219k views
1 vote
Build the corresponding nondeterministic finite state machine (AFN) for each of the following regular expressions:

a) a*ab(b|c)c
b) ab+((a|b)*c)*b
c) a(abc|cba)*(bac)*

User Berkus
by
7.8k points

1 Answer

5 votes

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.

User Papo
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.