Certificate for #13200 ⟨a, b | abb=aab, bab=ba⟩

Back:⟨a, b | abb=aab, bab=ba⟩

Completion settings:

[1] abb=aab

Axiom: abb=aab.

Defines rule #1.

Referenced by [4].

[2] bab=ba

Axiom: bab=ba.

Defines rule #3.

Referenced by [3], [4].

[3] baab=baa

Overlap of [2] bab=ba with [2] bab=ba:

ba b bab

Critical pair: baba=baab.

Reduce LHS:

[2](bab)a
⇒ baa

Flip LHS and RHS.

Referenced by [4].

[4] baa=ba

Overlap of [2] bab=ba with [1] abb=aab:

b ab abb

Critical pair: baab=bab.

Reduce LHS:

[3](baab)
⇒ baa

Reduce RHS:

[2](bab)
⇒ ba

Defines rule #2.