Certificate for #16271 ⟨a, b | aab=ba, bbbb=ba

Completion settings:

[1] aab=ba

Axiom: aab=ba.

Referenced by [3].

[2] ba=bbbb

Axiom: bbbb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbb

Simplify [1] aab=ba.

Reduce RHS:

[2](ba)
bbbb

Defines rule #3.

Referenced by [4].

[4] bbbbbbbb=bbbbb

Overlap of [2] ba=bbbb with [3] aab=bbbb:

b a aab

Critical pair: bbbbb=bbbbab.

Reduce RHS:

[2]bbb(ba)b
bbbbbbbb

Flip LHS and RHS.

Defines rule #1.