0.99/0.58 NO 0.99/0.58 0.99/0.58 Problem: 0.99/0.58 0(q0(0(x1))) -> 0(0(q0(x1))) 0.99/0.58 0(q0(1(x1))) -> 0(1(q0(x1))) 0.99/0.58 1(q0(0(x1))) -> 0(0(q1(x1))) 0.99/0.58 1(q0(1(x1))) -> 0(1(q1(x1))) 0.99/0.58 1(q1(0(x1))) -> 1(0(q1(x1))) 0.99/0.58 1(q1(1(x1))) -> 1(1(q1(x1))) 0.99/0.58 0(q1(0(x1))) -> 0(0(q2(x1))) 0.99/0.58 0(q1(1(x1))) -> 0(1(q2(x1))) 0.99/0.58 1(q2(0(x1))) -> 1(0(q2(x1))) 0.99/0.58 1(q2(1(x1))) -> 1(1(q2(x1))) 0.99/0.58 0(q2(x1)) -> q3(1(x1)) 0.99/0.58 1(q3(x1)) -> q3(1(x1)) 0.99/0.58 0(q3(x1)) -> q4(0(x1)) 0.99/0.58 1(q4(x1)) -> q4(1(x1)) 0.99/0.58 0(q4(0(x1))) -> 1(0(q5(x1))) 0.99/0.58 0(q4(1(x1))) -> 1(1(q5(x1))) 0.99/0.58 1(q5(0(x1))) -> 0(0(q1(x1))) 0.99/0.58 1(q5(1(x1))) -> 0(1(q1(x1))) 0.99/0.58 0(q5(x1)) -> q6(0(x1)) 0.99/0.58 1(q6(x1)) -> q6(1(x1)) 0.99/0.58 1(q7(0(x1))) -> 0(0(q8(x1))) 0.99/0.58 1(q7(1(x1))) -> 0(1(q8(x1))) 0.99/0.58 0(q8(x1)) -> 0(q0(x1)) 0.99/0.58 1(q8(0(x1))) -> 1(0(q8(x1))) 0.99/0.58 1(q8(1(x1))) -> 1(1(q8(x1))) 0.99/0.58 0(q6(x1)) -> q9(0(x1)) 0.99/0.58 0(q9(0(x1))) -> 1(0(q7(x1))) 0.99/0.58 0(q9(1(x1))) -> 1(1(q7(x1))) 0.99/0.58 1(q9(x1)) -> q9(1(x1)) 0.99/0.58 h(q0(x1)) -> h(0(q0(x1))) 0.99/0.58 q0(h(x1)) -> q0(0(h(x1))) 0.99/0.58 h(q1(x1)) -> h(0(q1(x1))) 0.99/0.58 q1(h(x1)) -> q1(0(h(x1))) 0.99/0.58 h(q2(x1)) -> h(0(q2(x1))) 0.99/0.58 q2(h(x1)) -> q2(0(h(x1))) 0.99/0.58 h(q3(x1)) -> h(0(q3(x1))) 0.99/0.58 q3(h(x1)) -> q3(0(h(x1))) 0.99/0.58 h(q4(x1)) -> h(0(q4(x1))) 0.99/0.58 q4(h(x1)) -> q4(0(h(x1))) 0.99/0.58 h(q5(x1)) -> h(0(q5(x1))) 0.99/0.58 q5(h(x1)) -> q5(0(h(x1))) 0.99/0.58 h(q6(x1)) -> h(0(q6(x1))) 0.99/0.58 q6(h(x1)) -> q6(0(h(x1))) 0.99/0.58 0.99/0.58 Proof: 0.99/0.58 String Reversal Processor: 0.99/0.58 0(q0(0(x1))) -> q0(0(0(x1))) 0.99/0.58 1(q0(0(x1))) -> q0(1(0(x1))) 0.99/0.58 0(q0(1(x1))) -> q1(0(0(x1))) 0.99/0.58 1(q0(1(x1))) -> q1(1(0(x1))) 0.99/0.58 0(q1(1(x1))) -> q1(0(1(x1))) 0.99/0.58 1(q1(1(x1))) -> q1(1(1(x1))) 0.99/0.58 0(q1(0(x1))) -> q2(0(0(x1))) 0.99/0.58 1(q1(0(x1))) -> q2(1(0(x1))) 0.99/0.58 0(q2(1(x1))) -> q2(0(1(x1))) 0.99/0.58 1(q2(1(x1))) -> q2(1(1(x1))) 0.99/0.58 q2(0(x1)) -> 1(q3(x1)) 0.99/0.58 q3(1(x1)) -> 1(q3(x1)) 0.99/0.58 q3(0(x1)) -> 0(q4(x1)) 0.99/0.58 q4(1(x1)) -> 1(q4(x1)) 0.99/0.58 0(q4(0(x1))) -> q5(0(1(x1))) 0.99/0.58 1(q4(0(x1))) -> q5(1(1(x1))) 0.99/0.58 0(q5(1(x1))) -> q1(0(0(x1))) 0.99/0.58 1(q5(1(x1))) -> q1(1(0(x1))) 0.99/0.58 q5(0(x1)) -> 0(q6(x1)) 0.99/0.58 q6(1(x1)) -> 1(q6(x1)) 0.99/0.58 0(q7(1(x1))) -> q8(0(0(x1))) 0.99/0.58 1(q7(1(x1))) -> q8(1(0(x1))) 0.99/0.58 q8(0(x1)) -> q0(0(x1)) 0.99/0.58 0(q8(1(x1))) -> q8(0(1(x1))) 0.99/0.58 1(q8(1(x1))) -> q8(1(1(x1))) 0.99/0.58 q6(0(x1)) -> 0(q9(x1)) 0.99/0.58 0(q9(0(x1))) -> q7(0(1(x1))) 0.99/0.58 1(q9(0(x1))) -> q7(1(1(x1))) 0.99/0.58 q9(1(x1)) -> 1(q9(x1)) 0.99/0.58 q0(h(x1)) -> q0(0(h(x1))) 0.99/0.58 h(q0(x1)) -> h(0(q0(x1))) 0.99/0.58 q1(h(x1)) -> q1(0(h(x1))) 0.99/0.58 h(q1(x1)) -> h(0(q1(x1))) 0.99/0.58 q2(h(x1)) -> q2(0(h(x1))) 0.99/0.58 h(q2(x1)) -> h(0(q2(x1))) 0.99/0.58 q3(h(x1)) -> q3(0(h(x1))) 0.99/0.58 h(q3(x1)) -> h(0(q3(x1))) 0.99/0.58 q4(h(x1)) -> q4(0(h(x1))) 0.99/0.58 h(q4(x1)) -> h(0(q4(x1))) 0.99/0.58 q5(h(x1)) -> q5(0(h(x1))) 0.99/0.58 h(q5(x1)) -> h(0(q5(x1))) 0.99/0.58 q6(h(x1)) -> q6(0(h(x1))) 0.99/0.58 h(q6(x1)) -> h(0(q6(x1))) 0.99/0.58 Unfolding Processor: 0.99/0.58 loop length: 2 0.99/0.58 terms: 0.99/0.58 h(q0(0(x3614))) 0.99/0.58 h(0(q0(0(x3614)))) 0.99/0.58 context: [] 0.99/0.58 substitution: 0.99/0.58 x3614 -> 0(x3614) 0.99/0.58 Qed 0.99/0.59 EOF