Certificate for #4658 ⟨a, b | aaab=a, abba=b⟩

Completion settings:

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

Axiom: aaab=a.

Defines rule #2.

Referenced by [3], [7].

Axiom: abba=b.

Referenced by [3], [4], [5], [6].

Overlap of [2] abba=b with [1] aaab=a:

Critical pair: abba=baab.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] abba=b with [3] baab=b:

Critical pair: abb=bab.

Flip LHS and RHS.

Referenced by [5].

Overlap of [3] baab=b with [2] abba=b:

Critical pair: bab=bba.

Reduce LHS:

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [2] abba=b with [5] bba=abb:

Critical pair: aabb=b.

Defines rule #3.

Referenced by [7].

Overlap of [6] aabb=b with [5] bba=abb:

Critical pair: aaabb=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.