We're given these two finite state machines where the alphabet consists of ${a, b, c}$. The question is to determine the language for the following two machines. I tried following the machines to find the language, but the languages I derived are quite verbose.
FSA #1
This FSA accepts words with at least one a followed by zero or more b's or words with at least one a followed by zero or more b's followed by at least one c.
FSA #2
This FSA accepts words with at least one a followed by at least one b or words with at least one a followed by at least one b followed by one c.
I tried converting these FSAs to regular expressions and found that my solutions hold up, but I'm wondering if there is a more concise way to explain the language of each FSA. My language explanations seem quite verbose, so any help would be appreciated.