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Given a set of strings is there a finite-state automaton

Question: Which of the following problems is a decision problem?

a) What is the smallest prime greater than n?

b) Is a graph G bipartite?

c) Given a set of strings, is there a finite-state automaton that recognizes this set of strings?

d) Given a checkerboard and a particular type of polyomino (see Section 1.8), can this checkerboard be tiled using polyominoes of this type?

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Theory of Computation: Given a set of strings is there a finite-state automaton

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