Certificate for #13152 ⟨a, b | aba=aaa, bab=aa⟩

Back:⟨a, b | aba=aaa, bab=aa⟩

Completion settings:

[1] aaa=aba

Axiom: aba=aaa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[2] bab=aa

Axiom: bab=aa.

Defines rule #1.

Referenced by [4].

[3] aaba=abaa

Overlap of [1] aaa=aba with [1] aaa=aba:

a aa aaa

Critical pair: aaba=abaa.

Defines rule #3.

Referenced by [4].

[4] abaab=abaa

Overlap of [3] aaba=abaa with [2] bab=aa:

aa ba bab

Critical pair: aaaa=abaab.

Reduce LHS:

[1](aaa)a
⇒ abaa

Flip LHS and RHS.

Defines rule #4.