Certificate for #2012 ⟨a, b | aaa=b, abbb=a⟩

Completion settings:

[1] b=aaa

Axiom: aaa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aaaaaaaaaa=a

Axiom: abbb=a.

Reduce LHS:

[1]a(b)bb
[1]⇒ aaaa(b)b
[1]⇒ aaaaaaa(b)
⇒ aaaaaaaaaa

Defines rule #1.