lanedavis2944 lanedavis2944

13-06-2021
Computers and Technology

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Explain why Thompson's Construction Algorithm is considered to be a proof by induction. Hint: consider what the inductive steps and base cases are. What does Thompson's Construction Algorithm prove

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hyderali230 hyderali230

14-06-2021

Answer:

We assume that the NFA for the expression S is theorem by using the expressions given below.

Cases as

NFA for empty-expression is ε

NFA for symbol is a
NFA for union expression is a|b
NFA for concatenation expression is ab
NFA for Kleene star expression is a*

Thompson's Construction Algorithm proves that any expression can be expressions in the NFA's.

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