Certificate for #15604 ⟨a, b | aab=aa, bbbab=b⟩

Back:⟨a, b | aab=aa, bbbab=b⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] bbbab=b

Axiom: bbbab=b.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

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

aa b bbbab

Critical pair: aab=aabbab.

Reduce LHS:

[1](aab)
⇒ aa

Reduce RHS:

[1](aab)bab
[1]⇒ (aab)ab
[1]⇒ a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.