Certificate for #13225 ⟨a, b | baa=aab, bba=aa⟩

Back:⟨a, b | baa=aab, bba=aa⟩

Completion settings:

[1] aab=baa

Axiom: baa=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bba=aa

Axiom: bba=aa.

Defines rule #1.

Referenced by [3].

[3] abaa=baaa

Overlap of [2] bba=aa with [1] aab=baa:

bb a aab

Critical pair: bbbaa=aaab.

Reduce LHS:

[2]b(bba)a
⇒ baaa

Reduce RHS:

[1]a(aab)
⇒ abaa

Flip LHS and RHS.

Defines rule #3.