Certificate for #1193 ⟨a, b | aa=1, abbb=bb⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abbb=bb

Axiom: abbb=bb.

Referenced by [3], [4].

[3] bbb=abb

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

a a abbb

Critical pair: abb=bbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] babb=bb

Overlap of [3] bbb=abb with [3] bbb=abb:

b bb bbb

Critical pair: babb=abbb.

Reduce RHS:

[2](abbb)
⇒ bb

Defines rule #3.