Certificate for #964 ⟨a, b | aa=a, abb=ba⟩

Back:⟨a, b | aa=a, abb=ba⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #3.

Referenced by [3].

[2] ba=abb

Axiom: abb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] abbbb=abb

Overlap of [2] ba=abb with [1] aa=a:

b a aa

Critical pair: ba=abba.

Reduce LHS:

[2](ba)
⇒ abb

Reduce RHS:

[2]ab(ba)
[2]⇒ a(ba)bb
[1]⇒ (aa)bbbb
⇒ abbbb

Flip LHS and RHS.

Defines rule #1.