Certificate for #19697 ⟨a, b | aba=a, babbb=bb

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

[2] babbb=bb

Axiom: babbb=bb.

Referenced by [3], [4].

[3] abbb=abb

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

a ba babbb

Critical pair: abb=abbb.

Flip LHS and RHS.

Referenced by [4], [5].

[4] babb=bb

Overlap of [2] babbb=bb with [3] abbb=abb:

b abbb abbb

Critical pair: babb=bb.

Defines rule #3.

Referenced by [5].

[5] bbb=bb

Overlap of [4] babb=bb with [3] abbb=abb:

b abb abbb

Critical pair: babb=bbb.

Reduce LHS:

[4](babb)
bb

Flip LHS and RHS.

Defines rule #2.