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1. (2) Let M be a deterministic finite automaton. Describe a construction that produces a finite automaton N such that non-deterministic L(N) = {w|w

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1. (2) Let M be a deterministic finite automaton. Describe a construction that produces a finite automaton N such that non-deterministic L(N) = {w|w is a substring of some string in L(M)}. What closure property does this imply about regular languages?

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