Question

Given the regular expression: 0(0∣1) ∗0 Construct and ε-NFA and draw its transition graph

Answer 1

To construct an ε-NFA for the given regular expression, 0(0∣1)∗0, follow a step-by-step process. The resulting transition graph will have 7 states.

Step-by-step explanation:

To construct an ε-NFA for the given regular expression, 0(0∣1)∗0, we need to follow a step-by-step process:

1. Start with a single start state, S.
2. Create two new states, A and B.
3. Add transitions from S to A and S to B, labeled with 0.
4. Add transitions from A to A and A to B, labeled with 0 or 1.
5. Add a transition from B to B, labeled with 0.
6. Add a transition from B to an accepting state, labeled with ε.
7. Make all states reachable using ε-transitions.

The transition graph for the ε-NFA will have 7 states: S, A, B, and 4 additional states created during step 7. The transitions will be labeled with 0, 1, and ε.