Certificate for #16497 ⟨a, b | aab=aa, bbb=aaa⟩

Back:⟨a, b | aab=aa, bbb=aaa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] bbb=aaa

Axiom: bbb=aaa.

Defines rule #3.

Referenced by [3], [4].

[3] aaaaa=aa

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

aa b bbb

Critical pair: aaaaa=aabb.

Reduce RHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Defines rule #4.

Referenced by [5].

[4] baaa=aaa

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

b bb bbb

Critical pair: baaa=aaab.

Reduce RHS:

[1]a(aab)
⇒ aaa

Referenced by [5].

[5] baa=aa

Overlap of [4] baaa=aaa with [3] aaaaa=aa:

b aaa aaaaa

Critical pair: baa=aaaaa.

Reduce RHS:

[3](aaaaa)
⇒ aa

Defines rule #2.