Certificate for #2583 ⟨a, b | aaa=1, abbb=ab

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #1.

Referenced by [3].

[2] abbb=ab

Axiom: abbb=ab.

Referenced by [3].

[3] bbb=b

Overlap of [1] aaa=1 with [2] abbb=ab:

aa a abbb

Critical pair: aaab=bbb.

Reduce LHS:

[1](aaa)b
b

Flip LHS and RHS.

Defines rule #2.