Certificate for #11041 ⟨a, b | abba=abb, bbbb=1⟩

Back:⟨a, b | abba=abb, bbbb=1⟩

Completion settings:

[1] abba=abb

Axiom: abba=abb.

Defines rule #2.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #3.

Referenced by [3].

[3] aa=a

Overlap of [1] abba=abb with [1] abba=abb:

abb a abba

Critical pair: abbabb=abbbba.

Reduce LHS:

[1](abba)bb
[2]⇒ a(bbbb)
⇒ a

Reduce RHS:

[2]a(bbbb)a
⇒ aa

Flip LHS and RHS.

Defines rule #1.