Certification Problem

Input (TPDB SRS_Relative/ICFP_2010_relative/3856)

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

{1(☐), 0(☐), 4(☐), 2(☐), 5(☐), 3(☐)}

There are 180 ruless (increase limit for explicit display).

1.1.1 Semantic Labeling

Root-labeling is applied.

There are 1080 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

There are 916 ruless (increase limit for explicit display).

1.1.1.1.1 Rule Removal

There are 138 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.