Certificate for #15565 ⟨a, b | aab=aa, ababa=a

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] ababa=a

Axiom: ababa=a.

Defines rule #3.

Referenced by [3].

[3] aaaa=aa

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

a ab ababa

Critical pair: aa=aaaba.

Reduce RHS:

[1]a(aab)a
aaaa

Flip LHS and RHS.

Defines rule #2.