Certificate for #15640 ⟨a, b | aab=ab, abbbb=b

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] abbbb=b

Axiom: abbbb=b.

Referenced by [3], [4].

[3] ab=b

Overlap of [1] aab=ab with [2] abbbb=b:

a ab abbbb

Critical pair: ab=abbbb.

Reduce RHS:

[2](abbbb)
b

Defines rule #1.

Referenced by [4].

[4] bbbb=b

Overlap of [2] abbbb=b with [3] ab=b:

abbbb ab

Critical pair: bbbb=b.

Defines rule #2.