Certificate for #25648 ⟨a, b | ab=a, bbbba=baa⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbbba=baa

Axiom: bbbba=baa.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] ab=a with [2] bbbba=baa:

a b bbbba

Critical pair: abaa=abbba.

Reduce LHS:

[1](ab)aa
⇒ aaa

Reduce RHS:

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

Defines rule #2.