Certificate for #3018 ⟨a, b | aa=a, abab=bb⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

Axiom: abab=bb.

Defines rule #3.

Referenced by [3], [4].

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

Critical pair: abb=abab.

Reduce RHS:

Defines rule #2.

Referenced by [4].

Overlap of [2] abab=bb with [2] abab=bb:

Critical pair: abbb=bbab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.