Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex23_Luc06_Z)

The rewrite relation of the following TRS is considered.

f(f(a)) c(n__f(g(f(a)))) (1)
f(X) n__f(X) (2)
activate(n__f(X)) f(X) (3)
activate(X) X (4)

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.
activate#(n__f(X)) f#(X) (5)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.