Term Rewriting System R:
[x, y]
f(g(x), x, y) -> f(y, y, g(y))
g(g(x)) -> g(x)
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(g(x), x, y) -> F(y, y, g(y))
F(g(x), x, y) -> G(y)
Furthermore, R contains one SCC.
R
↳DPs
→DP Problem 1
↳Remaining Obligation(s)
The following remains to be proven:
Dependency Pair:
F(g(x), x, y) -> F(y, y, g(y))
Rules:
f(g(x), x, y) -> f(y, y, g(y))
g(g(x)) -> g(x)
Termination of R could not be shown.
Duration:
0:00 minutes