YES(?,O(n^1)) 0.16/0.22 YES(?,O(n^1)) 0.16/0.22 0.16/0.22 Problem: 0.16/0.22 +(0(),y) -> y 0.16/0.22 +(s(x),y) -> s(+(x,y)) 0.16/0.22 -(0(),y) -> 0() 0.16/0.22 -(x,0()) -> x 0.16/0.22 -(s(x),s(y)) -> -(x,y) 0.16/0.22 0.16/0.22 Proof: 0.16/0.22 Bounds Processor: 0.16/0.22 bound: 1 0.16/0.22 enrichment: match 0.16/0.22 automaton: 0.16/0.22 final states: {4,3} 0.16/0.22 transitions: 0.16/0.22 -1(1,2) -> 4* 0.16/0.22 -1(2,1) -> 4* 0.16/0.22 -1(1,1) -> 4* 0.16/0.22 -1(2,2) -> 4* 0.16/0.22 01() -> 4* 0.16/0.22 s1(6) -> 6,3 0.16/0.22 +1(1,2) -> 6* 0.16/0.22 +1(2,1) -> 6* 0.16/0.22 +1(1,1) -> 6* 0.16/0.22 +1(2,2) -> 6* 0.16/0.22 +0(1,2) -> 3* 0.16/0.22 +0(2,1) -> 3* 0.16/0.22 +0(1,1) -> 3* 0.16/0.22 +0(2,2) -> 3* 0.16/0.22 00() -> 1* 0.16/0.22 s0(2) -> 2* 0.16/0.22 s0(1) -> 2* 0.16/0.22 -0(1,2) -> 4* 0.16/0.22 -0(2,1) -> 4* 0.16/0.22 -0(1,1) -> 4* 0.16/0.22 -0(2,2) -> 4* 0.16/0.22 1 -> 6,4,3 0.16/0.22 2 -> 6,4,3 0.16/0.22 problem: 0.16/0.22 0.16/0.22 Qed 0.16/0.22 EOF