Certificate for #19619 ⟨a, b | aab=b, bbbaa=bb

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

[2] bbbaa=bb

Axiom: bbbaa=bb.

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

[3] bbbb=bbb

Overlap of [2] bbbaa=bb with [1] aab=b:

bbb aa aab

Critical pair: bbbb=bbb.

Referenced by [4].

[4] bbb=bb

Overlap of [3] bbbb=bbb with [2] bbbaa=bb:

b bbb bbbaa

Critical pair: bbb=bbbaa.

Reduce RHS:

[2](bbbaa)
bb

Defines rule #2.

Referenced by [5].

[5] bbaa=bb

Overlap of [2] bbbaa=bb with [4] bbb=bb:

bbbaa bbb

Critical pair: bbaa=bb.

Defines rule #3.