YES(?,O(n^1)) 0.16/1.09 YES(?,O(n^1)) 0.16/1.10 0.16/1.10 Problem: 0.16/1.10 h(x,c(y,z)) -> h(c(s(y),x),z) 0.16/1.10 h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z))) 0.16/1.10 0.16/1.10 Proof: 0.16/1.10 Bounds Processor: 0.16/1.10 bound: 2 0.16/1.10 enrichment: match 0.16/1.10 automaton: 0.16/1.10 final states: {4} 0.16/1.10 transitions: 0.16/1.10 h1(22,16) -> 4* 0.16/1.10 h1(12,16) -> 4* 0.16/1.10 h1(2,16) -> 4* 0.16/1.10 h1(8,1) -> 4* 0.16/1.10 h1(8,3) -> 4* 0.16/1.10 h1(34,16) -> 4* 0.16/1.10 h1(1,16) -> 4* 0.16/1.10 h1(12,1) -> 4* 0.16/1.10 h1(12,3) -> 4* 0.16/1.10 h1(8,2) -> 4* 0.16/1.10 h1(28,16) -> 4* 0.16/1.10 h1(8,16) -> 4* 0.16/1.10 h1(3,16) -> 4* 0.16/1.10 h1(30,16) -> 4* 0.16/1.10 h1(12,2) -> 4* 0.16/1.10 c1(2,16) -> 13* 0.16/1.10 c1(3,1) -> 13* 0.16/1.10 c1(3,3) -> 13* 0.16/1.10 c1(7,28) -> 8* 0.16/1.10 c1(7,30) -> 8* 0.16/1.10 c1(7,34) -> 8* 0.16/1.10 c1(15,13) -> 16* 0.16/1.10 c1(11,2) -> 8* 0.16/1.10 c1(1,2) -> 13* 0.16/1.10 c1(11,8) -> 8* 0.16/1.10 c1(11,12) -> 8* 0.16/1.10 c1(1,16) -> 13* 0.16/1.10 c1(7,1) -> 8* 0.16/1.10 c1(2,1) -> 13* 0.16/1.10 c1(7,3) -> 8* 0.16/1.10 c1(2,3) -> 13* 0.16/1.10 c1(11,28) -> 8* 0.16/1.10 c1(11,30) -> 8* 0.16/1.10 c1(11,34) -> 8* 0.16/1.10 c1(3,2) -> 13* 0.16/1.10 c1(3,16) -> 13* 0.16/1.10 c1(15,16) -> 16* 0.16/1.10 c1(11,1) -> 12* 0.16/1.10 c1(1,1) -> 13* 0.16/1.10 c1(11,3) -> 8* 0.16/1.10 c1(1,3) -> 13* 0.16/1.10 c1(7,2) -> 8* 0.16/1.10 c1(2,2) -> 13* 0.16/1.10 c1(7,8) -> 8* 0.16/1.10 c1(7,12) -> 8* 0.16/1.10 s1(2) -> 7* 0.16/1.10 s1(14) -> 15* 0.16/1.10 s1(1) -> 11* 0.16/1.10 s1(3) -> 7* 0.16/1.10 01() -> 14* 0.16/1.10 h2(22,16) -> 4* 0.16/1.10 h2(28,1) -> 4* 0.16/1.10 h2(28,3) -> 4* 0.16/1.10 h2(34,2) -> 4* 0.16/1.10 h2(34,16) -> 4* 0.16/1.10 h2(30,1) -> 4* 0.16/1.10 h2(30,3) -> 4* 0.16/1.10 h2(22,13) -> 4* 0.16/1.10 h2(28,2) -> 4* 0.16/1.10 h2(28,16) -> 4* 0.16/1.10 h2(34,1) -> 4* 0.16/1.10 h2(34,3) -> 4* 0.16/1.10 h2(30,2) -> 4* 0.16/1.10 h2(30,16) -> 4* 0.16/1.10 h0(3,1) -> 4* 0.16/1.10 h0(3,3) -> 4* 0.16/1.10 h0(1,2) -> 4* 0.16/1.10 h0(2,1) -> 4* 0.16/1.10 h0(2,3) -> 4* 0.16/1.10 h0(3,2) -> 4* 0.16/1.10 h0(1,1) -> 4* 0.16/1.10 h0(1,3) -> 4* 0.16/1.10 h0(2,2) -> 4* 0.16/1.10 c2(27,22) -> 28* 0.16/1.10 c2(29,22) -> 30* 0.16/1.10 c2(21,2) -> 22* 0.16/1.10 c2(21,8) -> 22* 0.16/1.10 c2(21,12) -> 22* 0.16/1.10 c2(21,22) -> 22* 0.16/1.10 c2(21,28) -> 22* 0.16/1.10 c2(21,30) -> 22* 0.16/1.10 c2(21,34) -> 22* 0.16/1.10 c2(33,22) -> 34* 0.16/1.10 c2(21,1) -> 22* 0.16/1.10 c2(21,3) -> 22* 0.16/1.10 c0(3,1) -> 1* 0.16/1.10 c0(3,3) -> 1* 0.16/1.10 c0(1,2) -> 1* 0.16/1.10 c0(2,1) -> 1* 0.16/1.10 c0(2,3) -> 1* 0.16/1.10 c0(3,2) -> 1* 0.16/1.10 c0(1,1) -> 1* 0.16/1.10 c0(1,3) -> 1* 0.16/1.10 c0(2,2) -> 1* 0.16/1.10 s2(15) -> 21* 0.16/1.10 s2(2) -> 27* 0.16/1.10 s2(1) -> 33* 0.16/1.10 s2(3) -> 29* 0.16/1.10 s0(2) -> 2* 0.16/1.10 s0(1) -> 2* 0.16/1.10 s0(3) -> 2* 0.16/1.10 00() -> 3* 0.16/1.10 problem: 0.16/1.10 0.16/1.10 Qed 0.16/1.10 EOF