Final answer:
The regular expression FA accepting {bbb baa} * {a} represents a finite automaton (FA) that accepts strings consisting of one or more occurrences of the patterns "bbb" or "baa," followed by the character "a."
Step-by-step explanation:
The regular expression provided can be broken down into two parts: {bbb baa} and {a}. The first part, {bbb baa}, indicates that the FA should accept strings containing either "bbb" or "baa" as patterns. The asterisk (*) after this expression means zero or more occurrences, allowing for flexibility in the repetition of these patterns. The second part, {a}, specifies that the accepted strings must end with the character "a."
To design a finite automaton for this regular expression, you would create states corresponding to different patterns and transitions between them based on the characters encountered in the input string. For example, you might have states representing the presence of "bbb," "baa," and the final state indicating the acceptance of strings ending with "a." Transitions would be defined based on the characters read, leading from one state to another.
This finite automaton design ensures that the specified patterns are recognized in the input strings, meeting the criteria outlined in the regular expression.
In summary, the given regular expression describes a finite automaton that accepts strings conforming to the patterns "bbb" or "baa" occurring zero or more times, followed by the character "a." The design of the finite automaton involves creating states and transitions to recognize these patterns in input strings.