Certification Problem

Input (TPDB TRS_Standard/Strategy_removed_AG01/#4.20)

The rewrite relation of the following TRS is considered.

f(f(x)) f(x) (1)
g(0) g(f(0)) (2)

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.
g#(0) f#(0) (3)
g#(0) g#(f(0)) (4)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.