Certification Problem

Input (TPDB SRS_Standard/Waldmann_19/random-404)

The rewrite relation of the following TRS is considered.

Property / Task

Answer / Result

Proof (by matchbox @ termCOMP 2023)

1 Split

We split R in the relative problem D/R-D and R-D, where the rules D

1.1 Closure Under Flat Contexts

{b(☐), a(☐)}

1.1.1 Closure Under Flat Contexts

{b(☐), a(☐)}

1.1.1.1 Semantic Labeling

As carrier we take the set {0,...,3}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 4):

1.1.1.1.1 Rule Removal

1.1.1.1.1.1 R is empty

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

1.2 Closure Under Flat Contexts

{b(☐), a(☐)}

1.2.1 Semantic Labeling

As carrier we take the set {0,1}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 2):

1.2.1.1 String Reversal

1.2.1.1.1 Rule Removal

1.2.1.1.1.1 String Reversal

There are no rules.

1.2.1.1.1.1.1 R is empty

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