Certificate for #3516 ⟨a, b, c | bb=ac, aca=a⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [2], [3].

[2] bba=a

Axiom: aca=a.

Reduce LHS:

[1](ac)a
⇒ bba

Defines rule #2.

Referenced by [3].

[3] bbbb=bb

Overlap of [2] bba=a with [1] ac=bb:

bb a ac

Critical pair: bbbb=ac.

Reduce RHS:

[1](ac)
⇒ bb

Defines rule #3.