Certificate for #402 ⟨a, b | aaa=ab, bbb=1⟩

Back:⟨a, b | aaa=ab, bbb=1⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbb=1

Axiom: bbb=1.

Defines rule #3.

Referenced by [3].

[3] aaaaaaa=a

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

a b bbb

Critical pair: a=aaabb.

Reduce RHS:

[1]aa(ab)b
[1]⇒ aaaa(ab)
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #1.