Certificate for #8903 ⟨a, b | aa=a, babbb=ab⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aa=a.

Defines rule #3.

Referenced by [3], [7].

Axiom: babbb=ab.

Referenced by [3], [4], [6], [7], [8].

Overlap of [2] babbb=ab with [2] babbb=ab:

Critical pair: babbab=ababbb.

Reduce RHS:

Referenced by [4], [5].

Overlap of [3] babbab=ab with [2] babbb=ab:

Critical pair: babab=abbb.

Referenced by [5].

Overlap of [3] babbab=ab with [3] babbab=ab:

Critical pair: babab=abbab.

Reduce LHS:

Flip LHS and RHS.

Referenced by [6].

Overlap of [5] abbab=abbb with [2] babbb=ab:

Critical pair: abab=abbbbb.

Referenced by [7].

Overlap of [6] abab=abbbbb with [2] babbb=ab:

Critical pair: aab=abbbbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [8].

Overlap of [2] babbb=ab with [7] abbbbbbb=ab:

Critical pair: bab=abbbbb.

Defines rule #2.