Certification Problem

Input (TPDB TRS_Outermost/Strategy_outermost_added_08/Ex24_GM04_L)

The rewrite relation of the following TRS is considered.

f f (1)
g(b) c (2)
b c (3)
The evaluation strategy is outermost

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Loop

The following loop proves nontermination.

t0 = f
f
= t1
where t1 = t0