MAYBE Problem: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) Proof: DP Processor: DPs: app#(cons(x,xs),ys) -> app#(xs,ys) rev#(cons(x,xs)) -> rev#(cons(x,nil())) TRS: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) TDG Processor: DPs: app#(cons(x,xs),ys) -> app#(xs,ys) rev#(cons(x,xs)) -> rev#(cons(x,nil())) TRS: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) graph: rev#(cons(x,xs)) -> rev#(cons(x,nil())) -> rev#(cons(x,xs)) -> rev#(cons(x,nil())) app#(cons(x,xs),ys) -> app#(xs,ys) -> app#(cons(x,xs),ys) -> app#(xs,ys) SCC Processor: #sccs: 2 #rules: 2 #arcs: 2/4 DPs: app#(cons(x,xs),ys) -> app#(xs,ys) TRS: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) Subterm Criterion Processor: simple projection: pi(app#) = 0 problem: DPs: TRS: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) Qed DPs: rev#(cons(x,xs)) -> rev#(cons(x,nil())) TRS: app(nil(),xs) -> nil() app(cons(x,xs),ys) -> cons(x,app(xs,ys)) rev(nil()) -> nil() rev(cons(x,xs)) -> append(xs,rev(cons(x,nil()))) Open