Certificate for #1632 ⟨a, b | aab=ab, bbb=a⟩

Back:⟨a, b | aab=ab, bbb=a⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] a=bbb

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbb

Simplify [1] aab=ab.

Reduce RHS:

[2](a)b
⇒ bbbb

Referenced by [4].

[4] bbbbbbb=bbbb

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

aab a

Critical pair: bbbab=bbbb.

Reduce LHS:

[2]bbb(a)b
⇒ bbbbbbb

Defines rule #1.