Certificate for #2254 ⟨a, b | ab=aa, bba=ba⟩

Back:⟨a, b | ab=aa, bba=ba⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bba=ba

Axiom: bba=ba.

Defines rule #2.

Referenced by [3].

[3] aaaa=aaa

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

a b bba

Critical pair: aba=aaba.

Reduce LHS:

[1](ab)a
⇒ aaa

Reduce RHS:

[1]a(ab)a
⇒ aaaa

Flip LHS and RHS.

Defines rule #3.