Certificate for #16125 ⟨a, b | aab=aa, babb=aa⟩

Back:⟨a, b | aab=aa, babb=aa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] babb=aa

Axiom: babb=aa.

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=aaa

Overlap of [1] aab=aa with [2] babb=aa:

aa b babb

Critical pair: aaaa=aaabb.

Reduce RHS:

[1]a(aab)b
[1]⇒ a(aab)
⇒ aaa

Defines rule #2.

[4] babaa=aaa

Overlap of [2] babb=aa with [2] babb=aa:

bab b babb

Critical pair: babaa=aaabb.

Reduce RHS:

[1]a(aab)b
[1]⇒ a(aab)
⇒ aaa

Defines rule #4.