Question

Given the DFA below, describe the language, L, that it recognizes.

Answer 1

The DFA recognizes a language consisting of strings ending with 'abb' and having an even number of 'a's.

Step-by-step explanation:

Language Recognized by DFA

The given DFA recognizes a language consisting of strings that end with 'abb' and have an even number of 'a's. To understand this, let's break it down step-by-step:

1. Start at the initial state, q0.
2. For each input in the string, follow the corresponding transition to move to the next state.
3. If the final state is q2 (accepting state) and you reach the end of the input, then the string belongs to the language recognized by the DFA.

For example, the string 'abaabb' belongs to the language, but 'abaabbb' does not.