Certificate for #24686 ⟨a, b | aa=a, abbbbb=ba⟩

Back:⟨a, b | aa=a, abbbbb=ba⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #3.

Referenced by [3].

[2] ba=abbbbb

Axiom: abbbbb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] abbbbbbbbbbbbbbbbbbbbbbbbb=abbbbb

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

b a aa

Critical pair: ba=abbbbba.

Reduce LHS:

[2](ba)
⇒ abbbbb

Reduce RHS:

[2]abbbb(ba)
[2]⇒ abbb(ba)bbbbb
[2]⇒ abb(ba)bbbbbbbbbb
[2]⇒ ab(ba)bbbbbbbbbbbbbbb
[2]⇒ a(ba)bbbbbbbbbbbbbbbbbbbb
[1]⇒ (aa)bbbbbbbbbbbbbbbbbbbbbbbbb
⇒ abbbbbbbbbbbbbbbbbbbbbbbbb

Flip LHS and RHS.

Defines rule #1.