Certificate for #4011 ⟨a, b | aab=aaa, bbbb=1⟩

Back:⟨a, b | aab=aaa, bbbb=1⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aa

Overlap of [1] aab=aaa with [2] bbbb=1:

aa b bbbb

Critical pair: aa=aaabbb.

Reduce RHS:

[1]a(aab)bb
[1]⇒ aa(aab)b
[1]⇒ aaa(aab)
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #3.