Certificate for #12911 ⟨a, b | aab=aaa, bbbb=b⟩

Back:⟨a, b | aab=aaa, bbbb=b⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbbb=b

Axiom: bbbb=b.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaa

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

aa b bbbb

Critical pair: aab=aaabbb.

Reduce LHS:

[1](aab)
⇒ aaa

Reduce RHS:

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

Flip LHS and RHS.

Defines rule #3.