Certificate for #5365 ⟨a, b | aab=aa, bab=aa⟩

Back:⟨a, b | aab=aa, bab=aa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Referenced by [3].

[2] aa=bab

Axiom: bab=aa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4], [5].

[3] aab=bab

Simplify [1] aab=aa.

Reduce RHS:

[2](aa)
⇒ bab

Referenced by [4].

[4] babb=bab

Overlap of [3] aab=bab with [2] aa=bab:

aab aa

Critical pair: babb=bab.

Defines rule #1.

[5] baba=abab

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

a a aa

Critical pair: abab=baba.

Flip LHS and RHS.

Defines rule #3.