YES(?,O(n^1)) TRS: { h(x, c(y, z)) -> h(c(s y, x), z), h(c(s x, c(s 0(), y)), z) -> h(y, c(s 0(), c(x, z))) } DUP: We consider a non-duplicating system. Trs: { h(x, c(y, z)) -> h(c(s y, x), z), h(c(s x, c(s 0(), y)), z) -> h(y, c(s 0(), c(x, z))) } BOUND: Bound: match(-raise)-bounded by 2 Automaton: { 0_1() -> 4* 0_0() -> 1* s_2(5) -> 8* s_2(1) -> 10* s_1(4) -> 5* s_1(1) -> 2* s_0(1) -> 1* c_2(10, 9) -> 11* c_2(8, 11) -> 9* c_2(8, 9) -> 9* c_2(8, 3) -> 9* c_2(8, 1) -> 9* c_1(5, 7) -> 7* c_1(5, 6) -> 7* c_1(2, 11) -> 3* c_1(2, 3) -> 3* c_1(2, 1) -> 3* c_1(1, 7) -> 6* c_1(1, 1) -> 6* c_0(1, 1) -> 1* h_2(11, 7) -> 1* h_2(11, 1) -> 1* h_2(9, 7) -> 1* h_2(9, 6) -> 1* h_1(11, 7) -> 1* h_1(9, 7) -> 1* h_1(3, 7) -> 1* h_1(3, 1) -> 1* h_1(1, 7) -> 1* h_0(1, 1) -> 1* } Strict: {} Qed