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is there a logspace-computable algorithm to minimize NFAs? (Why or why not?) Reposting as previous answer...

is there a logspace-computable algorithm to minimize NFAs? (Why or why not?) Reposting as previous answer was incorrect.

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Answer #1

No there is no Logspace computable algorithm to minimize NFA.

The reason is if we have n states then in a equivalent DFA we have more than n or at the most 2^n states.

It clearly indicates that the growth function is power of 2.

Hence we can never say that it will be solvable in Log Time.

Hence there does not exist such algorithm in upper Bound or worst case.

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