Certificate for #9359 ⟨a, b | ab=a, bbaa=bbb⟩

Back:⟨a, b | ab=a, bbaa=bbb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

[2] bbb=bbaa

Axiom: bbaa=bbb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaa=a

Overlap of [1] ab=a with [2] bbb=bbaa:

a b bbb

Critical pair: abbaa=abb.

Reduce LHS:

[1](ab)baa
[1]⇒ (ab)aa
⇒ aaa

Reduce RHS:

[1](ab)b
[1]⇒ (ab)
⇒ a

Defines rule #1.