Question

Let E=a(a+b∗)+b be a regular expression over the alphabet Σ={a,b}. Use the template method to construct an ε−NFA that accepts the language of E.

Let Σ={0,1}. TRUE or FALSE (with explanation): (01)∗≡0∗1∗.

Answer 1

To construct an ε−NFA for the given regular expression E, use the template method by constructing an ε−NFA for the inner expression and connecting it to the outer expression using ε-transitions.

Step-by-step explanation:

A regular expression is a sequence of characters that represents a pattern. To construct an ε−NFA for the given regular expression E=a(a+b∗)+b, we can use the template method. Here's how:

1. Start by constructing an ε−NFA for the inner expression a+b∗.
2. Next, connect the accept states of the inner ε−NFA to the start state of the outer ε−NFA using ε-transitions.
3. Finally, connect the accept states of the outer ε−NFA to the start state of the inner ε−NFA using ε-transitions.

This ε−NFA will accept the language of the regular expression E.