Certificate for #25911 ⟨a, b | ab=a, bbbb=bbba

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

[2] bbbb=bbba

Axiom: bbbb=bbba.

Defines rule #3.

Referenced by [3].

[3] aa=a

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

a b bbbb

Critical pair: abbba=abbb.

Reduce LHS:

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

Reduce RHS:

[1](ab)bb
[1](ab)b
[1](ab)
a

Defines rule #1.