Certification Problem

Input (TPDB TRS_Standard/SK90/4.56)

The rewrite relation of the following TRS is considered.

f(a,b) f(a,c) (1)
f(c,d) f(b,d) (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.
f#(a,b) f#(a,c) (3)
f#(c,d) f#(b,d) (4)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.