Certificate for #13120 ⟨a, b | aab=aaa, aba=aa⟩

Back:⟨a, b | aab=aaa, aba=aa⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] aba=aa

Axiom: aba=aa.

Defines rule #2.

Referenced by [3].

[3] aaaa=aaa

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

ab a aba

Critical pair: abaa=aaba.

Reduce LHS:

[2](aba)a
⇒ aaa

Reduce RHS:

[1](aab)a
⇒ aaaa

Flip LHS and RHS.

Defines rule #3.