Term Rewriting System R:
[X]
f(a, b, X) -> f(X, X, X)
c -> a
c -> b
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(a, b, X) -> F(X, X, X)
Furthermore, R contains one SCC.
R
↳DPs
→DP Problem 1
↳Non Termination
Dependency Pair:
F(a, b, X) -> F(X, X, X)
Rules:
f(a, b, X) -> f(X, X, X)
c -> a
c -> b
Found an infinite P-chain over R:
P =
F(a, b, X) -> F(X, X, X)
R =
f(a, b, X) -> f(X, X, X)
c -> a
c -> b
s = F(c, c, c)
evaluates to t =F(c, c, c)
Thus, s starts an infinite chain.
Non-Termination of R could be shown.
Duration:
0:00 minutes