YES Problem: minus(minus(x)) -> x minux(+(x,y)) -> +(minus(y),minus(x)) +(minus(x),+(x,y)) -> y +(+(x,y),minus(y)) -> x Proof: Bounds Processor: bound: 0 enrichment: roof automaton: final states: {8,2,1} transitions: minus0(1) -> 7*,4,3 minus0(8) -> 7* f30() -> 8*,4,3,2,1 +0(8,3) -> 2* +0(8,7) -> 2* +0(4,8) -> 2* +0(7,3) -> 2* +0(7,7) -> 2* +0(8,8) -> 2* +0(4,3) -> 2* +0(4,7) -> 2* +0(7,8) -> 2* 1 -> 2,3,4 problem: Qed