Certificate for #12944 ⟨a, b | aba=aab, abba=a⟩

Back:⟨a, b | aba=aab, abba=a⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] abba=a

Axiom: abba=a.

Defines rule #2.

Referenced by [3].

[3] ababa=aa

Overlap of [1] aab=aba with [2] abba=a:

a ab abba

Critical pair: aa=ababa.

Flip LHS and RHS.

Defines rule #3.