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A deterministic automaton system can have ______ transition for a given state of an input symbol.

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A deterministic automaton system can have ______ transition for a given state of an input symbol.

(a) exactly one

(b) more than one

(c) no transition

(d) 2n transition

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Enquiry is from Modeling Computations topic in chapter Boolean Algebra and Modeling Computations of Discrete Mathematics

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Right choice is (a) exactly one

To explain: In a deterministic automaton, for each possible input every state has exactly one transition. In a non-deterministic automaton, an input can have one, more than one, or no transition for a given state. In the study of computation, a transition system is used and it can be made of states and transitions between states, which may be labeled with labels chosen from a set.

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