Question: 1. (10 points) (No justifications are necessary for this problem.) Consider the PDA over the alphabet 0, 1) given by the state diagram: 0,e:0 1,0;

1. (10 points) (No justifications are necessary for this problem.) Consider the PDA over the alphabet 0, 1) given by the state diagram: 0,e:0 1,0; q0 q1 q4 q3 q2 1.0; a) Write a description in set builder notation of the language that is recognized by this PDA b) Write a CFG that generates the language recognized by this PDA c) Write out a left-most derivation for the string 001111000 using your CFG from part b
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