Question

If E is a regular expression, then there is a finite automaton M such that L(M) = L(E).

True
False

Answer 1

True. If E is a regular expression, there is a finite automaton that recognizes the language generated by E.

Step-by-step explanation:

True.

If E is a regular expression, there is a finite automaton M that recognizes the language generated by E. In other words, there exists a finite automaton that accepts exactly the same set of strings as the regular expression E.

For example, if E is the regular expression (a|b)*, it represents the language of all strings that consist of zero or more occurrences of the letters a and b. There is a finite automaton that can accept this language, and therefore, the regular expression is equivalent to a finite automaton.