Certificate for #1987 ⟨a, b | aaa=a, aabb=b

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #2.

Referenced by [3].

[2] aabb=b

Axiom: aabb=b.

Referenced by [3], [4].

[3] aab=b

Overlap of [1] aaa=a with [2] aabb=b:

aa a aabb

Critical pair: aab=aabb.

Reduce RHS:

[2](aabb)
b

Defines rule #3.

Referenced by [4].

[4] bb=b

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

aabb aab

Critical pair: bb=b.

Defines rule #1.