Certificate for #458 ⟨a, b | aaaa=1, abbb=1⟩

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Referenced by [3].

[2] abbb=1

Axiom: abbb=1.

Referenced by [3], [4], [5], [6].

[3] aaa=bbb

Overlap of [1] aaaa=1 with [2] abbb=1:

aaa a abbb

Critical pair: aaa=bbb.

Referenced by [4].

[4] aa=bbbbbb

Overlap of [3] aaa=bbb with [2] abbb=1:

aa a abbb

Critical pair: aa=bbbbbb.

Referenced by [5].

[5] a=bbbbbbbbb

Overlap of [4] aa=bbbbbb with [2] abbb=1:

a a abbb

Critical pair: a=bbbbbbbbb.

Defines rule #2.

Referenced by [6].

[6] bbbbbbbbbbbb=1

Overlap of [2] abbb=1 with [5] a=bbbbbbbbb:

abbb a

Critical pair: bbbbbbbbbbbb=1.

Defines rule #1.