Question

Find a DFA for the language L = a, b.

Answer 1

A DFA for the language L = {a, b} consists of a start state, two final states for input a and b, and a dead state for any other transitions.

Step-by-step explanation:

The language L = {a, b} can be represented by a Deterministic Finite Automaton (DFA) that accepts only two strings: a and b. To design a DFA for this language, we need a few states to distinguish between accepted and non-accepted inputs.

Steps to Construct the DFA

1. Create a start state q0.
2. Add a transition from q0 to a final state q1 on input a.
3. Add a transition from q0 to another final state q2 on input b.
4. For all other transitions from states q1 and q2 on any input (including a and b), go to a non-final, dead state qd.
5. Any transition from qd stays in qd regardless of the input.

The DFA will accept input a and move to state q1, or it will accept input b and move to state q2. Both q1 and q2 are final states, meaning that if either a or b is the only input, the DFA will accept it.