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For example, quantum finite automata, geometric automata and metric automata have probabilistic acceptance. Different combinations of the above variations produce many classes of automata. Automata theory is a subject matter that studies properties of various types of automata.
Examples of automaton clocks include chariot clocks and cuckoo clocks. The Cuckooland Museum exhibits autonomous clocks. While automaton clocks are largely perceived to have been in use during medieval times in Europe, they are largely produced in Japan today. In Automata theory, clocks are regarded as timed automatons, a type of finite automaton.
A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation.It is an abstract machine that can be in exactly one of a finite number of states at any given time.
Automata-based programming is a programming paradigm in which the program or part of 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 potentially infinite set of possible states is introduced, and such a set can have a complicated structure, not ...
For example, in a 1-dimensional cellular automaton like the examples below, the neighborhood of a cell x i t is {x i−1 t−1, x i t−1, x i+1 t−1}, where t is the time step (vertical), and i is the index (horizontal) in one generation.
Class 1: Cellular automata which rapidly converge to a uniform state. Examples are rules 0, 32, 160 and 232. Class 2: Cellular automata which rapidly converge to a repetitive or stable state. Examples are rules 4, 108, 218 and 250. Class 3: Cellular automata which appear to remain in a random state. Examples are rules 22, 30, 126, 150, 182.
In automata theory, a deterministic pushdown automaton (DPDA or DPA) is a variation of the pushdown automaton. The class of deterministic pushdown automata accepts the deterministic context-free languages , a proper subset of context-free languages .
In a typical distributed system where both process automata and communication channel automata exist, they are composed in a way that output actions of one automaton are matched and executed with identically-named input actions of the other automata. For example, consider a system composed of two process, P i and P j, and a communication ...