Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex14_AEGL02_L)

The rewrite relation of the following TRS is considered.

from(X) cons(X) (1)
length 0 (2)
length s(length1) (3)
length1 length (4)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by ttt2 @ termCOMP 2023)

1 Loop

The following loop proves nontermination.

t0 = length
s(length1)
s(length)
= t2
where t2 = C[t0] and C = s()