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TWO WAY-FINITE-AUTOMATON

  • Two-way finite automaton
  • Type of finite automaton in automata theory

    automata theory, a two-way finite automaton is a finite automaton that is allowed to re-read its input. A two-way deterministic finite automaton (2DFA) is an

    Two-way finite automaton

    Two-way_finite_automaton

  • Deterministic finite automaton
  • Finite-state machine

    deterministic finite automaton (DFA)—also known as deterministic finite acceptor (DFA), deterministic finite-state machine (DFSM), or deterministic finite-state

    Deterministic finite automaton

    Deterministic finite automaton

    Deterministic_finite_automaton

  • Nondeterministic finite automaton
  • Type of finite-state machine in automata theory

    In automata theory, a finite-state machine is called a deterministic finite automaton (DFA), if each of its transitions is uniquely determined by its

    Nondeterministic finite automaton

    Nondeterministic_finite_automaton

  • Automaton
  • Self-operating machine

    An automaton (/ɑːˈtɑːmətɑːn/ ; pl.: automata or automatons) is a relatively self-operating machine or control mechanism designed to automatically follow

    Automaton

    Automaton

    Automaton

  • Alternating finite automaton
  • In automata theory, an alternating finite automaton (AFA) is a nondeterministic finite automaton whose transitions are divided into existential and universal

    Alternating finite automaton

    Alternating_finite_automaton

  • Quantum finite automaton
  • Quantum analog of probabilistic automata

    QFA, there are two noteworthy generalizations that should be mentioned and understood. The first is the non-deterministic finite automaton (NFA). In this

    Quantum finite automaton

    Quantum_finite_automaton

  • Pushdown automaton
  • Type of automaton

    nested stack automaton allows full access, and also allows stacked values to be entire sub-stacks rather than just single finite symbols. A finite-state machine

    Pushdown automaton

    Pushdown automaton

    Pushdown_automaton

  • Probabilistic automaton
  • computer science, the probabilistic automaton (PA) is a generalization of the nondeterministic finite automaton; it includes the probability of a given

    Probabilistic automaton

    Probabilistic_automaton

  • Tree automaton
  • State machine for tree structures

    automata, finite tree automata (FTA) can be either a deterministic automaton or not. According to how the automaton processes the input tree, finite tree automata

    Tree automaton

    Tree_automaton

  • Cellular automaton
  • Discrete model of computation

    and microstructure modeling. A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in

    Cellular automaton

    Cellular automaton

    Cellular_automaton

  • Nested stack automaton
  • nested stack automaton is a finite automaton that can make use of a stack containing data that can be additional stacks. Like a stack automaton, a nested

    Nested stack automaton

    Nested stack automaton

    Nested_stack_automaton

  • Regular language
  • Formal language that can be expressed using a regular expression

    the language accepted by an alternating finite automaton it is the language accepted by a two-way finite automaton it can be generated by a prefix grammar

    Regular language

    Regular_language

  • Tagged Deterministic Finite Automaton
  • automata theory, a tagged deterministic finite automaton (TDFA) is an extension of deterministic finite automaton (DFA). In addition to solving the recognition

    Tagged Deterministic Finite Automaton

    Tagged_Deterministic_Finite_Automaton

  • Complementation of automata
  • Concept in theoretical computer science

    depends on the automaton formalism used to represent the input automaton A and the complement automaton. For instance, if A is a finite automaton, then a complement

    Complementation of automata

    Complementation_of_automata

  • Self-verifying finite automaton
  • automata theory, a self-verifying finite automaton (SVFA) is a special kind of a nondeterministic finite automaton (NFA) with a symmetric kind of nondeterminism

    Self-verifying finite automaton

    Self-verifying_finite_automaton

  • Automata theory
  • Study of abstract machines and automata

    of operations automatically. An automaton with a finite number of states is called a finite automaton (FA) or finite-state machine (FSM). The figure on

    Automata theory

    Automata theory

    Automata_theory

  • Garden of Eden (cellular automaton)
  • Pattern that has no predecessors

    the automaton (usually a one- or two-dimensional infinite square lattice of cells). However, for any Garden of Eden there is at least one finite pattern

    Garden of Eden (cellular automaton)

    Garden of Eden (cellular automaton)

    Garden_of_Eden_(cellular_automaton)

  • Finite-state transducer
  • Finite state machine with two tapes (input, output)

    with an ordinary finite-state automaton, which has a single tape. An FST is a type of finite-state automaton (FSA) that maps between two sets of symbols

    Finite-state transducer

    Finite-state_transducer

  • Rule 110
  • Elementary cellular automaton

    The Rule 110 cellular automaton (often called simply Rule 110) is an elementary cellular automaton with interesting behavior on the boundary between stability

    Rule 110

    Rule 110

    Rule_110

  • Reversible cellular automaton
  • Cellular automaton that can be run backwards

    approximate reversibility." A cellular automaton is defined by its cells (often a one- or two-dimensional array), a finite set of values or states that can

    Reversible cellular automaton

    Reversible cellular automaton

    Reversible_cellular_automaton

  • Infinite-tree automaton
  • Mathematical structure

    infinite-tree automaton is a state machine that deals with infinite tree structures. It can be seen as an extension of top-down finite-tree automata to

    Infinite-tree automaton

    Infinite-tree_automaton

  • Suffix automaton
  • Deterministic finite automaton accepting set of all suffixes of particular string

    string. In terms of automata theory, a suffix automaton is the minimal partial deterministic finite automaton that recognizes the set of suffixes of a given

    Suffix automaton

    Suffix automaton

    Suffix_automaton

  • Michael O. Rabin
  • Israeli mathematician and computer scientist (1931–2026)

    paper "Finite Automata and Their Decision Problems". Soon, using nondeterministic automata, they were able to re-prove Kleene's result that finite state

    Michael O. Rabin

    Michael O. Rabin

    Michael_O._Rabin

  • Block cellular automaton
  • Kind of cellular automaton

    conservation laws. A block cellular automaton consists of the following components: A regular lattice of cells A finite set of the states that each cell

    Block cellular automaton

    Block cellular automaton

    Block_cellular_automaton

  • Elementary cellular automaton
  • Mathematics concept

    computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the

    Elementary cellular automaton

    Elementary cellular automaton

    Elementary_cellular_automaton

  • Thompson's construction
  • Algorithm to transform a regular expression into a finite automaton

    transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). This NFA can be used to match strings against the regular expression

    Thompson's construction

    Thompson's_construction

  • Büchi automaton
  • Automaton which either accepts or rejects infinite inputs

    C=(Q_{C},\Sigma ,\Delta _{C},I_{C},{F}_{C})} be a finite automaton. Union: There is a Büchi automaton that recognizes the language L ( A ) ∪ L ( B ) .

    Büchi automaton

    Büchi automaton

    Büchi_automaton

  • Conway's Game of Life
  • Two-dimensional cellular automaton

    of Life (sometimes abbreviated as CGoL) or simply Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It is

    Conway's Game of Life

    Conway's Game of Life

    Conway's_Game_of_Life

  • Nested word
  • Formal language concept

    a⟩⟨b⟨aa⟩⟨bcc⟩⟨ca. A nested word automaton has a finite number of states, and operates in almost the same way as a deterministic finite automaton on classical strings:

    Nested word

    Nested_word

  • Induction of regular languages
  • defined as a (finite or infinite) set of strings that can be described by one of the mathematical formalisms called "finite automaton", "regular grammar"

    Induction of regular languages

    Induction_of_regular_languages

  • Input/output automaton
  • Term in distributed computing

    set of states of automaton A, denoted states(A), need not be finite. This is a significant generalization of the usual notion of finite automata, as it

    Input/output automaton

    Input/output_automaton

  • Powerset construction
  • Method for making finite automata deterministic

    standard method for converting a nondeterministic finite automaton (NFA) into a deterministic finite automaton (DFA) that recognizes the same formal language

    Powerset construction

    Powerset_construction

  • Weighted automaton
  • Finite-state machine where edges carry weights

    and formal language theory, a weighted automaton or weighted finite-state machine is a generalization of a finite-state machine in which the edges have

    Weighted automaton

    Weighted automaton

    Weighted_automaton

  • Critters (cellular automaton)
  • Reversible block cellular automaton

    periodic boundary conditions (so that the entire space of the cellular automaton is finite) initial fields of random cells that are sufficiently smaller than

    Critters (cellular automaton)

    Critters (cellular automaton)

    Critters_(cellular_automaton)

  • List of computability and complexity topics
  • Deterministic finite automaton Nondeterministic finite automaton Generalized nondeterministic finite automaton Regular language Pumping lemma Myhill–Nerode

    List of computability and complexity topics

    List_of_computability_and_complexity_topics

  • Automata-based programming
  • Programming paradigm based on formal automatons

    it is thought of as a model of a finite-state machine (FSM) or any other (often more complicated) formal automaton (see automata theory). Sometimes a

    Automata-based programming

    Automata-based_programming

  • Subshift of finite type
  • Type of shift space studied in ergodic theory

    the set of labellings of paths through an automaton: a subshift of finite type then corresponds to an automaton which is deterministic. Such systems correspond

    Subshift of finite type

    Subshift_of_finite_type

  • State complexity
  • kinds of finite automata. The classical result in the area is that simulating an n {\displaystyle n} -state nondeterministic finite automaton by a deterministic

    State complexity

    State_complexity

  • Regular expression
  • Sequence of characters that forms a search pattern

    construct a nondeterministic finite automaton (NFA), which is then made deterministic and the resulting deterministic finite automaton (DFA) is run on the target

    Regular expression

    Regular expression

    Regular_expression

  • State-transition table
  • Table in automata theory and sequential logic

    showing what state (or states in the case of a nondeterministic finite automaton) a finite-state machine will move to, based on the current state and other

    State-transition table

    State-transition_table

  • State diagram
  • Diagram of behavior of finite state systems

    state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set of states, normally

    State diagram

    State diagram

    State_diagram

  • List of unsolved problems in computer science
  • List of unsolved computational problems

    problem: How many states are needed in a deterministic finite automaton that behaves differently on two given strings of length n {\displaystyle n} ? What

    List of unsolved problems in computer science

    List_of_unsolved_problems_in_computer_science

  • Formal language
  • Sequence of words formed by specific rules

    expression; those strings accepted by some automaton, such as a Turing machine or finite-state automaton; those strings for which some decision procedure

    Formal language

    Formal language

    Formal_language

  • Turing machine
  • Computation model defining an abstract machine

    can perform to those of a linear bounded automaton if the tape was proportional to the input size, or finite-state machine if it was strictly fixed-length

    Turing machine

    Turing machine

    Turing_machine

  • Read-only Turing machine
  • A read-only Turing machine or two-way deterministic finite-state automaton (2DFA) is class of models of computability that behave like a standard Turing

    Read-only Turing machine

    Read-only_Turing_machine

  • Computability
  • Ability to solve a problem by an effective procedure

    Deterministic finite automaton (DFA) Also called a finite-state machine. All real computing devices in existence today can be modeled as a finite-state machine

    Computability

    Computability

  • Puffer train
  • Cellular automaton pattern

    In a cellular automaton, a puffer train, or simply puffer, is a finite pattern that moves itself across the "universe", leaving debris ("ash") behind.

    Puffer train

    Puffer_train

  • Partition refinement
  • problem, one is given as input a deterministic finite automaton, and must find an equivalent automaton with as few states as possible. Hopcroft's algorithm

    Partition refinement

    Partition_refinement

  • Greenberg–Hastings cellular automaton
  • Excitable cellular automaton

    As in a typical two dimensional cellular automaton, consider a rectangular grid, or checkerboard pattern, of "cells". It can be finite or infinite in extent

    Greenberg–Hastings cellular automaton

    Greenberg–Hastings_cellular_automaton

  • Quantum dot cellular automaton
  • Type of cellular automaton

    cellular automaton (CA) is a discrete dynamical system consisting of a uniform (finite or infinite) grid of cells. Each cell can be in only one of a finite number

    Quantum dot cellular automaton

    Quantum_dot_cellular_automaton

  • Cycle rank
  • Connectivity measure in graph theory

    accepted by the automaton is the language accepted by the automaton A. When speaking of digraph properties of a nondeterministic finite automaton A with state

    Cycle rank

    Cycle_rank

  • Automatic sequence
  • Infinite sequence of terms characterized by a finite automaton

    characterized by a finite automaton. The n-th term of an automatic sequence a(n) is a mapping of the final state reached in a finite automaton accepting the

    Automatic sequence

    Automatic_sequence

  • Regular grammar
  • Type of formal grammar

    and those of a nondeterministic finite automaton, such that the grammar generates exactly the language the automaton accepts. Hence, the right-regular

    Regular grammar

    Regular_grammar

  • ReDoS
  • Regular expression denial-of-service attack

    After building the automaton, several possibilities exist: the engine may convert it to a deterministic finite-state automaton (DFA) and run the input

    ReDoS

    ReDoS

  • String-searching algorithm
  • Searching for patterns in text

    approach, backtracking is avoided by constructing a deterministic finite automaton (DFA) that recognizes a stored search string. These are expensive to

    String-searching algorithm

    String-searching_algorithm

  • Ternary search tree
  • Data structure

    to each word is not required), a minimal deterministic acyclic finite state automaton (DAFSA) would use less space than a trie or a ternary search tree

    Ternary search tree

    Ternary_search_tree

  • Finite element method
  • Numerical method for solving physical or engineering problems

    finite element Isogeometric analysis Lattice Boltzmann methods List of finite element software packages Meshfree methods Movable cellular automaton Multidisciplinary

    Finite element method

    Finite element method

    Finite_element_method

  • Semiautomaton
  • and theoretical computer science, a semiautomaton is a deterministic finite automaton having inputs but no output. It consists of a set Q of states, a set

    Semiautomaton

    Semiautomaton

  • UML state machine
  • State machines and generalizations in UML

    as UML statechart, is an extension of the mathematical concept of a finite automaton in computer science applications as expressed in the Unified Modeling

    UML state machine

    UML_state_machine

  • Abelian sandpile model
  • Cellular automaton

    Abelian sandpile model. The model is a cellular automaton. In its original formulation, each site on a finite grid has an associated value that corresponds

    Abelian sandpile model

    Abelian sandpile model

    Abelian_sandpile_model

  • Digital physics
  • Idea that the universe is fundamentally computational or informational

    best-known form takes the universe to be a cellular automaton: a lattice of cells, each in one of finitely many states, updating in discrete steps according

    Digital physics

    Digital_physics

  • Krohn–Rhodes theory
  • Approach to the study of finite semigroups and automata

    method for decomposing a (deterministic) finite automaton into "simple" components that are themselves finite automata. This joint work, which has implications

    Krohn–Rhodes theory

    Krohn–Rhodes_theory

  • Rule 90
  • Elementary cellular automaton

    90. Rule 90 (on finite rows of cells) can also be simulated by the block oscillators of the two-dimensional Life-like cellular automaton B36/S125, also

    Rule 90

    Rule 90

    Rule_90

  • Regular path query
  • we can see the graph database as a finite automaton, also represent the regular path query as a finite automaton, and check if a suitable path exists

    Regular path query

    Regular_path_query

  • Surjunctive group
  • group is surjunctive. A cellular automaton consists of a regular system of cells, each containing a symbol from a finite alphabet, together with a uniform

    Surjunctive group

    Surjunctive_group

  • Substring index
  • Data structure

    search to be performed symbol-by-symbol The suffix automaton, the minimal deterministic finite automaton that recognizes substrings of a given text, closely

    Substring index

    Substring_index

  • Still life (cellular automaton)
  • Type of pattern that does not change from one generation to the next

    large grid, no more than half of the cells in the plane can be live. For finite square grids, greater densities can be achieved. For instance, the maximum

    Still life (cellular automaton)

    Still_life_(cellular_automaton)

  • Rule 184
  • Elementary cellular automaton

    majority problem is the problem of constructing a cellular automaton that, when run on any finite set of cells, can compute the value held by a majority of

    Rule 184

    Rule 184

    Rule_184

  • Noncommutative signal-flow graph
  • right), or a character from an alphabet picked off the input tape of a finite automaton, while the graph might represent the flow of information or state transitions

    Noncommutative signal-flow graph

    Noncommutative signal-flow graph

    Noncommutative_signal-flow_graph

  • Chvátal–Sankoff constants
  • Mathematics concept

    pioneered an alternative approach in which a deterministic finite automaton is used to read symbols of two input strings and produce a (long but not optimal)

    Chvátal–Sankoff constants

    Chvátal–Sankoff_constants

  • Theory of computation
  • Academic subfield of computer science

    the class of formal languages they are able to recognize. An automaton can be a finite representation of a formal language that may be an infinite set

    Theory of computation

    Theory_of_computation

  • Context-free language
  • Formal language generated by context-free grammar

    there is a direct way to produce a pushdown automaton for the grammar (and thereby the corresponding language), though going the other way (producing a grammar

    Context-free language

    Context-free_language

  • List of unsolved problems in mathematics
  • Farrell–Jones conjecture Finite lattice representation problem: is every finite lattice isomorphic to the congruence lattice of some finite algebra? Goncharov

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Sierpiński triangle
  • Fractal composed of triangles

    standard life will create two mirrored Sierpiński triangles. The time-space diagram of a replicator pattern in a cellular automaton also often resembles a

    Sierpiński triangle

    Sierpiński triangle

    Sierpiński_triangle

  • Sheila Greibach
  • American computer scientist

    and Michael A. Harrison in context-sensitive parsing using the stack automaton model. Besides establishing the normal form (Greibach normal form) for

    Sheila Greibach

    Sheila_Greibach

  • Resident Evil Requiem
  • 2026 video game

    We ask the devs about Leon's role and "RE4-style" battle mechanics". Automaton (Interview). Retrieved December 12, 2025. Zachary, Brandon (January 28

    Resident Evil Requiem

    Resident_Evil_Requiem

  • Theoretical computer science
  • Subfield of computer science and mathematics

    back to the 1960s, states that the entire universe is a huge cellular automaton which continuously updates its rules. Recently it has been suggested that

    Theoretical computer science

    Theoretical computer science

    Theoretical_computer_science

  • Markov decision process
  • Mathematical model for sequential decision making under uncertainty

    such an automaton correspond to the states of a "discrete-state discrete-parameter Markov process". At each time step t = 0,1,2,3,..., the automaton reads

    Markov decision process

    Markov_decision_process

  • Courcelle's theorem
  • On linear-time algorithms for graph logic

    the construction of a finite bottom-up tree automaton that acts on the tree decompositions of the given graph. In more detail, two graphs G1 and G2, each

    Courcelle's theorem

    Courcelle's_theorem

  • TRE (computing)
  • Open-source library for pattern matching in text

    typos of the "swap" type (see Damerau–Levenshtein distance). Levenshtein automaton Comparison of regular expression engines Agrep "R: Pattern Matching for

    TRE (computing)

    TRE_(computing)

  • Turing completeness
  • Ability of a computing system to simulate Turing machines

    a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if it can

    Turing completeness

    Turing completeness

    Turing_completeness

  • Counter machine
  • Abstract machine used in a formal logic and theoretical computer science

    A counter machine or counter automaton is an abstract machine used in a formal logic and theoretical computer science to model computation. It is the

    Counter machine

    Counter_machine

  • Tree-adjoining grammar
  • Grammar formalism

    languages that TAGs can generate may be represented by an embedded pushdown automaton. Tree-adjoining grammars are often described as mildly context-sensitive

    Tree-adjoining grammar

    Tree-adjoining_grammar

  • Shift space
  • Set of infinite words

    considered synonyms. The most widely studied shift spaces are the subshifts of finite type and the sofic shifts. In the classical framework a shift space is any

    Shift space

    Shift_space

  • Wolfram's 2-state 3-symbol Turing machine
  • Mathematical model of abstract computation

    arbitrary finite computations. He then employed a novel approach to extend that construction to unbounded computations. The proof proceeds in two stages

    Wolfram's 2-state 3-symbol Turing machine

    Wolfram's_2-state_3-symbol_Turing_machine

  • Tag system
  • Deterministic model of computation

    called the deletion number. A is a finite alphabet of symbols, one of which can be a special halting symbol. All finite (possibly empty) strings on A are

    Tag system

    Tag_system

  • Markov chain
  • Random process independent of past history

    in the setting with finite state space. In a more abstract way, Markov processes can also be defined or constructed the other way around: Let ( P t )

    Markov chain

    Markov chain

    Markov_chain

  • Unsighted
  • 2021 video game

    Metroidvania adventure game in which players assume the role of Alma, an automaton who has amnesia in the aftermath of a war between humans and robots. In

    Unsighted

    Unsighted

  • Semigroup
  • Algebraic structure

    for any automaton or finite-state machine (FSM). The bicyclic semigroup is in fact a monoid, which can be described as the free semigroup on two generators

    Semigroup

    Semigroup

  • Pattern matching
  • Functional programming construct

    other pattern languages include unique or unusual extensions. Binding A way of associating a name with a portion of the scrutinee, so that the name is

    Pattern matching

    Pattern_matching

  • LR parser
  • Type of parser in computer science

    if we are considering a finite automaton that can read terminals as well as nonterminals. The begin state of this automaton is always the closure of

    LR parser

    LR_parser

  • List of PSPACE-complete problems
  • Emptiness problem for a nondeterministic two-way finite state automaton Equivalence problem for nondeterministic finite automata Word problem and emptiness

    List of PSPACE-complete problems

    List_of_PSPACE-complete_problems

  • John Horton Conway
  • English mathematician (1937–2020)

    recreational mathematics, most notably the invention of the cellular automaton called the Game of Life. Born and raised in Liverpool, Conway spent the

    John Horton Conway

    John Horton Conway

    John_Horton_Conway

  • Synchronizing word
  • Mathematical conjecture

    In computer science, more precisely, in the theory of deterministic finite automata (DFA), a synchronizing word or reset sequence is a word in the input

    Synchronizing word

    Synchronizing word

    Synchronizing_word

  • Edit distance
  • Computer science metric of string similarity

    called the pattern, and a constant k; it then builds a deterministic finite state automaton that finds, in an arbitrary string s, a substring whose edit distance

    Edit distance

    Edit_distance

  • Moore machine
  • Finite-state machine whose output values are determined only by its current state

    In the theory of computation, a Moore machine is a finite-state machine whose current output values are determined only by its current state. This is in

    Moore machine

    Moore_machine

  • Life without Death
  • 2D cellular automaton similar to Conway's Game of Life

    cellular automaton is a type of model studied in mathematics and theoretical biology consisting of a regular grid of cells, each in one of a finite number

    Life without Death

    Life without Death

    Life_without_Death

  • CPU cache
  • Hardware cache of a central processing unit

    to index a way in the set. For example, in a 4-way set associative cache, the two bits are used to index way 00, way 01, way 10, and way 11, respectively

    CPU cache

    CPU_cache

  • Model checking
  • Computer science field

    model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification (also known as correctness)

    Model checking

    Model checking

    Model_checking

  • Longest common subsequence
  • Algorithmic problem on pairs of sequences

    longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from the longest common substring: unlike substrings

    Longest common subsequence

    Longest common subsequence

    Longest_common_subsequence

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