Certificate for #13143 ⟨a, b | aab=aaa, bbb=bb⟩

Back:⟨a, b | aab=aaa, bbb=bb⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbb=bb

Axiom: bbb=bb.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aaaa

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

aa b bbb

Critical pair: aabb=aaabb.

Reduce LHS:

[1](aab)b
[1]⇒ a(aab)
⇒ aaaa

Reduce RHS:

[1]a(aab)b
[1]⇒ aa(aab)
⇒ aaaaa

Flip LHS and RHS.

Defines rule #3.