Certificate for #20151 ⟨a, b | aab=b, bbaa=bbb⟩

Back:⟨a, b | aab=b, bbaa=bbb⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

[2] bbb=bbaa

Axiom: bbaa=bbb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] bbaaaa=bbaa

Overlap of [2] bbb=bbaa with [2] bbb=bbaa:

b bb bbb

Critical pair: bbbaa=bbaab.

Reduce LHS:

[2](bbb)aa
⇒ bbaaaa

Reduce RHS:

[1]bb(aab)
[2]⇒ (bbb)
⇒ bbaa

Defines rule #2.