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