/home/nowonder/forschung/aprove/TPDB05/TRS/nontermin/CSR/ExAppendixB_AEL03.trs

The program

(VAR N X Y Z)

(RULES 
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)
)

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