Certificate for #12445 ⟨a, b | aabb=aa, babb=b⟩

Back:⟨a, b | aabb=aa, babb=b⟩

Completion settings:

[1] aabb=aa

Axiom: aabb=aa.

Defines rule #2.

Referenced by [3].

[2] babb=b

Axiom: babb=b.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aabb=aa with [2] babb=b:

aab b babb

Critical pair: aabb=aaabb.

Reduce LHS:

[1](aabb)
⇒ aa

Reduce RHS:

[1]a(aabb)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.