Term Rewriting System R:
[x, y, z]
f(0, 1, x) -> f(x, x, x)
f(x, y, z) -> 2
0 -> 2
1 -> 2
g(x, x, y) -> y
g(x, y, y) -> x
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(0, 1, x) -> F(x, 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(x, x, x)
Rules:
f(0, 1, x) -> f(x, x, x)
f(x, y, z) -> 2
0 -> 2
1 -> 2
g(x, x, y) -> y
g(x, y, y) -> x
Termination of R could not be shown.
Duration:
0:20 minutes