Certificate for #15970 ⟨a, b | aaa=aa, abbb=bb

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #1.

Referenced by [3].

[2] abbb=bb

Axiom: abbb=bb.

Referenced by [3], [4], [5].

[3] aabb=abb

Overlap of [1] aaa=aa with [2] abbb=bb:

aa a abbb

Critical pair: aabb=aabbb.

Reduce RHS:

[2]a(abbb)
abb

Referenced by [4].

[4] abb=bb

Overlap of [3] aabb=abb with [2] abbb=bb:

a abb abbb

Critical pair: abb=abbb.

Reduce RHS:

[2](abbb)
bb

Defines rule #2.

Referenced by [5].

[5] bbb=bb

Overlap of [2] abbb=bb with [4] abb=bb:

abbb abb

Critical pair: bbb=bb.

Defines rule #3.