Certificate for #16133 ⟨a, b | aab=aa, bbab=aa⟩

Back:⟨a, b | aab=aa, bbab=aa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] bbab=aa

Axiom: bbab=aa.

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=aaa

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

aa b bbab

Critical pair: aaaa=aabab.

Reduce RHS:

[1](aab)ab
[1]⇒ a(aab)
⇒ aaa

Defines rule #2.

[4] bbaaa=aaa

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

bba b bbab

Critical pair: bbaaa=aabab.

Reduce RHS:

[1](aab)ab
[1]⇒ a(aab)
⇒ aaa

Defines rule #4.