Certificate for #1279 ⟨a, b | aab=aaa, bbb=1⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbb=1

Axiom: bbb=1.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aa

Overlap of [1] aab=aaa with [2] bbb=1:

aa b bbb

Critical pair: aa=aaabb.

Reduce RHS:

[1]a(aab)b
[1]aa(aab)
aaaaa

Flip LHS and RHS.

Defines rule #3.