Certificate for #23314 ⟨a, b | aaa=1, babb=baba⟩

Completion settings:

• Auxiliary generators:
  1. c = ba
• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: aaa=1.

Defines rule #2.

Referenced by [6].

Axiom: babb=baba.

Referenced by [4].

Axiom: ba=c.

Defines rule #1.

Referenced by [4], [5], [6], [7].

Simplify [2] babb=baba.

Reduce RHS:

Referenced by [5].

Overlap of [4] babb=cc with [3] ba=c:

Critical pair: cbb=cc.

Defines rule #4.

Referenced by [7].

Overlap of [3] ba=c with [1] aaa=1:

Critical pair: b=caa.

Flip LHS and RHS.

Defines rule #3.

Referenced by [8].

Overlap of [5] cbb=cc with [3] ba=c:

Critical pair: cbc=cca.

Flip LHS and RHS.

Defines rule #5.

Referenced by [8].

Overlap of [7] cca=cbc with [6] caa=b:

Critical pair: cb=cbca.

Flip LHS and RHS.

Defines rule #6.