Regular Expression to FA Converter

Regular Expression to FA Converter Visually

This interactive tool demonstrates the conversion of a Regular Expression to a Finite syx using Thompson Construction Algorithm.The process involves parsing the regular expression and building an NFA that recognizes the same language.

Regular Expression Thompson's Construction Non-deterministic Finite syx Parse Tree State Transitions Automata Conversion

Regex to Automata Converter

Supported operators: | (OR), * (Kleene Star), + (Plus), () (Grouping)

Regex Length: 0

States Generated: 0

Transitions: 0

Algorithm: Thompson's Construction

Automata Visualization

Thompson's Construction Steps

Enter a regular expression and click convert to see the step-by-step construction.

Complexity Analysis

Growth Analysis

Theory and Explanation

Thompson's Construction Algorithm

Thompson's construction algorithm transforms a regular expression into an equivalent nondeterministic finite syx (NFA). This algorithm is fundamental in compiler design and text processing applications.

Basic Rules:
  • Empty String (ε): Creates an NFA with two states connected by an ε-transition
  • Single Symbol (a): Creates an NFA with two states connected by a transition labeled 'a'
  • Concatenation (AB): Connects NFAs for A and B in sequence
  • Union (A|B): Creates a new start state with ε-transitions to both NFAs
  • Kleene Star (A*): Creates loops with ε-transitions for zero or more repetitions
Applications:
  • Regular expression engines in programming languages
  • Text editors and search tools
  • Lexical analyzers in compilers
  • Pattern matching systems

Interactive Simulation

Simulation Results:

Status: Ready

Accepted: -

Path: -

Predefined Examples

Multiple Choice Questions

1. What is the primary purpose of Thompson's construction?
2. Which operator is NOT supported in basic Thompson's construction?