MAYBE Problem: times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z))) times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) Proof: DP Processor: DPs: times#(x,plus(y,s(z))) -> times#(x,s(z)) times#(x,plus(y,s(z))) -> times#(s(z),0()) times#(x,plus(y,s(z))) -> plus#(y,times(s(z),0())) times#(x,plus(y,s(z))) -> times#(x,plus(y,times(s(z),0()))) times#(x,plus(y,s(z))) -> plus#(times(x,plus(y,times(s(z),0()))),times(x,s(z))) times#(x,s(y)) -> times#(x,y) times#(x,s(y)) -> plus#(times(x,y),x) plus#(x,s(y)) -> plus#(x,y) TRS: times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z))) times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) Open