Certificate for #19616 ⟨a, b | aab=b, bbbaa=aa⟩

Back:⟨a, b | aab=b, bbbaa=aa⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4], [5].

[2] bbbaa=aa

Axiom: bbbaa=aa.

Defines rule #4.

Referenced by [3], [4], [5].

[3] aaaa=aa

Overlap of [1] aab=b with [2] bbbaa=aa:

aa b bbbaa

Critical pair: aaaa=bbbaa.

Reduce RHS:

[2](bbbaa)
⇒ aa

Defines rule #2.

[4] bbbb=b

Overlap of [2] bbbaa=aa with [1] aab=b:

bbb aa aab

Critical pair: bbbb=aab.

Reduce RHS:

[1](aab)
⇒ b

Defines rule #3.

[5] bbbab=ab

Overlap of [2] bbbaa=aa with [1] aab=b:

bbba a aab

Critical pair: bbbab=aaab.

Reduce RHS:

[1]a(aab)
⇒ ab

Defines rule #5.