Certificate for #6481 ⟨a, b | aba=a, babbb=b

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

[2] babbb=b

Axiom: babbb=b.

Referenced by [3], [4].

[3] abbb=ab

Overlap of [1] aba=a with [2] babbb=b:

a ba babbb

Critical pair: ab=abbb.

Flip LHS and RHS.

Referenced by [4], [5].

[4] bab=b

Overlap of [2] babbb=b with [3] abbb=ab:

b abbb abbb

Critical pair: bab=b.

Defines rule #2.

Referenced by [5].

[5] bbb=b

Overlap of [4] bab=b with [3] abbb=ab:

b ab abbb

Critical pair: bab=bbb.

Reduce LHS:

[4](bab)
b

Flip LHS and RHS.

Defines rule #3.