Certificate for #5116 ⟨a, b | aab=aa, babb=a⟩

Back:⟨a, b | aab=aa, babb=a⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] babb=a

Axiom: babb=a.

Defines rule #4.

Referenced by [3], [4].

[3] baba=aa

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

bab b babb

Critical pair: baba=aabb.

Reduce RHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Defines rule #3.

Referenced by [4].

[4] baa=aa

Overlap of [3] baba=aa with [2] babb=a:

ba ba babb

Critical pair: baa=aabb.

Reduce RHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Defines rule #2.