Models"
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Cassandras, C., Lafortune, S., "Introduction to
Discrete Event Systems". Kluwer, 1999,
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There are a large number of variants to represent an FSM such as the one in figure 3.
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at any given time. The FSM can change from one state to another in response to some
17:
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2056:, or the Moore reduction procedure. Additionally, acyclic FSAs can be minimized in
856:
222:. There are two possible inputs that affect its state: putting a coin in the slot (
589:, which are associated with states rather than transitions, as in Moore machines.
3747:
Kemeny, John G.; Mirkil, Hazleton; Snell, J. Laurie; Thompson, Gerald L. (1959).
3052:
2592:
2376:
4120:
4042:
3967:
3790:, comparing theoretical aspects of Mealy, Moore, Harel & UML state machines.
3513:
3077:
2687:
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For both deterministic and non-deterministic FSMs, it is conventional to allow
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2963:
2909:
Digital
Integrated Circuit Design: From VLSI Architectures to CMOS Fabrication
2102:
665:
657:
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inputs does not change the state. A customer pushing through the arms gives a
208:
3615:
Hardware engineering: state minimization and synthesis of sequential circuits
203:
An example of a simple mechanism that can be modeled by a state machine is a
151:, which dispense products when the proper combination of coins is deposited;
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by the acceptor. By definition, the languages accepted by acceptors are the
204:
2073:
155:, whose sequence of stops is determined by the floors requested by riders;
3572:
3283:(2nd ed.). San Diego: Academic Press, Harcourt, Brace & Company.
3209:
Discrete
Mathematics: Applied Algebra for Computer and Information Science
4224:
4219:
1630:
823:
697:
152:
391:
is a description of the status of a system that is waiting to execute a
163:, which require the input of a sequence of numbers in the proper order.
48:"Finite automata" redirects here. For the electro-industrial group, see
3180:
Finite-state machines (automata theory) in theoretical computer science
2585:
Quality
Measures in Data Mining - Studies in Computational Intelligence
732:
661:
605:
that includes graphical symbols to describe actions in the transition:
4167:
2617:
1987:. A finite-state machine with no output function at all is known as a
214:
Considered as a state machine, the turnstile has two possible states:
2876:
Revuz, D. (1992). "Minimization of
Acyclic automata in Linear Time".
2830:(Technical Report). Vol. DCC-2007-03. Porto Univ. Archived from
3264:. Redwood City, California: Benjamin/Cummings Publish Company, Inc.
1312:{\displaystyle \delta :S\times \Sigma \rightarrow {\mathcal {P}}(S)}
195:
1015:(which usually have more than one current state), flow graphs, and
4083:
3544:"Sequential Abstract State Machines Capture Sequential Algorithms"
3151:
Theory of Finite
Automata with an Introduction to Formal Languages
2255:
2110:
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1047:
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891:
731:
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673:
437:
429:
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186:
3262:
Theory of Computation: Formal Languages, Automata, and Complexity
3094:
3054:
Recommendation Z.100 Specification and Description Language (SDL)
2583:
Felkin, M. (2007). Guillet, Fabrice; Hamilton, Howard J. (eds.).
2443:. David R. Wright website, N. Carolina State Univ. Archived from
30:"State machine" redirects here. For infinite-state machines, see
3460:(1st ed.). Cambridge, England: Cambridge University Press.
3245:(3rd ed.). Cambridge, England: Cambridge University Press.
2587:. Vol. 43. Springer, Berlin, Heidelberg. pp. 277β278.
2230:
852:
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to graphs with edges weighted by the elements of an (arbitrary)
4171:
3797:
3387:(2nd ed.). Upper Saddle River, New Jersey: Prentice-Hall.
3319:
Hopcroft, John E.; Motwani, Rajeev; Ullman, Jeffrey D. (2001).
2139:
state machines may be optimized to minimize power consumption.
1023:
original state machines, support hierarchically nested states,
581:
that depend on both the state of the system and the triggering
1901:
If the output function depends on the state and input symbol (
602:
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as a process that moves successively through a set of states
3520:(1st ed.). New York: Harper & Row, Publishers, Inc.
1615:
A finite-state machine has the same computational power as a
298:
Unlocks the turnstile so that the customer can push through.
4152:
Each category of languages, except those marked by a , is a
3190:(1st ed.). Englewood Cliffs, N.J.: Prentice-Hall, Inc.
2527:
Generic Inference: A Unifying Theory for Automated Reasoning
1998:
If we disregard the first output symbol of a Moore machine,
1295:
59:
41:"SFSM" redirects here. For the Italian railway company, see
3477:
JFLAP: An Interactive Formal Languages and Automata Package
3321:
Introduction to Automata Theory, Languages, and Computation
3301:
Introduction to Automata Theory, Languages, and Computation
3213:(1st ed.). Philadelphia: W. B. Saunders Company, Inc.
3122:
Synthesis of Finite State Machines: Functional Optimization
2905:"Mealy, Moore, Medvedev-type and combinatorial output bits"
2501:
Introduction to Automata Theory, Languages, and Computation
2352:"Finite State Machines β Brilliant Math & Science Wiki"
1744:
is the output alphabet (a finite non-empty set of symbols);
676:. Finite-state machines are a class of automata studied in
379:
node from the black dot indicates it is the initial state.
334:
When the customer has pushed through, locks the turnstile.
3769:
Modeling a Simple AI behavior using a Finite State Machine
2812:(Technical Report). Vol. CS-TR-71-190. Stanford Univ.
2375:
Belzer, Jack; Holzman, Albert George; Kent, Allen (1975).
2113:. More specifically, a hardware implementation requires a
1932:{\displaystyle \omega :S\times \Sigma \rightarrow \Gamma }
1688:{\displaystyle (\Sigma ,\Gamma ,S,s_{0},\delta ,\omega )}
1361:
is the set of final states, a (possibly empty) subset of
344:
The turnstile state machine can also be represented by a
3498:(2nd ed.). Boston Mass: Thomson Course Technology.
788:
A (possibly infinite) set of symbol sequences, called a
78:(Clicking on each layer gets an article on that subject)
3599:(1st ed.). New York: WCB/McGraw-Hill Corporation.
3536:
Abstract state machines in theoretical computer science
2943:
Synchronous Finite State Machines; Design and Behaviour
3279:
Davis, Martin; Sigal, Ron; Weyuker, Elaine J. (1994).
3136:
Synthesis of Finite State Machines: Logic Optimization
2825:
On the performance of automata minimization algorithms
2823:
Almeida, Marco; Moreira, Nelma; Reis, Rogerio (2007).
918:
In control applications, two types are distinguished:
829:
An example of an accepting state appears in Fig. 5: a
569:. UML state machines have the characteristics of both
2807:
algorithm for minimizing states in a finite automaton
2473:"Classifiers, Acceptors, Transducers, and Sequencers"
2004:
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does not have to be defined for every combination of
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3636:(1st ed.). New York: John Wiley and Sons, Inc.
1947:. If the output function depends only on the state (
1868:{\displaystyle \delta :S\times \Sigma \rightarrow S}
1257:{\displaystyle \delta :S\times \Sigma \rightarrow S}
261:
The turnstile state machine can be represented by a
4591:
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3166:
Introduction to the Theory of Finite-state Machines
131:; the change from one state to another is called a
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3782:NIST Dictionary of Algorithms and Data Structures
3479:(1st ed.). Sudbury, MA: Jones and Bartlett.
3406:(4th ed.). Sudbury, MA: Jones and Bartlett.
121:that can be in exactly one of a finite number of
3729:Finite Markov-chain processes are also known as
3662:Introduction to the Theory of Switching Circuits
3653:Introduction to the Theory of Switching Circuits
2776:. Cambridge University Press. pp. 105β108.
2770:Anderson, James Andrew; Head, Thomas J. (2006).
728:Fig. 4: Acceptor FSM: parsing the string "nice".
3660:Hill, Fredrick J.; Peterson, Gerald R. (1965).
3079:Practical UML Statecharts in C/C++, 2nd Edition
3014:. Translated from the French by Reuben Thomas.
2498:John E. Hopcroft and Jeffrey D. Ullman (1979).
2481:Computer Science: Abstraction to Implementation
2378:Encyclopedia of Computer Science and Technology
870:are a generalization of acceptors that produce
442:Fig. 3 Example of a simple finite-state machine
426:Fig. 1 UML state chart example (a toaster oven)
159:, which change sequence when cars are waiting;
63:
3589:Machine learning using finite-state algorithms
3323:(2nd ed.). Reading Mass: Addison-Wesley.
3304:(1st ed.). Reading Mass: Addison-Wesley.
3205:Bobrow, Leonard S.; Arbib, Michael A. (1974).
3173:An Introduction to Mathematical Machine Theory
2745:National Institute of Standards and Technology
553:has a notation for describing state machines.
4183:
3809:
2190:parts of the programming language's grammar.
8:
2973:Compilers: Principles, Techniques, and Tools
2741:Dictionary of Algorithms and Data Structures
2466:
2464:
2381:. Vol. 25. USA: CRC Press. p. 73.
1972:{\displaystyle \omega :S\rightarrow \Gamma }
859:), 1, 11, 11..., 00, 010, 1010, 10110, etc.
837:input string contains an even number of 0s.
463:full action's information is possible using
4131:Counter-free (with aperiodic finite monoid)
3361:(1st ed.). New York: Springer-Verlag.
3138:. Kluwer Academic Publishers, Boston 1997,
3124:. Kluwer Academic Publishers, Boston 1997,
2911:. Cambridge University Press. p. 787.
1099:{\displaystyle (\Sigma ,S,s_{0},\delta ,F)}
4190:
4176:
4168:
3841:
3816:
3802:
3794:
3429:(1st ed.). New Jersey: Prentice-Hall.
3237:Boolos, George; Jeffrey, Richard (1999) .
904:Fig. 7 Transducer FSM: Mealy model example
896:Fig. 6 Transducer FSM: Moore model example
3562:
3496:Introduction to the Theory of Computation
3425:Computation: Finite and Infinite Machines
2664:
2015:
2003:
1952:
1906:
1882:
1842:
1822:
1800:
1779:
1773:
1751:
1729:
1703:
1664:
1637:
1596:
1561:
1541:
1521:
1501:
1475:
1449:
1414:
1390:
1366:
1346:
1324:
1294:
1293:
1273:
1231:
1211:
1189:
1168:
1162:
1140:
1114:
1075:
1054:
1027:, state actions, and transition actions.
939:execution model and will work, e.g., for
3298:Hopcroft, John; Ullman, Jeffrey (1979).
3154:. Prentice Hall, Englewood Cliffs, 1989.
2773:Automata theory with modern applications
473:
271:
194:
4362:Application-specific integrated circuit
3788:A brief overview of state machine types
3740:Sequential Machines and Automata Theory
3623:Sequential Machines and Automata Theory
3551:ACM Transactions on Computational Logic
3230:Sequential Machines and Automata Theory
2400:
2398:
2318:
796:if there is some acceptor that accepts
141:non-deterministic finite-state machines
34:. For fault-tolerance methodology, see
4023:Linear context-free rewriting language
3709:it moves on to the next stop to state
3475:Rodger, Susan; Finley, Thomas (2006).
2947:University of Applied Sciences Hamburg
2864:. Princeton University Press: 129β153.
2657:A Denotational Semantics for Stateflow
2408:Discrete Mathematics With Applications
2177:Finite automata are often used in the
621:start another concurrent state machine
599:Specification and Description Language
3948:Linear context-free rewriting systems
3633:Digital Networks and Computer Systems
3385:Elements of the Theory of Computation
3338:Hopkin, David; Moss, Barbara (1976).
2117:to store state variables, a block of
1979:) that definition corresponds to the
1939:) that definition corresponds to the
7:
4297:Three-dimensional integrated circuit
3784:description of Finite-State Machines
3778:description of Finite-State Machines
3776:Free On-Line Dictionary of Computing
3342:. New York: Elsevier North-Holland.
3159:Switching and Finite Automata Theory
2052:. Other techniques include using an
1795:is the initial state, an element of
1766:is a finite non-empty set of states;
1722:(a finite non-empty set of symbols);
1155:is a finite non-empty set of states;
1133:(a finite non-empty set of symbols);
2487:. Harvey Mudd College. p. 480.
2173:Finite-state machines and compilers
1184:is an initial state, an element of
1044:deterministic finite-state acceptor
585:, as in Mealy machines, as well as
137:deterministic finite-state machines
4309:Erasable programmable logic device
4156:of the category directly above it.
2525:Pouly, Marc; Kohlas, JΓΌrg (2011).
2328:Formal Methods in Computer Science
2211:Communicating finite-state machine
1966:
1926:
1920:
1856:
1837:is the state-transition function:
1731:
1705:
1648:
1642:
1483:
1287:
1245:
1226:is the state-transition function:
1116:
1059:
1040:deterministic finite-state machine
25:
4344:Complex programmable logic device
3757:Chapter 6 "Finite Markov Chains".
2157:Event-driven finite-state machine
1266:nondeterministic finite automaton
971:A further distinction is between
355:. Each state is represented by a
27:Mathematical model of computation
3441:(1st ed.). Addison Wesley.
2085:counter, a type of state machine
818:βitself a generalization of the
565:, while extending the notion of
434:Fig. 2 SDL state machine example
183:Example: coin-operated turnstile
4356:Field-programmable object array
4292:Mixed-signal integrated circuit
3772:Example of usage in Video Games
2411:. Academic Press. p. 762.
2050:Hopcroft minimization algorithm
833:(DFA) that detects whether the
3751:Finite Mathematical Structures
3062:Practical Statecharts in C/C++
2504:. Reading/MA: Addison-Wesley.
2093:, an FSM may be built using a
2027:{\displaystyle \omega (s_{0})}
2021:
2008:
1963:
1923:
1859:
1682:
1639:
1578:
1566:
1431:
1419:
1339:would return a set of states);
1306:
1300:
1290:
1248:
1093:
1056:
878:is strictly greater than two.
831:deterministic finite automaton
254:input and resets the state to
238:input β shifts the state from
1:
4482:Hardware description language
4350:Field-programmable gate array
3670:Finite Markov chain processes
3404:Formal Languages and Automata
3260:Brookshear, J. Glenn (1989).
3188:Theories of Abstract Automata
3010:Sakarovitch, Jacques (2009).
2858:Annals of Mathematics Studies
2735:Black, Paul E (12 May 2008).
2099:programmable logic controller
191:State diagram for a turnstile
3542:Gurevich, Yuri (July 2000).
3456:Pippenger, Nicholas (1997).
2890:10.1016/0304-3975(92)90142-3
2878:Theoretical Computer Science
2593:10.1007/978-3-540-44918-8_12
2206:Alternating finite automaton
2162:Virtual finite-state machine
2137:state encoding for low power
1584:{\displaystyle \delta (s,x)}
1489:{\displaystyle x\in \Sigma }
1437:{\displaystyle \delta (s,x)}
559:hierarchically nested states
469:virtual finite-state machine
4494:Formal equivalence checking
3012:Elements of automata theory
1983:, and can be modelled as a
1943:, and can be modelled as a
1013:hierarchical state machines
402:an entry action: performed
4646:
4514:Hierarchical state machine
4472:Transaction-level modeling
4038:Deterministic context-free
3963:Deterministic context-free
3381:Papadimitriou, Christos H.
3359:Automata and Computability
3186:Arbib, Michael A. (1969).
3016:Cambridge University Press
2797:Hopcroft, John E. (1971).
2471:Keller, Robert M. (2001).
2152:Automata-based programming
2041:
885:
445:
409:an exit action: performed
47:
40:
29:
4415:Digital signal processing
4400:Logic in computer science
4326:Programmable logic device
4286:Hybrid integrated circuit
4149:
4111:Nondeterministic pushdown
3839:
3738:Booth, Taylor L. (1967).
3651:McCluskey, E. J. (1965).
3630:Booth, Taylor L. (1971).
3621:Booth, Taylor L. (1967).
3595:Mitchell, Tom M. (1997).
3458:Theories of Computability
3357:Kozen, Dexter C. (1997).
3228:Booth, Taylor L. (1967).
3096:Advanced State Management
2552:"Algebraic path problems"
2550:Jacek Jonczy (Jun 2008).
2432:Wright, David R. (2005).
2330:. CRC Press. p. 34.
2095:programmable logic device
913:computational linguistics
706:computational linguistics
551:Unified Modeling Language
446:For an introduction, see
313:
288:
36:State machine replication
4427:Switching circuit theory
4332:Programmable Array Logic
4320:Programmable logic array
3731:subshifts of finite type
3494:Sipser, Michael (2006).
3439:Computational Complexity
2903:Kaeslin, Hubert (2008).
2286:Transformation semigroup
2251:Quantum finite automaton
690:hardware digital systems
383:Concepts and terminology
4477:Register-transfer level
3435:Papadimitriou, Christos
3421:Minsky, Marvin (1967).
3241:Computability and Logic
3175:. Addison-Wesley, 1962.
3148:Carroll, J., Long, D.,
2937:18 January 2017 at the
2866:Here: Theorem 4, p.142.
2434:"Finite State Machines"
2201:Abstract state machines
1897:is the output function.
1890:{\displaystyle \omega }
1830:{\displaystyle \delta }
1737:{\displaystyle \Gamma }
1711:{\displaystyle \Sigma }
1626:finite-state transducer
1398:{\displaystyle \delta }
1332:{\displaystyle \delta }
1219:{\displaystyle \delta }
1122:{\displaystyle \Sigma }
888:Finite-state transducer
475:State-transition table
226:) and pushing the arm (
4630:Management cybernetics
4368:Tensor Processing Unit
4116:Deterministic pushdown
3992:Recursively enumerable
3702:. β¦ if it is in state
2737:"Finite State Machine"
2405:Koshy, Thomas (2004).
2086:
2028:
1973:
1933:
1891:
1869:
1831:
1809:
1789:
1760:
1738:
1712:
1689:
1605:
1585:
1550:
1530:
1510:
1490:
1464:
1463:{\displaystyle s\in S}
1438:
1399:
1375:
1355:
1333:
1313:
1258:
1220:
1198:
1178:
1149:
1123:
1100:
905:
897:
816:algebraic path problem
759:
729:
670:video game programming
646:electrical engineering
587:entry and exit actions
460:state-transition table
443:
435:
427:
263:state-transition table
200:
192:
95:finite-state automaton
71:
50:Finite Automata (band)
4583:Electronic literature
4537:Hardware acceleration
4405:Computer architecture
4303:Emitter-coupled logic
4240:Printed circuit board
3573:10.1145/343369.343384
3518:Theory of Computation
2326:Wang, Jiacun (2019).
2143:Software applications
2076:
2069:Hardware applications
2029:
1974:
1934:
1892:
1870:
1832:
1810:
1790:
1788:{\displaystyle s_{0}}
1761:
1739:
1713:
1690:
1606:
1591:is not defined, then
1586:
1551:
1536:, the next symbol is
1531:
1511:
1491:
1465:
1439:
1400:
1376:
1356:
1334:
1314:
1259:
1221:
1199:
1179:
1177:{\displaystyle s_{0}}
1150:
1124:
1101:
1007:Alternative semantics
993:powerset construction
903:
895:
820:shortest path problem
735:
727:
682:theory of computation
441:
433:
425:
198:
190:
70:
4509:Finite-state machine
4487:High-level synthesis
4422:Circuit minimization
4101:Tree stack automaton
3402:Linz, Peter (2006).
3168:. McGraw-Hill, 1962.
3161:. McGraw-Hill, 1978.
2167:State design pattern
2002:
1951:
1905:
1881:
1841:
1821:
1799:
1772:
1750:
1728:
1702:
1636:
1595:
1560:
1540:
1520:
1500:
1474:
1448:
1413:
1389:
1365:
1345:
1323:
1272:
1230:
1210:
1188:
1161:
1139:
1113:
1053:
694:software engineering
632:Other state diagrams
115:model of computation
113:, is a mathematical
87:finite-state machine
75:Classes of automata
18:Finite state machine
4556:Digital photography
4338:Generic Array Logic
4260:Combinational logic
4235:Printed electronics
4199:Digital electronics
4009:range concatenation
3934:range concatenation
3677:"We may think of a
3065:, CMP Books, 2002,
2236:Hidden Markov model
2123:Richards controller
2119:combinational logic
783:sequence of symbols
756:non accepting state
601:is a standard from
476:
4504:Asynchronous logic
4280:Integrated circuit
4245:Electronic circuit
3102:2008-11-19 at the
2968:Ullman, Jeffrey D.
2837:on 17 January 2009
2751:on 13 October 2018
2655:Hamon, G. (2005).
2441:CSC215 Class Notes
2281:Synchronizing word
2246:Pushdown automaton
2087:
2024:
1969:
1929:
1887:
1865:
1827:
1805:
1785:
1756:
1734:
1708:
1685:
1601:
1581:
1546:
1526:
1506:
1486:
1460:
1434:
1395:
1371:
1351:
1329:
1309:
1254:
1216:
1194:
1174:
1145:
1119:
1096:
1031:Mathematical model
1025:orthogonal regions
906:
898:
874:-ary output where
760:
730:
593:SDL state machines
563:orthogonal regions
555:UML state machines
545:UML state machines
474:
444:
436:
428:
201:
193:
72:
4612:
4611:
4561:Digital telephone
4532:Computer hardware
4499:Synchronous logic
4165:
4164:
4144:
4143:
4106:Embedded pushdown
4002:Context-sensitive
3927:Context-sensitive
3861:Abstract machines
3846:Chomsky hierarchy
3716:with probability
3643:978-0-471-08840-0
3606:978-0-07-042807-2
3527:978-0-06-047208-5
3505:978-0-534-95097-2
3486:978-0-7637-3834-1
3467:978-0-521-55380-3
3448:978-0-201-53082-7
3413:978-0-7637-3798-6
3394:978-0-13-262478-7
3368:978-0-387-94907-9
3349:978-0-444-00249-5
3330:978-0-201-44124-6
3311:978-0-201-02988-8
3290:978-0-12-206382-4
3271:978-0-8053-0143-4
3252:978-0-521-20402-6
3220:978-0-7216-1768-8
3197:978-0-13-913368-8
3025:978-0-521-84425-3
2987:978-0-201-10088-4
2918:978-0-521-88267-5
2783:978-0-521-84887-9
2602:978-3-540-44911-9
2536:978-1-118-01086-0
2511:978-0-201-02988-8
2418:978-0-12-421180-3
2388:978-0-8247-2275-3
2337:978-1-4987-7532-8
2306:UML state machine
2291:Transition system
2054:implication table
1993:transition system
1808:{\displaystyle S}
1759:{\displaystyle S}
1604:{\displaystyle M}
1549:{\displaystyle x}
1529:{\displaystyle s}
1509:{\displaystyle M}
1374:{\displaystyle S}
1354:{\displaystyle F}
1197:{\displaystyle S}
1148:{\displaystyle S}
981:non-deterministic
809:regular languages
702:network protocols
542:
541:
454:State/Event table
338:
337:
161:combination locks
32:Transition system
16:(Redirected from
4637:
4265:Sequential logic
4192:
4185:
4178:
4169:
4160:
4157:
4121:Visibly pushdown
4095:Thread automaton
4043:Visibly pushdown
4011:
3968:Visibly pushdown
3936:
3923:(no common name)
3842:
3829:formal languages
3818:
3811:
3804:
3795:
3756:
3754:
3743:
3665:
3656:
3647:
3626:
3610:
3597:Machine Learning
3584:
3566:
3548:
3531:
3509:
3490:
3471:
3452:
3430:
3428:
3417:
3398:
3372:
3353:
3334:
3315:
3294:
3275:
3256:
3244:
3233:
3224:
3212:
3201:
3082:, Newnes, 2008,
3037:
2992:
2991:
2976:(1st ed.).
2956:
2950:
2929:
2923:
2922:
2900:
2894:
2893:
2873:
2867:
2865:
2853:
2847:
2846:
2844:
2842:
2836:
2829:
2820:
2814:
2813:
2811:
2794:
2788:
2787:
2767:
2761:
2760:
2758:
2756:
2747:. Archived from
2732:
2726:
2725:
2723:
2717:. Archived from
2716:
2708:
2702:
2701:
2699:
2698:
2692:
2686:. Archived from
2685:
2677:
2671:
2670:
2668:
2652:
2646:
2645:
2643:
2642:
2633:
2625:
2619:
2613:
2607:
2606:
2580:
2574:
2572:
2570:
2569:
2563:
2557:. Archived from
2556:
2547:
2541:
2540:
2522:
2516:
2515:
2495:
2489:
2488:
2486:
2477:
2468:
2459:
2458:
2456:
2455:
2449:
2438:
2429:
2423:
2422:
2402:
2393:
2392:
2372:
2366:
2365:
2363:
2362:
2348:
2342:
2341:
2323:
2271:Sequential logic
2266:Semigroup action
2183:lexical analyzer
2130:Medvedev machine
2044:DFA minimization
2033:
2031:
2030:
2025:
2020:
2019:
1978:
1976:
1975:
1970:
1938:
1936:
1935:
1930:
1896:
1894:
1893:
1888:
1874:
1872:
1871:
1866:
1836:
1834:
1833:
1828:
1814:
1812:
1811:
1806:
1794:
1792:
1791:
1786:
1784:
1783:
1765:
1763:
1762:
1757:
1743:
1741:
1740:
1735:
1717:
1715:
1714:
1709:
1694:
1692:
1691:
1686:
1669:
1668:
1610:
1608:
1607:
1602:
1590:
1588:
1587:
1582:
1555:
1553:
1552:
1547:
1535:
1533:
1532:
1527:
1515:
1513:
1512:
1507:
1495:
1493:
1492:
1487:
1469:
1467:
1466:
1461:
1443:
1441:
1440:
1435:
1407:partial function
1404:
1402:
1401:
1396:
1380:
1378:
1377:
1372:
1360:
1358:
1357:
1352:
1338:
1336:
1335:
1330:
1318:
1316:
1315:
1310:
1299:
1298:
1263:
1261:
1260:
1255:
1225:
1223:
1222:
1217:
1203:
1201:
1200:
1195:
1183:
1181:
1180:
1175:
1173:
1172:
1154:
1152:
1151:
1146:
1128:
1126:
1125:
1120:
1105:
1103:
1102:
1097:
1080:
1079:
945:event-driven FSM
794:regular language
654:computer science
612:receive an event
477:
272:
149:vending machines
119:abstract machine
107:finite automaton
79:
62:
21:
4645:
4644:
4640:
4639:
4638:
4636:
4635:
4634:
4625:Finite automata
4615:
4614:
4613:
4608:
4587:
4520:
4455:Place and route
4450:Logic synthesis
4436:
4432:Gate equivalent
4395:Logic synthesis
4390:Boolean algebra
4373:
4315:Macrocell array
4275:Boolean circuit
4201:
4196:
4166:
4161:
4158:
4151:
4145:
4140:
4062:
4006:
3985:
3931:
3912:
3835:
3833:formal grammars
3825:Automata theory
3822:
3764:
3746:
3737:
3721:
3714:
3707:
3700:
3693:
3686:
3672:
3659:
3650:
3644:
3629:
3620:
3617:
3607:
3594:
3591:
3564:10.1.1.146.3017
3546:
3541:
3538:
3528:
3512:
3506:
3493:
3487:
3474:
3468:
3455:
3449:
3433:
3420:
3414:
3401:
3395:
3377:Lewis, Harry R.
3375:
3369:
3356:
3350:
3337:
3331:
3318:
3312:
3297:
3291:
3278:
3272:
3259:
3253:
3236:
3227:
3221:
3204:
3198:
3185:
3182:
3134:Tiziano Villa,
3104:Wayback Machine
3026:
3009:
3006:
3001:
2999:Further reading
2996:
2995:
2988:
2958:
2957:
2953:
2939:Wayback Machine
2930:
2926:
2919:
2902:
2901:
2897:
2875:
2874:
2870:
2855:
2854:
2850:
2840:
2838:
2834:
2827:
2822:
2821:
2817:
2809:
2796:
2795:
2791:
2784:
2769:
2768:
2764:
2754:
2752:
2734:
2733:
2729:
2721:
2714:
2710:
2709:
2705:
2696:
2694:
2690:
2683:
2679:
2678:
2674:
2654:
2653:
2649:
2640:
2638:
2631:
2627:
2626:
2622:
2614:
2610:
2603:
2582:
2581:
2577:
2567:
2565:
2561:
2554:
2549:
2548:
2544:
2537:
2524:
2523:
2519:
2512:
2497:
2496:
2492:
2484:
2475:
2470:
2469:
2462:
2453:
2451:
2447:
2436:
2431:
2430:
2426:
2419:
2404:
2403:
2396:
2389:
2374:
2373:
2369:
2360:
2358:
2350:
2349:
2345:
2338:
2325:
2324:
2320:
2315:
2310:
2226:Decision tables
2196:
2175:
2145:
2091:digital circuit
2079:circuit diagram
2071:
2066:
2046:
2040:
2011:
2000:
1999:
1949:
1948:
1903:
1902:
1879:
1878:
1839:
1838:
1819:
1818:
1797:
1796:
1775:
1770:
1769:
1748:
1747:
1726:
1725:
1700:
1699:
1660:
1634:
1633:
1593:
1592:
1558:
1557:
1538:
1537:
1518:
1517:
1498:
1497:
1472:
1471:
1446:
1445:
1411:
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1387:
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1207:
1186:
1185:
1164:
1159:
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1137:
1136:
1111:
1110:
1071:
1051:
1050:
1033:
1009:
969:
954:
890:
884:
865:
849:
845:
790:formal language
753:
745:accepting state
742:
722:
714:
678:automata theory
642:
634:
595:
577:. They support
547:
487:
484:
482:
456:
451:
420:
418:Representations
385:
185:
177:automata theory
83:
82:
81:
80:
77:
73:
69:
60:
53:
46:
43:Circumvesuviana
39:
28:
23:
22:
15:
12:
11:
5:
4643:
4641:
4633:
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4627:
4617:
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4606:
4601:
4595:
4593:
4589:
4588:
4586:
4585:
4580:
4579:
4578:
4573:
4571:cinematography
4563:
4558:
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4551:
4541:
4540:
4539:
4528:
4526:
4522:
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4506:
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4469:
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4467:
4462:
4452:
4446:
4444:
4438:
4437:
4435:
4434:
4429:
4424:
4419:
4418:
4417:
4410:Digital signal
4407:
4402:
4397:
4392:
4387:
4385:Digital signal
4381:
4379:
4375:
4374:
4372:
4371:
4365:
4359:
4353:
4347:
4341:
4335:
4329:
4323:
4317:
4312:
4306:
4300:
4294:
4289:
4283:
4277:
4272:
4267:
4262:
4257:
4252:
4247:
4242:
4237:
4232:
4227:
4222:
4217:
4211:
4209:
4203:
4202:
4197:
4195:
4194:
4187:
4180:
4172:
4163:
4162:
4150:
4147:
4146:
4142:
4141:
4139:
4138:
4136:Acyclic finite
4133:
4128:
4123:
4118:
4113:
4108:
4103:
4097:
4092:
4087:
4086:Turing Machine
4081:
4079:Linear-bounded
4076:
4071:
4069:Turing machine
4065:
4063:
4061:
4060:
4055:
4050:
4045:
4040:
4035:
4030:
4028:Tree-adjoining
4025:
4020:
4017:
4012:
4004:
3999:
3994:
3988:
3986:
3984:
3983:
3978:
3975:
3970:
3965:
3960:
3955:
3953:Tree-adjoining
3950:
3945:
3942:
3937:
3929:
3924:
3921:
3915:
3913:
3911:
3910:
3907:
3904:
3901:
3898:
3895:
3892:
3889:
3886:
3883:
3880:
3877:
3874:
3871:
3867:
3864:
3863:
3858:
3853:
3848:
3840:
3837:
3836:
3823:
3821:
3820:
3813:
3806:
3798:
3792:
3791:
3785:
3779:
3773:
3763:
3762:External links
3760:
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3744:
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3726:
3725:
3724:
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3712:
3705:
3698:
3691:
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3590:
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3472:
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3399:
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3354:
3348:
3335:
3329:
3316:
3310:
3295:
3289:
3276:
3270:
3257:
3251:
3234:
3225:
3219:
3202:
3196:
3181:
3178:
3177:
3176:
3171:Ginsburg, S.,
3169:
3162:
3155:
3146:
3132:
3118:
3107:
3091:
3074:
3057:
3049:
3038:
3024:
3005:
3002:
3000:
2997:
2994:
2993:
2986:
2978:Addison-Wesley
2960:Aho, Alfred V.
2951:
2924:
2917:
2895:
2868:
2848:
2815:
2789:
2782:
2762:
2727:
2724:on 2011-07-15.
2703:
2672:
2666:10.1.1.89.8817
2647:
2620:
2608:
2601:
2575:
2542:
2535:
2517:
2510:
2490:
2460:
2424:
2417:
2394:
2387:
2367:
2343:
2336:
2317:
2316:
2314:
2311:
2309:
2308:
2303:
2301:Turing machine
2298:
2296:Tree automaton
2293:
2288:
2283:
2278:
2273:
2268:
2263:
2258:
2253:
2248:
2243:
2238:
2233:
2228:
2223:
2218:
2216:Control system
2213:
2208:
2203:
2197:
2195:
2192:
2174:
2171:
2170:
2169:
2164:
2159:
2154:
2144:
2141:
2070:
2067:
2065:
2064:Implementation
2062:
2042:Main article:
2039:
2036:
2023:
2018:
2014:
2010:
2007:
1968:
1965:
1962:
1959:
1956:
1928:
1925:
1922:
1919:
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1675:
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1663:
1659:
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1647:
1644:
1641:
1617:Turing machine
1600:
1580:
1577:
1574:
1571:
1568:
1565:
1545:
1525:
1516:is in a state
1505:
1485:
1482:
1479:
1459:
1456:
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1433:
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1427:
1424:
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1370:
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1277:
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1247:
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1241:
1238:
1235:
1215:
1205:
1193:
1171:
1167:
1156:
1144:
1134:
1118:
1095:
1092:
1089:
1086:
1083:
1078:
1074:
1070:
1067:
1064:
1061:
1058:
1032:
1029:
1008:
1005:
968:
965:
953:
950:
949:
948:
936:
930:
929:
925:
886:Main article:
883:
880:
864:
861:
847:
843:
751:
740:
721:
718:
713:
712:Classification
710:
686:control theory
641:
638:
633:
630:
626:
625:
622:
619:
618:cancel a timer
616:
613:
610:
594:
591:
575:Moore machines
571:Mealy machines
546:
543:
540:
539:
536:
533:
530:
526:
525:
522:
519:
516:
512:
511:
508:
505:
502:
498:
497:
494:
491:
488:
485:
481: Current
480:
455:
452:
419:
416:
415:
414:
407:
406:the state, and
384:
381:
346:directed graph
342:
341:
340:
339:
336:
335:
332:
329:
325:
324:
321:
318:
315:
311:
310:
307:
304:
300:
299:
296:
293:
290:
286:
285:
282:
279:
276:
275:Current State
184:
181:
168:Turing machine
157:traffic lights
109:, or simply a
76:
74:
58:
57:
56:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
4642:
4631:
4628:
4626:
4623:
4622:
4620:
4605:
4602:
4600:
4599:Metastability
4597:
4596:
4594:
4592:Design issues
4590:
4584:
4581:
4577:
4574:
4572:
4569:
4568:
4567:
4566:Digital video
4564:
4562:
4559:
4557:
4554:
4550:
4547:
4546:
4545:
4544:Digital audio
4542:
4538:
4535:
4534:
4533:
4530:
4529:
4527:
4523:
4515:
4512:
4511:
4510:
4507:
4505:
4502:
4500:
4497:
4495:
4492:
4488:
4485:
4483:
4480:
4479:
4478:
4475:
4473:
4470:
4466:
4463:
4461:
4458:
4457:
4456:
4453:
4451:
4448:
4447:
4445:
4443:
4439:
4433:
4430:
4428:
4425:
4423:
4420:
4416:
4413:
4412:
4411:
4408:
4406:
4403:
4401:
4398:
4396:
4393:
4391:
4388:
4386:
4383:
4382:
4380:
4376:
4369:
4366:
4363:
4360:
4357:
4354:
4351:
4348:
4345:
4342:
4339:
4336:
4333:
4330:
4327:
4324:
4321:
4318:
4316:
4313:
4310:
4307:
4304:
4301:
4298:
4295:
4293:
4290:
4287:
4284:
4281:
4278:
4276:
4273:
4271:
4268:
4266:
4263:
4261:
4258:
4256:
4253:
4251:
4248:
4246:
4243:
4241:
4238:
4236:
4233:
4231:
4228:
4226:
4223:
4221:
4218:
4216:
4213:
4212:
4210:
4208:
4204:
4200:
4193:
4188:
4186:
4181:
4179:
4174:
4173:
4170:
4155:
4154:proper subset
4148:
4137:
4134:
4132:
4129:
4127:
4124:
4122:
4119:
4117:
4114:
4112:
4109:
4107:
4104:
4102:
4098:
4096:
4093:
4091:
4088:
4085:
4082:
4080:
4077:
4075:
4072:
4070:
4067:
4066:
4064:
4059:
4056:
4054:
4051:
4049:
4046:
4044:
4041:
4039:
4036:
4034:
4031:
4029:
4026:
4024:
4021:
4018:
4016:
4013:
4010:
4005:
4003:
4000:
3998:
3995:
3993:
3990:
3989:
3987:
3982:
3981:Non-recursive
3979:
3976:
3974:
3971:
3969:
3966:
3964:
3961:
3959:
3956:
3954:
3951:
3949:
3946:
3943:
3941:
3938:
3935:
3930:
3928:
3925:
3922:
3920:
3917:
3916:
3914:
3908:
3905:
3902:
3899:
3896:
3893:
3890:
3887:
3884:
3881:
3878:
3875:
3872:
3869:
3868:
3866:
3865:
3862:
3859:
3857:
3854:
3852:
3849:
3847:
3844:
3843:
3838:
3834:
3830:
3826:
3819:
3814:
3812:
3807:
3805:
3800:
3799:
3796:
3789:
3786:
3783:
3780:
3777:
3774:
3771:
3770:
3766:
3765:
3761:
3753:
3752:
3745:
3741:
3736:
3735:
3734:
3732:
3722:
3715:
3708:
3701:
3694:
3687:
3680:
3676:
3675:
3674:
3673:
3669:
3663:
3658:
3654:
3649:
3645:
3639:
3635:
3634:
3628:
3624:
3619:
3618:
3614:
3608:
3602:
3598:
3593:
3592:
3588:
3582:
3578:
3574:
3570:
3565:
3560:
3557:(1): 77β111.
3556:
3552:
3545:
3540:
3539:
3535:
3529:
3523:
3519:
3515:
3511:
3507:
3501:
3497:
3492:
3488:
3482:
3478:
3473:
3469:
3463:
3459:
3454:
3450:
3444:
3440:
3436:
3432:
3427:
3426:
3419:
3415:
3409:
3405:
3400:
3396:
3390:
3386:
3382:
3378:
3374:
3370:
3364:
3360:
3355:
3351:
3345:
3341:
3336:
3332:
3326:
3322:
3317:
3313:
3307:
3303:
3302:
3296:
3292:
3286:
3282:
3277:
3273:
3267:
3263:
3258:
3254:
3248:
3243:
3242:
3235:
3231:
3226:
3222:
3216:
3211:
3210:
3203:
3199:
3193:
3189:
3184:
3183:
3179:
3174:
3170:
3167:
3163:
3160:
3156:
3153:
3152:
3147:
3145:
3144:0-7923-9892-0
3141:
3137:
3133:
3131:
3130:0-7923-9842-4
3127:
3123:
3120:Timothy Kam,
3119:
3116:
3115:0-7923-8609-4
3112:
3108:
3105:
3101:
3098:
3097:
3093:Gardner, T.,
3092:
3089:
3088:0-7506-8706-1
3085:
3081:
3080:
3075:
3072:
3071:1-57820-110-1
3068:
3064:
3063:
3058:
3056:
3055:
3050:
3047:
3046:0-8493-8086-3
3043:
3039:
3035:
3031:
3027:
3021:
3017:
3013:
3008:
3007:
3003:
2998:
2989:
2983:
2979:
2975:
2974:
2969:
2965:
2961:
2955:
2952:
2948:
2944:
2940:
2936:
2933:
2928:
2925:
2920:
2914:
2910:
2906:
2899:
2896:
2891:
2887:
2883:
2879:
2872:
2869:
2863:
2859:
2852:
2849:
2833:
2826:
2819:
2816:
2808:
2806:
2802:
2793:
2790:
2785:
2779:
2775:
2774:
2766:
2763:
2750:
2746:
2742:
2738:
2731:
2728:
2720:
2713:
2707:
2704:
2693:on 2011-07-15
2689:
2682:
2676:
2673:
2667:
2662:
2658:
2651:
2648:
2637:
2630:
2624:
2621:
2618:
2612:
2609:
2604:
2598:
2594:
2590:
2586:
2579:
2576:
2564:on 2014-08-21
2560:
2553:
2546:
2543:
2538:
2532:
2528:
2521:
2518:
2513:
2507:
2503:
2502:
2494:
2491:
2483:
2482:
2474:
2467:
2465:
2461:
2450:on 2014-03-27
2446:
2442:
2435:
2428:
2425:
2420:
2414:
2410:
2409:
2401:
2399:
2395:
2390:
2384:
2380:
2379:
2371:
2368:
2357:
2356:brilliant.org
2353:
2347:
2344:
2339:
2333:
2329:
2322:
2319:
2312:
2307:
2304:
2302:
2299:
2297:
2294:
2292:
2289:
2287:
2284:
2282:
2279:
2277:
2276:State diagram
2274:
2272:
2269:
2267:
2264:
2262:
2261:Semiautomaton
2259:
2257:
2254:
2252:
2249:
2247:
2244:
2242:
2239:
2237:
2234:
2232:
2229:
2227:
2224:
2222:
2221:Control table
2219:
2217:
2214:
2212:
2209:
2207:
2204:
2202:
2199:
2198:
2193:
2191:
2189:
2184:
2180:
2172:
2168:
2165:
2163:
2160:
2158:
2155:
2153:
2150:
2149:
2148:
2142:
2140:
2138:
2133:
2131:
2126:
2124:
2120:
2116:
2112:
2108:
2104:
2100:
2096:
2092:
2084:
2080:
2075:
2068:
2063:
2061:
2059:
2055:
2051:
2045:
2037:
2035:
2016:
2012:
2005:
1996:
1994:
1990:
1989:semiautomaton
1986:
1985:Moore machine
1982:
1960:
1957:
1954:
1946:
1945:Mealy machine
1942:
1917:
1914:
1911:
1908:
1884:
1877:
1862:
1853:
1850:
1847:
1844:
1824:
1817:
1802:
1780:
1776:
1768:
1753:
1746:
1724:
1721:
1718:is the input
1698:
1697:
1696:
1679:
1676:
1673:
1670:
1665:
1661:
1657:
1654:
1651:
1645:
1632:
1628:
1627:
1621:
1618:
1613:
1598:
1575:
1572:
1569:
1563:
1543:
1523:
1503:
1480:
1477:
1457:
1454:
1451:
1428:
1425:
1422:
1416:
1408:
1392:
1368:
1348:
1341:
1326:
1303:
1284:
1281:
1278:
1275:
1267:
1251:
1242:
1239:
1236:
1233:
1213:
1206:
1191:
1169:
1165:
1157:
1142:
1135:
1132:
1129:is the input
1109:
1108:
1107:
1090:
1087:
1084:
1081:
1076:
1072:
1068:
1065:
1062:
1049:
1045:
1041:
1036:
1030:
1028:
1026:
1022:
1018:
1014:
1006:
1004:
1001:
996:
994:
990:
986:
982:
978:
974:
973:deterministic
966:
964:
962:
959:(also called
958:
951:
946:
942:
937:
935:
934:Mealy machine
932:
931:
926:
924:
923:Moore machine
921:
920:
919:
916:
914:
910:
902:
894:
889:
881:
879:
877:
873:
869:
862:
860:
858:
854:
842:
838:
836:
832:
827:
825:
821:
817:
812:
810:
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776:
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639:
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620:
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615:start a timer
614:
611:
609:send an event
608:
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592:
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584:
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448:State diagram
440:
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424:
417:
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408:
405:
404:when entering
401:
400:
399:
396:
394:
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382:
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371:input in the
370:
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350:state diagram
347:
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111:state machine
108:
104:
100:
96:
92:
88:
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4525:Applications
4508:
4125:
4090:Nested stack
4033:Context-free
3958:Context-free
3919:Unrestricted
3768:
3750:
3739:
3728:
3717:
3710:
3703:
3696:
3689:
3682:
3679:Markov chain
3661:
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2355:
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2176:
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2081:for a 4-bit
2047:
2038:Optimization
1997:
1980:
1940:
1900:
1624:
1622:
1614:
1496:. If an FSM
1384:
1268:it would be
1043:
1039:
1037:
1034:
1017:truth tables
1010:
999:
997:
980:
972:
970:
960:
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955:
943:but not for
917:
908:
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875:
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857:empty string
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762:
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465:state tables
457:
411:when exiting
410:
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397:
392:
388:
386:
376:
372:
368:
364:
360:
352:
343:
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251:
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90:
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4255:Memory cell
4099:restricted
3076:Samek, M.,
3059:Samek, M.,
2964:Sethi, Ravi
2884:: 181β189.
2103:logic gates
2077:Fig. 9 The
2058:linear time
1981:Moore model
1941:Mealy model
967:Determinism
941:virtual FSM
909:Transducers
882:Transducers
868:Classifiers
863:Classifiers
771:recognizers
666:mathematics
650:linguistics
281:Next State
199:A turnstile
117:. It is an
4619:Categories
4604:Runt pulse
4576:television
4270:Logic gate
4215:Transistor
4207:Components
3164:Gill, A.,
3034:1188.68177
2755:2 November
2697:2011-06-07
2641:2018-04-14
2568:2014-08-20
2454:2012-07-14
2361:2018-04-14
2313:References
2107:flip flops
961:generators
957:Sequencers
952:Sequencers
658:philosophy
467:(see also
413:the state.
393:transition
363:). Edges (
133:transition
101:, plural:
4460:Placement
4250:Flip-flop
4230:Capacitor
4053:Star-free
4007:Positive
3997:Decidable
3932:Positive
3856:Languages
3559:CiteSeerX
2661:CiteSeerX
2241:Petri net
2006:ω
1967:Γ
1964:→
1955:ω
1927:Γ
1924:→
1921:Σ
1918:×
1909:ω
1885:ω
1860:→
1857:Σ
1854:×
1845:δ
1825:δ
1732:Γ
1706:Σ
1695:, where:
1680:ω
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1564:δ
1484:Σ
1481:∈
1455:∈
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1393:δ
1327:δ
1291:→
1288:Σ
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1276:δ
1249:→
1246:Σ
1243:×
1234:δ
1214:δ
1117:Σ
1106:, where:
1085:δ
1060:Σ
1048:quintuple
775:accepting
767:detectors
763:Acceptors
720:Acceptors
698:compilers
348:called a
314:Unlocked
205:turnstile
153:elevators
4225:Inductor
4220:Resistor
3851:Grammars
3516:(1987).
3437:(1993).
3383:(1998).
3340:Automata
3100:Archived
2970:(1986).
2935:Archived
2194:See also
2179:frontend
2135:Through
2115:register
1720:alphabet
1631:sextuple
1405:to be a
1131:alphabet
824:semiring
805:accepted
680:and the
624:decision
529:Input Z
515:Input Y
501:Input X
496:State C
458:Several
373:Unlocked
320:Unlocked
295:Unlocked
244:Unlocked
220:Unlocked
103:automata
4465:Routing
4299:(3D IC)
4074:Decider
4048:Regular
4015:Indexed
3973:Regular
3940:Indexed
3581:2031696
3051:ITU-T,
3004:General
2841:25 June
2743:. U.S.
2636:sri.com
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1409:, i.e.
1319:, i.e.
1021:Harel's
798:exactly
792:, is a
662:biology
579:actions
567:actions
521:State C
493:State B
490:State A
353:(above)
289:Locked
284:Output
4442:Design
4378:Theory
4364:(ASIC)
4358:(FPOA)
4352:(FPGA)
4346:(CPLD)
4311:(EPLD)
4126:Finite
4058:Finite
3903:Type-3
3894:Type-2
3876:Type-1
3870:Type-0
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979:) and
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704:, and
672:, and
377:Locked
365:arrows
361:circle
331:Locked
306:Locked
278:Input
256:Locked
240:Locked
216:Locked
172:memory
129:inputs
124:states
4549:radio
4370:(TPU)
4340:(GAL)
4334:(PAL)
4328:(PLD)
4322:(PLA)
4305:(ECL)
4288:(HIC)
4084:PTIME
3695:, β¦,
3577:S2CID
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2256:SCXML
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640:Usage
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486:Input
483:state
389:state
323:None
309:None
209:token
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4282:(IC)
3831:and
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