Certificate for #25628 ⟨a, b | ab=a, bbbaa=aaa⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbbaa=aaa

Axiom: bbbaa=aaa.

Defines rule #3.

Referenced by [3].

[3] aaaa=aaa

Overlap of [1] ab=a with [2] bbbaa=aaa:

a b bbbaa

Critical pair: aaaa=abbaa.

Reduce RHS:

[1](ab)baa
[1]⇒ (ab)aa
⇒ aaa

Defines rule #2.