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