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THIS IS A QUESTION ON FINITE STATE AUTOMATA: Consider the following language called best friends forever BFFs = {( , ) | L(M1) = {

THIS IS A QUESTION ON FINITE STATE AUTOMATA:

Consider the following language called best friends forever BFFs = {(,) | L(M1) = {} and L(M2) = {}} .

a. Prove that BFFs is undecidable.

b. Prove that BFFs is unrecognizable.

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