Question: In this exercise the alphabet ={ a , b }. (3p) Define an NFA A (without -transitions) over such that L ( A )= M

In this exercise the alphabet ={a,b}.

  1. (3p) Define an NFA A (without -transitions) over such that L(A)=MN, where M={w* | u,v*. w=ubaav} and N contains exactly those strings in * where every occurrence of a is directly followed by two or more occurrences of b.

  2. (2p) Use the subset construction to build a corresponding DFA. You are allowed to omit inaccessible states.

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