Certification Problem

Input (TPDB TRS_Standard/Rubio_04/mfp95)

The rewrite relation of the following TRS is considered.

f(s(X),Y) h(s(f(h(Y),X))) (1)

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#(s(X),Y) f#(h(Y),X) (2)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.