Certificate for #12951 ⟨a, b | aba=aab, baab=b⟩

Back:⟨a, b | aba=aab, baab=b⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] baba=b

Axiom: baab=b.

Reduce LHS:

[1]b(aab)
⇒ baba

Referenced by [3], [4].

[3] bab=bba

Overlap of [2] baba=b with [2] baba=b:

ba ba baba

Critical pair: bab=bba.

Defines rule #1.

Referenced by [4].

[4] bbaa=b

Overlap of [2] baba=b with [3] bab=bba:

baba bab

Critical pair: bbaa=b.

Defines rule #3.