Term Rewriting System R:
[x, y, z]
f(0, 1, x) -> f(x, x, x)
f(x, y, z) -> 2
0 -> 2
1 -> 2
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
↳Forward Instantiation Transformation
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
On this DP problem, a Forward Instantiation SCC transformation can be performed.
As a result of transforming the rule
F(0, 1, x) -> F(x, x, x)
no new Dependency Pairs
are created.
The transformation is resulting in no new DP problems.
Termination of R successfully shown.
Duration:
0:00 minutes