YES(?,O(n^1)) TRS: { minus minus x -> x, +(minus x, +(x, y)) -> y, +(+(x, y), minus y) -> x, minux +(x, y) -> +(minus y, minus x) } DUP: We consider a non-duplicating system. Trs: { minus minus x -> x, +(minus x, +(x, y)) -> y, +(+(x, y), minus y) -> x, minux +(x, y) -> +(minus y, minus x) } Natural interpretation: Strict: { minus minus x -> x, +(minus x, +(x, y)) -> y, +(+(x, y), minus y) -> x, minux +(x, y) -> +(minus y, minus x) } Weak: {} Interpretation class: stronglylinear [minux](X0) = + 1*X0 + 3 [+](X1, X0) = + 1*X0 + 1*X1 + 6 [minus](X0) = + 1*X0 + 1 Qed