Certificate for #1620 ⟨a, b | aab=aa, bbb=a

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Referenced by [3].

[2] a=bbb

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbbbb

Simplify [1] aab=aa.

Reduce RHS:

[2](a)a
[2]bbb(a)
bbbbbb

Referenced by [4].

[4] bbbbbbb=bbbbbb

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

aab a

Critical pair: bbbab=bbbbbb.

Reduce LHS:

[2]bbb(a)b
bbbbbbb

Defines rule #1.