Certificate for #4162 ⟨a, b | abb=aab, bbb=a⟩

Back:⟨a, b | abb=aab, bbb=a⟩

Completion settings:

[1] aab=abb

Axiom: abb=aab.

Flip LHS and RHS.

Referenced by [3].

[2] a=bbb

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbbb

Simplify [1] aab=abb.

Reduce RHS:

[2](a)bb
⇒ bbbbb

Referenced by [4].

[4] bbbbbbb=bbbbb

Overlap of [3] aab=bbbbb with [2] a=bbb:

aab a

Critical pair: bbbab=bbbbb.

Reduce LHS:

[2]bbb(a)b
⇒ bbbbbbb

Defines rule #1.