Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/140664)

The rewrite relation of the following TRS is considered.

Property / Task

Answer / Result

Proof (by matchbox @ termCOMP 2023)

1 Closure Under Flat Contexts

{2(☐), 1(☐), 0(☐)}

There are 213 ruless (increase limit for explicit display).

1.1 Closure Under Flat Contexts

{2(☐), 1(☐), 0(☐)}

There are 639 ruless (increase limit for explicit display).

1.1.1 Semantic Labeling

As carrier we take the set {0,...,8}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 9):

There are 5751 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

There are 5751 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.