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