Certificate for #10627 ⟨a, b | aaaa=aab, bbbb=1⟩

Back:⟨a, b | aaaa=aab, bbbb=1⟩

Completion settings:

[1] aab=aaaa

Axiom: aaaa=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaaa=aa

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

aa b bbbb

Critical pair: aa=aaaabbb.

Reduce RHS:

[1]aa(aab)bb
[1]⇒ aaaa(aab)b
[1]⇒ aaaaaa(aab)
⇒ aaaaaaaaaa

Flip LHS and RHS.

Defines rule #1.