Certificate for #3523 ⟨a, b | aa=1, abbbb=bb

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #3.

Referenced by [3], [4].

[2] abbbb=bb

Axiom: abbbb=bb.

Referenced by [3].

[3] abb=bbbb

Overlap of [1] aa=1 with [2] abbbb=bb:

a a abbbb

Critical pair: abb=bbbb.

Defines rule #2.

Referenced by [4].

[4] bbbbbb=bb

Overlap of [1] aa=1 with [3] abb=bbbb:

a a abb

Critical pair: abbbb=bb.

Reduce LHS:

[3](abb)bb
bbbbbb

Defines rule #1.