Certificate for #20842 ⟨a, b | ab=aa, bbbba=ba⟩

Back:⟨a, b | ab=aa, bbbba=ba⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbbba=ba

Axiom: bbbba=ba.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaa

Overlap of [1] ab=aa with [2] bbbba=ba:

a b bbbba

Critical pair: aba=aabbba.

Reduce LHS:

[1](ab)a
⇒ aaa

Reduce RHS:

[1]a(ab)bba
[1]⇒ aa(ab)ba
[1]⇒ aaa(ab)a
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #3.