Certificate for #16280 ⟨a, b | aab=bb, aaab=bb⟩

Back:⟨a, b | aab=bb, aaab=bb⟩

Completion settings:

[1] aab=bb

Axiom: aab=bb.

Defines rule #1.

Referenced by [2], [3].

[2] abb=bb

Axiom: aaab=bb.

Reduce LHS:

[1]a(aab)
⇒ abb

Defines rule #2.

Referenced by [3].

[3] bbb=bb

Overlap of [1] aab=bb with [2] abb=bb:

a ab abb

Critical pair: abb=bbb.

Reduce LHS:

[2](abb)
⇒ bb

Flip LHS and RHS.

Defines rule #3.