MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 terms(N) -> cons(recip(sqr(N)),n__terms(n__s(N))) 0.08/0.18 sqr(0()) -> 0() 0.08/0.18 sqr(s(X)) -> s(add(sqr(X),dbl(X))) 0.08/0.18 dbl(0()) -> 0() 0.08/0.18 dbl(s(X)) -> s(s(dbl(X))) 0.08/0.18 add(0(),X) -> X 0.08/0.18 add(s(X),Y) -> s(add(X,Y)) 0.08/0.18 first(0(),X) -> nil() 0.08/0.18 first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) 0.08/0.18 half(0()) -> 0() 0.08/0.18 half(s(0())) -> 0() 0.08/0.18 half(s(s(X))) -> s(half(X)) 0.08/0.18 half(dbl(X)) -> X 0.08/0.18 terms(X) -> n__terms(X) 0.08/0.18 s(X) -> n__s(X) 0.08/0.18 first(X1,X2) -> n__first(X1,X2) 0.08/0.18 activate(n__terms(X)) -> terms(activate(X)) 0.08/0.18 activate(n__s(X)) -> s(activate(X)) 0.08/0.18 activate(n__first(X1,X2)) -> first(activate(X1),activate(X2)) 0.08/0.18 activate(X) -> X 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF