Certificate for #4147 ⟨a, b | aba=aab, bba=b⟩

Back:⟨a, b | aba=aab, bba=b⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[2] bba=b

Axiom: bba=b.

Defines rule #1.

Referenced by [3].

[3] bab=b

Overlap of [2] bba=b with [1] aab=aba:

bb a aab

Critical pair: bbaba=bab.

Reduce LHS:

[2](bba)ba
[2]⇒ (bba)
⇒ b

Flip LHS and RHS.

Defines rule #2.