Certificate for #5951 ⟨a, b, c | ab=a, cbc=aa⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cbc=aa

Axiom: cbc=aa.

Defines rule #3.

Referenced by [3].

[3] aac=cbaa

Overlap of [2] cbc=aa with [2] cbc=aa:

cb c cbc

Critical pair: cbaa=aabc.

Reduce RHS:

[1]a(ab)c
⇒ aac

Flip LHS and RHS.

Defines rule #2.