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
1 answer:
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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