Certificate for #3554 ⟨a, b, c | ab=aa, ca=bb⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] ca=bb

Axiom: ca=bb.

Defines rule #2.

Referenced by [3].

[3] bbb=bba

Overlap of [2] ca=bb with [1] ab=aa:

c a ab

Critical pair: caa=bbb.

Reduce LHS:

[2](ca)a
⇒ bba

Flip LHS and RHS.

Defines rule #3.