Certificate for #10833 ⟨a, b | aaba=abb, bbbb=1⟩

Completion settings:

[1] aaba=abb

Axiom: aaba=abb.

Defines rule #1.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #2.

Referenced by [3].

[3] abbaba=a

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

aab a aaba

Critical pair: aababb=abbaba.

Reduce LHS:

[1](aaba)bb
[2]⇒ a(bbbb)
⇒ a

Flip LHS and RHS.

Defines rule #3.