Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/212774)

The rewrite relation of the following TRS is considered.

Property / Task

Answer / Result

Proof (by matchbox @ termCOMP 2023)

1 Closure Under Flat Contexts

{5(☐), 4(☐), 3(☐), 2(☐), 1(☐), 0(☐)}

There are 282 ruless (increase limit for explicit display).

1.1 Semantic Labeling

As carrier we take the set {0,...,5}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 6):

There are 1692 ruless (increase limit for explicit display).

1.1.1 Rule Removal

There are 1632 ruless (increase limit for explicit display).

1.1.1.1 String Reversal

1.1.1.1.1 Dependency Pair Transformation

There are 186 ruless (increase limit for explicit display).

1.1.1.1.1.1 Monotonic Reduction Pair Processor with Usable Rules

There are 150 ruless (increase limit for explicit display).

1.1.1.1.1.1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.