Certification Problem
Input (TPDB TRS_Standard/Transformed_CSR_04/PALINDROME_nosorts_L)
The rewrite relation of the following TRS is considered.
and(tt) |
→ |
X |
(1) |
__(__(X,Y),Z) |
→ |
__(X,__(Y,Z)) |
(2) |
__(X,nil) |
→ |
X |
(3) |
__(nil,X) |
→ |
X |
(4) |
isNePal(__(I,__(P,I))) |
→ |
tt |
(5) |
Property / Task
Prove or disprove termination.Answer / Result
No.Proof (by ttt2 @ termCOMP 2023)
1 Loop
The following loop proves nontermination.
t0
|
= |
and(tt) |
|
→
|
and(tt) |
|
= |
t1
|
where t1 =
t0σ
and
σ =
{X/and(tt)}