Final answer:
The question involves constructing NFAs for three different regular expressions. The response provides a description of the construction process for each NFA, considering the patterns dictated by the regular expressions.
Step-by-step explanation:
The student is asking to build a nondeterministic finite automaton (NFA) for each of the given regular expressions. An NFA is a conceptual machine used in computer science to recognize patterns described by regular expressions. Each of the given expressions represents a different set of strings that need to be accepted by their corresponding automaton.
Regular Expression a) a*ab(b|c)c
For the first expression a*ab(b|c)c, an NFA can be constructed by first creating a start state that loops on 'a', enabling any number of 'a's to be read. This is followed by a transition to a state on reading 'a', then another transition on 'b', and then a split - one branch transitioning on 'b' and another on 'c', both converging into a state that transitions on 'c' to the final state.
Regular Expression b) ab+((a|b)*c)*b
For the expression ab+((a|b)*c)*b, the NFA starts with a transition on 'a', followed by one or more transitions on 'b'. The subsequent part is a loop that goes through 'a's or 'b's any number of times, followed by a 'c', and this loop can repeat any number of times before finally transitioning on 'b' to the final state.
Regular Expression c) a(abc|cba)*(bac)*
The final expression a(abc|cba)*(bac)* begins with a transition on 'a'. It is followed by a state that can loop through either 'abc' or 'cba', any number of times. After that, there is a loop on 'bac' any number of times, leading up to the final state.