Certificate for #26639 ⟨a, b | aa=1, abbbbbbb=b⟩

Back:⟨a, b | aa=1, abbbbbbb=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #3.

Referenced by [3], [4].

[2] abbbbbbb=b

Axiom: abbbbbbb=b.

Referenced by [3].

[3] ab=bbbbbbb

Overlap of [1] aa=1 with [2] abbbbbbb=b:

a a abbbbbbb

Critical pair: ab=bbbbbbb.

Defines rule #2.

Referenced by [4].

[4] bbbbbbbbbbbbb=b

Overlap of [1] aa=1 with [3] ab=bbbbbbb:

a a ab

Critical pair: abbbbbbb=b.

Reduce LHS:

[3](ab)bbbbbb
⇒ bbbbbbbbbbbbb

Defines rule #1.