Question: When L is a language, lengths(L) denotes the language {1|w|: w L}1?. (1) Regular languages: (a) Let ALLLENNFA = {M : M is an NFA

When L is a language, lengths(L) denotes the language {1|w|: w L}1?. (1) Regular languages: (a) Let ALLLENNFA = {M : M is an NFA for which lengths(L(M )) = 1?}. Prove or disprove: ALLLEN NFA is decidable. (b) Let REGLENNFA = {M : M is an NFA for which lengths(L(M )) is regular}. Prove or disprove: REGLEN NFA is decidable.

When L is a language, lengths(L) denotes the language {1|w|: w L}1?.

When L is a language, lengths(L) denotes the language {1l": WEL}

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