Term Rewriting System R:
[x, y]
gcd(x, 0) -> x
gcd(0, y) -> y
gcd(s(x), s(y)) -> if((x, y), gcd(s(x), -(y, x)), gcd(-(x, y), s(y)))

Termination of R to be shown.

Dependency Pair Analysis

R contains the following Dependency Pairs:

GCD(s(x), s(y)) -> GCD(s(x), -(y, x))
GCD(s(x), s(y)) -> GCD(-(x, y), s(y))

R contains no SCCs.

Termination of R successfully shown.
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