Certificate for #10008 ⟨a, b | aa=1, ababbb=bb⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

Axiom: ababbb=bb.

Referenced by [3], [5].

Overlap of [1] aa=1 with [2] ababbb=bb:

Critical pair: abb=babbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

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

Critical pair: babbabb=abbabbb.

Reduce RHS:

Defines rule #4.

Referenced by [5].

Overlap of [4] babbabb=ababb with [3] babbb=abb:

Critical pair: bababb=ababbb.

Reduce RHS:

Defines rule #3.