Certificate for #8876 ⟨a, b | aa=a, ababa=bb⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aa=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: ababa=bb.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] aa=a with [2] ababa=bb:

Critical pair: abb=ababa.

Reduce RHS:

Defines rule #2.

Overlap of [2] ababa=bb with [1] aa=a:

Critical pair: ababa=bba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.