a. If a regex is used frequently (and it does not include any "fancy" features that prevent an automaton implementation) then the regex can be converted into an NFA using Thompson's Construction. It is then possible to convert the NFA into a DFA using the subset construction algorithm3. You don't need to know the details to understand the complexity of this algorithm. State that worst-case asymptotic complexity, and why this is also called the powerset construction algorithm.

Computer Networking: A Top-Down Approach (7th Edition)
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a. If a regex is used frequently (and it does not include any "fancy" features that
prevent an automaton implementation) then the regex can be converted into an
NFA using Thompson's Construction. It is then possible to convert the NFA into a
DFA using the subset construction algorithm³. You don't need to know the
details to understand the complexity of this algorithm. State that worst-case
asymptotic complexity, and why this is also called the powerset construction
algorithm.
Transcribed Image Text:a. If a regex is used frequently (and it does not include any "fancy" features that prevent an automaton implementation) then the regex can be converted into an NFA using Thompson's Construction. It is then possible to convert the NFA into a DFA using the subset construction algorithm³. You don't need to know the details to understand the complexity of this algorithm. State that worst-case asymptotic complexity, and why this is also called the powerset construction algorithm.
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