Certificate for #25723 ⟨a, b | aa=a, bbbb=abbb⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] bbbb=abbb

Axiom: bbbb=abbb.

Defines rule #2.

Referenced by [3].

[3] babbb=abbb

Overlap of [2] bbbb=abbb with [2] bbbb=abbb:

b bbb bbbb

Critical pair: babbb=abbbb.

Reduce RHS:

[2]a(bbbb)
[1]⇒ (aa)bbb
⇒ abbb

Defines rule #3.