Certificate for #26687 ⟨a, b | aa=1, babbbabb=b⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Axiom: babbbabb=b.

Referenced by [3], [4].

Overlap of [2] babbbabb=b with [2] babbbabb=b:

Critical pair: babbb=bbabb.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [3] bbabb=babbb with [3] bbabb=babbb:

Critical pair: bbababbb=babbbabb.

Reduce RHS:

Referenced by [5], [6].

Overlap of [3] bbabb=babbb with [4] bbababbb=b:

Critical pair: bbab=babbbababbb.

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [4] bbababbb=b with [5] bbab=babb:

Critical pair: babbabbb=b.

Reduce LHS:

Defines rule #3.