Constructing a DFA from a Regular Expression: How to Handle * and () Operators?

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SUMMARY

The discussion focuses on constructing a Deterministic Finite Automaton (DFA) from the regular expression a*(ab)*c*. Participants suggest starting with a Non-deterministic Finite Automaton (NFA) and then converting it to a DFA, referencing the powerset construction method. The correct interpretation of the regular expression is emphasized, clarifying that it should be read as a* rather than *a. This foundational understanding is crucial for successfully implementing the DFA.

PREREQUISITES
  • Understanding of regular expressions, specifically a*(ab)*c*
  • Knowledge of finite automata, including DFA and NFA concepts
  • Familiarity with the powerset construction method for converting NFA to DFA
  • Basic programming skills for implementing the DFA
NEXT STEPS
  • Research the powerset construction method for converting NFA to DFA
  • Study the properties and applications of regular expressions in automata theory
  • Learn about state minimization techniques for optimizing DFA
  • Explore practical implementations of DFAs in programming languages
USEFUL FOR

Students studying automata theory, computer science enthusiasts, and software developers interested in formal language processing and automata implementations.

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Homework Statement


Construct a DFA based on the regular express.

Regular expr = *a(ab)*c*


Homework Equations


How do you construct a DFA out of this regular expr?

The Attempt at a Solution


Here's what I think it says...

it can accept 0 or more a,c, and ordered pair of ab.



the construction of the DFA is where I am stuck.
 
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doh! yeah it's a*(ab)*c*
 

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