Certification Problem
Input (TPDB TRS_Outermost/Strategy_outermost_added_08/Ex4_4_Luc96b)
The rewrite relation of the following TRS is considered.
|
f(g(X),Y) |
→ |
f(X,f(g(X),Y)) |
(1) |
The evaluation strategy is outermostProperty / Task
Prove or disprove termination.Answer / Result
No.Proof (by AProVE @ termCOMP 2023)
1 Loop
The following loop proves nontermination.
| t0
|
= |
f(g(X),Y) |
|
→
|
f(X,f(g(X),Y)) |
|
= |
t1
|
where t1 =
C[t0]
and
C = f(X,☐)