Certificate for #14298 ⟨a, b | abba=b, aaabab=1⟩

Completion settings:

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

Axiom: abba=b.

Defines rule #2.

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

Axiom: aaabab=1.

Defines rule #6.

Referenced by [4].

Overlap of [1] abba=b with [1] abba=b:

Critical pair: abbb=bbba.

Flip LHS and RHS.

Defines rule #4.

Overlap of [2] aaabab=1 with [1] abba=b:

Critical pair: aaabb=ba.

Defines rule #5.

Referenced by [5], [6], [7].

Overlap of [4] aaabb=ba with [1] abba=b:

Critical pair: aab=baa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [6], [7].

Overlap of [5] baa=aab with [4] aaabb=ba:

Critical pair: bba=aababb.

Flip LHS and RHS.

Defines rule #7.

Overlap of [5] baa=aab with [4] aaabb=ba:

Critical pair: baba=aabaabb.

Reduce RHS:

Defines rule #3.