Certification Problem

Input (TPDB SRS_Relative/ICFP_2010_relative/4181)

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

{0(☐), 1(☐), 4(☐), 2(☐), 3(☐), 5(☐)}

There are 225 ruless (increase limit for explicit display).

1.1.1 Semantic Labeling

Root-labeling is applied.

There are 1350 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

There are 1210 ruless (increase limit for explicit display).

1.1.1.1.1 Rule Removal

There are 119 ruless (increase limit for explicit display).

1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1.1.1 R is empty

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