Problem:
from(X) -> cons(X,from(s(X)))
2ndspos(0(),Z) -> rnil()
2ndspos(s(N),cons(X,Z)) -> 2ndspos(s(N),cons2(X,Z))
2ndspos(s(N),cons2(X,cons(Y,Z))) -> rcons(posrecip(Y),2ndsneg(N,Z))
2ndsneg(0(),Z) -> rnil()
2ndsneg(s(N),cons(X,Z)) -> 2ndsneg(s(N),cons2(X,Z))
2ndsneg(s(N),cons2(X,cons(Y,Z))) -> rcons(negrecip(Y),2ndspos(N,Z))
pi(X) -> 2ndspos(X,from(0()))
plus(0(),Y) -> Y
plus(s(X),Y) -> s(plus(X,Y))
times(0(),Y) -> 0()
times(s(X),Y) -> plus(Y,times(X,Y))
square(X) -> times(X,X)
Proof:
Containment Processor: loop length: 1
terms:
from(X)
context: cons(X,[])
substitution:
X -> s(X)
Qed