Certificate for #5309 ⟨a, b | aaa=aa, bbb=ab⟩

Back:⟨a, b | aaa=aa, bbb=ab⟩

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #3.

Referenced by [3].

[2] ab=bbb

Axiom: bbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbb=bbbbb

Overlap of [1] aaa=aa with [2] ab=bbb:

aa a ab

Critical pair: aabbb=aab.

Reduce LHS:

[2]a(ab)bb
[2]⇒ (ab)bbbb
⇒ bbbbbbb

Reduce RHS:

[2]a(ab)
[2]⇒ (ab)bb
⇒ bbbbb

Defines rule #1.