Conversion of RE to NFA
The objective of this experiment is to convert a given Regular Expression (RE) into an equivalent Non-Deterministic Finite Automaton (NFA) using Thompson’s Construction method.
This experiment demonstrates the step-by-step transformation process, enabling learners to understand how regular expressions can be systematically represented as finite automata.
This is a key concept in pattern recognition, lexical analysis, and compiler design.
Thompson’s Construction is an algorithmic method that constructs an NFA from a regular expression by recursively handling its basic operators:
- Concatenation (
AB) → Connect the NFA ofAto the NFA ofBusing ε-transitions. - Union (
A|B) → Create a new start state with ε-transitions to the start states ofAandB, and a new final state with ε-transitions from the final states ofAandB. - Kleene Star (
A*) → Create a new start and final state. Connect the start state toA’s start and to the new final state via ε-transitions. Loop fromA’s final state back to its start and to the new final state using ε-transitions.
This ensures that the resulting NFA accepts the same language as the original regular expression.