Certificate for #4143 ⟨a, b | aba=aab, baa=b⟩

Back:⟨a, b | aba=aab, baa=b⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[2] baa=b

Axiom: baa=b.

Defines rule #2.

Referenced by [3].

[3] bab=bba

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

ba a aab

Critical pair: baaba=bab.

Reduce LHS:

[2](baa)ba
⇒ bba

Flip LHS and RHS.

Defines rule #1.