Term Rewriting System R:
[x, y]
f(g(x), g(y)) -> f(p(f(g(x), s(y))), g(s(p(x))))
p(0) -> g(0)
g(s(p(x))) -> p(x)
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(g(x), g(y)) -> F(p(f(g(x), s(y))), g(s(p(x))))
F(g(x), g(y)) -> P(f(g(x), s(y)))
F(g(x), g(y)) -> F(g(x), s(y))
F(g(x), g(y)) -> G(s(p(x)))
F(g(x), g(y)) -> P(x)
P(0) -> G(0)
R contains no SCCs.
Termination of R successfully shown.
Duration:
0:00 minutes