Certificate for #21788 ⟨a, b | aaa=1, bbbabbb=a⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #1.

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

Axiom: bbbabbb=a.

Referenced by [3], [6].

Overlap of [2] bbbabbb=a with [2] bbbabbb=a:

Critical pair: bbbaa=aabbb.

Referenced by [4].

Overlap of [3] bbbaa=aabbb with [1] aaa=1:

Critical pair: bbb=aabbba.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [1] aaa=1 with [4] aabbba=bbb:

Critical pair: abbb=bbba.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] aabbba=bbb with [2] bbbabbb=a:

Critical pair: aaa=bbbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.