Optimizing and minimization of a Deterministic Finite Automata

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SUMMARY

The discussion centers on the optimization and minimization of a Deterministic Finite Automaton (DFA). A participant expresses confusion over their approach to minimizing a DFA, questioning their methodology after comparing it with a book's answer. Another participant points out that the original answer provided is not a valid DFA and suggests that the eigenvalue method may not be appropriate for this problem. The consensus emphasizes the importance of understanding the fundamental properties of DFAs for accurate minimization.

PREREQUISITES
  • Understanding of Deterministic Finite Automata (DFA)
  • Familiarity with DFA minimization techniques
  • Knowledge of state equivalence in automata theory
  • Basic concepts of eigenvalue methods in computational theory
NEXT STEPS
  • Research DFA minimization algorithms, such as the Hopcroft's algorithm
  • Study state equivalence and partition refinement techniques in automata
  • Explore the application of eigenvalue methods in computational problems
  • Practice problems on DFA optimization to solidify understanding
USEFUL FOR

Students and professionals in computer science, particularly those focusing on automata theory, algorithm design, and optimization techniques in computational models.

gratusri
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Thread moved from the technical math forums to the schoolwork forums
so this is the question , I have to minimize this DFA

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this is How I did it

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but when I checked for answers , this is what it was,
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can someone please explain to me what mistake I made? I have been wondering about this for past 2 days
 
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gratusri said:
can someone please explain to me what mistake I made?
No idea but your answer is not even a single DFA. The book answer is clearly correct and can be determined quickly by inspection*: are you sure you are expected to use an eigenvalue method to get to the answer?

*Note that there are no paths to q2 and q4 and q3 accepts so the path to q5 is irrelevant
 

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