Certificate for #1524 ⟨a, b | aab=bb, aaaa=1⟩

Completion settings:

[1] aab=bb

Axiom: aab=bb.

Defines rule #1.

Referenced by [3].

[2] aaaa=1

Axiom: aaaa=1.

Defines rule #3.

Referenced by [3].

[3] bbb=b

Overlap of [2] aaaa=1 with [1] aab=bb:

aa aa aab

Critical pair: aabb=b.

Reduce LHS:

[1](aab)b
bbb

Defines rule #2.