Certificate for #16134 ⟨a, b | aab=aa, bbab=ab⟩

Back:⟨a, b | aab=aa, bbab=ab⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] bbab=ab

Axiom: bbab=ab.

Defines rule #3.

Referenced by [3].

[3] bbaa=aa

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

bba b bbab

Critical pair: bbaab=abbab.

Reduce LHS:

[1]bb(aab)
⇒ bbaa

Reduce RHS:

[2]a(bbab)
[1]⇒ (aab)
⇒ aa

Defines rule #2.