Certificate for #332 ⟨a, b | aa=1, abbb=b

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #3.

Referenced by [3], [4].

[2] abbb=b

Axiom: abbb=b.

Referenced by [3].

[3] ab=bbb

Overlap of [1] aa=1 with [2] abbb=b:

a a abbb

Critical pair: ab=bbb.

Defines rule #2.

Referenced by [4].

[4] bbbbb=b

Overlap of [1] aa=1 with [3] ab=bbb:

a a ab

Critical pair: abbb=b.

Reduce LHS:

[3](ab)bb
bbbbb

Defines rule #1.