Certificate for #998 ⟨a, b | ab=a, aab=ba

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [2], [3].

[2] ba=aa

Axiom: aab=ba.

Reduce LHS:

[1]a(ab)
aa

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaa=aa

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

a b ba

Critical pair: aaa=aa.

Defines rule #3.