Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex24_Luc06_L)

The rewrite relation of the following TRS is considered.

f(X) f(c) (1)
c b (2)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by ttt2 @ termCOMP 2023)

1 Loop

The following loop proves nontermination.

t0 = f(X)
f(c)
= t1
where t1 = t0σ and σ = {X/c}