Certificate for #16128 ⟨a, b | aab=aa, babb=bb⟩

Back:⟨a, b | aab=aa, babb=bb⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] babb=bb

Axiom: babb=bb.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=aa with [2] babb=bb:

aa b babb

Critical pair: aabb=aaabb.

Reduce LHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Reduce RHS:

[1]a(aab)b
[1]⇒ a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.