Certificate for #10872 ⟨a, b | aaba=bba, bbbb=1⟩

Completion settings:

[1] aaba=bba

Axiom: aaba=bba.

Defines rule #1.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #2.

Referenced by [3].

[3] aabbba=a

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

aab a aaba

Critical pair: aabbba=bbaaba.

Reduce RHS:

[1]bb(aaba)
[2](bbbb)a
a

Defines rule #3.