Certificate for #25891 ⟨a, b | ab=a, bbba=baaa⟩

Back:⟨a, b | ab=a, bbba=baaa⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbba=baaa

Axiom: bbba=baaa.

Defines rule #3.

Referenced by [3].

[3] aaaa=aa

Overlap of [1] ab=a with [2] bbba=baaa:

a b bbba

Critical pair: abaaa=abba.

Reduce LHS:

[1](ab)aaa
⇒ aaaa

Reduce RHS:

[1](ab)ba
[1]⇒ (ab)a
⇒ aa

Defines rule #2.