Certificate for #3337 ⟨a, b, c | ab=aa, bca=b⟩

Back:⟨a, b, c | ab=aa, bca=b⟩

Completion settings:

[1] aa=ab

Axiom: ab=aa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bca=b

Axiom: bca=b.

Defines rule #3.

Referenced by [3].

[3] ba=bb

Overlap of [2] bca=b with [1] aa=ab:

bc a aa

Critical pair: bcab=ba.

Reduce LHS:

[2](bca)b
⇒ bb

Flip LHS and RHS.

Defines rule #1.