Certificate for #19283 ⟨a, b | aaa=a, abbbb=bb

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

[2] abbbb=bb

Axiom: abbbb=bb.

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

[3] aabb=bb

Overlap of [1] aaa=a with [2] abbbb=bb:

aa a abbbb

Critical pair: aabb=abbbb.

Reduce RHS:

[2](abbbb)
bb

Referenced by [4].

[4] abb=bbbb

Overlap of [3] aabb=bb with [2] abbbb=bb:

a abb abbbb

Critical pair: abb=bbbb.

Defines rule #2.

Referenced by [5].

[5] bbbbbb=bb

Overlap of [2] abbbb=bb with [4] abb=bbbb:

abbbb abb

Critical pair: bbbbbb=bb.

Defines rule #1.