Certificate for #12153 ⟨a, b | aaaa=aa, aabb=b

Completion settings:

[1] aaaa=aa

Axiom: aaaa=aa.

Defines rule #3.

Referenced by [3].

[2] aabb=b

Axiom: aabb=b.

Referenced by [3], [4].

[3] aab=b

Overlap of [1] aaaa=aa with [2] aabb=b:

aa aa aabb

Critical pair: aab=aabb.

Reduce RHS:

[2](aabb)
b

Defines rule #2.

Referenced by [4].

[4] bb=b

Overlap of [2] aabb=b with [3] aab=b:

aabb aab

Critical pair: bb=b.

Defines rule #1.