Certificate for #3333 ⟨a, b, c | ab=aa, bbc=a⟩

Back:⟨a, b, c | ab=aa, bbc=a⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbc=a

Axiom: bbc=a.

Defines rule #2.

Referenced by [3].

[3] aaac=aa

Overlap of [1] ab=aa with [2] bbc=a:

a b bbc

Critical pair: aa=aabc.

Reduce RHS:

[1]a(ab)c
⇒ aaac

Flip LHS and RHS.

Defines rule #3.