Certificate for #3334 ⟨a, b, c | ab=aa, bbc=b⟩

Back:⟨a, b, c | ab=aa, bbc=b⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbc=b

Axiom: bbc=b.

Defines rule #2.

Referenced by [3].

[3] aaac=aa

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

a b bbc

Critical pair: ab=aabc.

Reduce LHS:

[1](ab)
⇒ aa

Reduce RHS:

[1]a(ab)c
⇒ aaac

Flip LHS and RHS.

Defines rule #3.