• mathematics and computer science, the probabilistic automaton (PA) is a generalization of the nondeterministic finite automaton; it includes the probability of...
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  • Thumbnail for Automata theory
    the infinite sequence of visited states during the run. Probabilistic acceptance: An automaton need not strictly accept or reject an input. It may accept...
    32 KB (3,844 words) - 22:14, 1 March 2025
  • Thumbnail for Weighted automaton
    results. Probabilistic automaton Nondeterministic finite automaton Finite-state transducer Rational series Semiring Matrix ring Timed automaton Fuzzy logic...
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  • Thumbnail for Cellular automaton
    A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...
    66 KB (8,119 words) - 02:55, 25 February 2025
  • theory's point of view. There is a version of the majority cellular automaton with probabilistic updating rules. See the Toom's rule. PCA may be used to simulate...
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  • automata theory, a finite-state machine is called a deterministic finite automaton (DFA), if each of its transitions is uniquely determined by its source...
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  • Thumbnail for Michael O. Rabin
    invited by Edward F. Moore to work at Bell Labs, where Rabin introduced probabilistic automata that employ coin tosses in order to decide which state transitions...
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  • matrices, and a probability vector for the state; this gives a probabilistic finite automaton. The entries in the state vector must be real numbers, positive...
    22 KB (3,639 words) - 15:01, 12 June 2024
  • computational descriptions. As Putnam put it, "everything is a Probabilistic Automaton under some Description". Even rocks, walls, and buckets of water—contrary...
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  • mathematician who also worked in physics and biological sciences: Stan, probabilistic programming language Borsuk–Ulam theorem Erdős–Ulam problem Fermi–Pasta–Ulam–Tsingou...
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  • difference equation Models of DNA evolution Muirhead's inequality Probabilistic automaton Transition rate matrix, used to generalize the stochastic matrix...
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  • refer to this as a quantum dot cellular automaton. Quantum finite automata – Quantum analog of probabilistic automataPages displaying short descriptions...
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  • transitions and influence their firing. Model checking Finite automata Probabilistic automaton Colored Petri net "Linear Temporal Logic of Constraint Automata"...
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  • making it extremely practical to perform computing with them. A cellular automaton (CA) is a discrete dynamical system consisting of a uniform (finite or...
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  • expression Regular grammar Prefix grammar Tree automaton Pushdown automaton Context-free grammar Büchi automaton Chomsky hierarchy Context-sensitive language...
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  •  408–423. Probabilistic I/O Automaton: Wu, Sue-Hwey; Smolka, Scott A.; Stark, Eugene W. (April 1997). "Composition and behaviors of probabilistic I/O automata"...
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  • hominem Proactionary principle Probabilism Probabilistic automaton Probabilistic causation Probabilistic independence Probability Probability calculus...
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  • deterministic automaton is not needed. Indeed, semi-deterministic Büchi automata are sufficient in probabilistic model checking. A Büchi automaton (Q,Σ,∆,Q0...
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  • (TM) in the same way that the quantum finite automaton (QFA) generalizes the deterministic finite automaton (DFA). In essence, the internal states of a...
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  • Thumbnail for Ulam–Warburton automaton
    The Ulam–Warburton cellular automaton (UWCA) is a 2-dimensional fractal pattern that grows on a regular grid of cells consisting of squares. Starting...
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  • Performic acid See also PFAS, Per- and polyfluoroalkyl substances Probabilistic finite automaton .pfa, Printer Font ASCII, a file extension for PostScript Printer...
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  • In theoretical linguistics and computational linguistics, probabilistic context free grammars (PCFGs) extend context-free grammars, similar to how hidden...
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  • can be described by one of the mathematical formalisms called "finite automaton", "regular grammar", or "regular expression", all of which have the same...
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  • Thumbnail for Ewan Birney
    doctoral research used dynamic programming, finite-state machines and probabilistic automatons for sequence alignment. While he was a student he completed internships...
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  • procedure Printed circuit assembly or printed circuit board Probabilistic cellular automaton (Math/Stochastic Processes) Protocatechuic acid, a polyphenol...
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  • were designed to distinguish and map different states in a finite-state automaton. Since then, the primary emphasis has been shifted to the robotics system...
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  • digital computation device, or as the output of a deterministic or probabilistic computer program. The hypothesis that the universe is a digital computer...
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  • Thumbnail for Mark I Perceptron
    Rosenblatt, Frank (January 1957). "The Perceptron—a perceiving and recognizing automaton" (PDF). Cornell Aeronautical Laboratory. "Professor's perceptron paved...
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  • Toom's rule (category Cellular automaton rules)
    setting p=q=0. Toom's rule is an example of a probabilistic cellular automata (see Stochastic cellular automaton), defined on the lattice Z 2 {\displaystyle...
    8 KB (1,244 words) - 15:09, 5 January 2024
  • contrasts 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...
    20 KB (2,547 words) - 18:00, 18 January 2025