Certificate for #19661 ⟨a, b | aba=a, aabbb=bb

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

[2] aabbb=bb

Axiom: aabbb=bb.

Referenced by [3], [4].

[3] abbb=bb

Overlap of [1] aba=a with [2] aabbb=bb:

ab a aabbb

Critical pair: abbb=aabbb.

Reduce RHS:

[2](aabbb)
bb

Referenced by [4], [5].

[4] abb=bb

Overlap of [2] aabbb=bb with [3] abbb=bb:

a abbb abbb

Critical pair: abb=bb.

Defines rule #2.

Referenced by [5].

[5] bbb=bb

Overlap of [3] abbb=bb with [4] abb=bb:

abbb abb

Critical pair: bbb=bb.

Defines rule #3.