Certificate for #7781 ⟨a, b | aaa=1, aabbb=bb⟩

Back:⟨a, b | aaa=1, aabbb=bb⟩

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #2.

Referenced by [3].

[2] aabbb=bb

Axiom: aabbb=bb.

Referenced by [3], [4].

[3] abb=bbb

Overlap of [1] aaa=1 with [2] aabbb=bb:

a aa aabbb

Critical pair: abb=bbb.

Defines rule #1.

Referenced by [4].

[4] bbbbb=bb

Overlap of [2] aabbb=bb with [3] abb=bbb:

a abbb abb

Critical pair: abbbb=bb.

Reduce LHS:

[3](abb)bb
⇒ bbbbb

Defines rule #3.