Certificate for #13138 ⟨a, b | aab=aaa, bba=ba⟩

Back:⟨a, b | aab=aaa, bba=ba⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bba=ba

Axiom: bba=ba.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aaaa

Overlap of [1] aab=aaa with [2] bba=ba:

aa b bba

Critical pair: aaba=aaaba.

Reduce LHS:

[1](aab)a
⇒ aaaa

Reduce RHS:

[1]a(aab)a
⇒ aaaaa

Flip LHS and RHS.

Defines rule #3.