Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex25_Luc06_L)

The rewrite relation of the following TRS is considered.

f(f(X)) c (1)
c d (2)
h(X) c (3)

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by NaTT @ termCOMP 2023)

1 Dependency Pair Transformation

The following set of initial dependency pairs has been identified.
f#(f(X)) c# (4)
h#(X) c# (5)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.