Certification Problem

Input (TPDB TRS_Standard/HirokawaMiddeldorp_04/t007)

The rewrite relation of the following TRS is considered.

f(a) f(b) (1)
g(b) g(a) (2)
f(x) g(x) (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#(x) g#(x) (4)
f#(a) f#(b) (5)
g#(b) g#(a) (6)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.