Certificate for #25602 ⟨a, b | ab=a, bbaaa=bba⟩

Back:⟨a, b | ab=a, bbaaa=bba⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbaaa=bba

Axiom: bbaaa=bba.

Defines rule #3.

Referenced by [3].

[3] aaaa=aa

Overlap of [1] ab=a with [2] bbaaa=bba:

a b bbaaa

Critical pair: abba=abaaa.

Reduce LHS:

[1](ab)ba
[1]⇒ (ab)a
⇒ aa

Reduce RHS:

[1](ab)aaa
⇒ aaaa

Flip LHS and RHS.

Defines rule #2.