Certificate for #15567 ⟨a, b | aab=aa, ababb=a

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] ababb=a

Axiom: ababb=a.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=aa with [2] ababb=a:

a ab ababb

Critical pair: aa=aaabb.

Reduce RHS:

[1]a(aab)b
[1]a(aab)
aaa

Flip LHS and RHS.

Defines rule #1.