Problem: +(0(),x) -> x +(1(),-(1())) -> 0() -(0()) -> 0() -(-(x)) -> x -(+(x,y)) -> +(-(x),-(y)) +(+(x,y),z) -> +(x,+(y,z)) +(x,y) -> +(y,x) Proof: Church Rosser Transformation Processor (ac): f5_AC(0(),x) -> x f5_AC(1(),-(1())) -> 0() -(0()) -> 0() -(-(x)) -> x -(f5_AC(x,y)) -> f5_AC(-(x),-(y)) AC critical peaks: joinable AC-RPO Processor: precedence: - > f5_AC > 1 > 0 status: problem: Qed