Certification Problem

Input (TPDB SRS_Relative/ICFP_2010_relative/139100)

The relative rewrite relation R/S is considered where R is the following TRS

and S is the following TRS.

Property / Task

Answer / Result

Proof (by AProVE @ termCOMP 2023)

1 String Reversal

1.1 Closure Under Flat Contexts

{2(☐), 3(☐), 1(☐), 0(☐)}

There are 122 ruless (increase limit for explicit display).

1.1.1 Semantic Labeling

Root-labeling is applied.

There are 488 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

There are 488 ruless (increase limit for explicit display).

1.1.1.1.1 R is empty

There are no rules in the TRS. Hence, it is terminating.