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1. Give grammars for (a) L = { a^m b^n | 0

1. Give grammars for (a) L = { a^m b^n | 0 <=m <= n } (b) L = { a^m b^n | 0 <=m <= 2n } (c) L = { a^m b^n | n <=m <= 2n } (d) L = { a^n b^(n+1) | n = 0.1.2, ... } In all cases, use only one non-terminal. 2. Construct a dfa that accepts all trings over Sig with exactly one 'a'.

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