Exercise 2 1. Let M be the following Turing machine: 1 Input alphabet: E = {0,1} Tape alphabet: T= {0,1,U} Set of states: 91,0, R | q1,0, R 91,0, R | q1,0, R | q2, U, L 42 41,0, R %3D Q = {qo, 91, 42, Ta, qr} la 92, U, L For each statement indicate whether it is true or false. 1. M loops on all inputs. 2. M loops on some inputs. 3. The language accepted by M is not empty.

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