Certificate for #15588 ⟨a, b | aab=aa, babab=b⟩

Back:⟨a, b | aab=aa, babab=b⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] babab=b

Axiom: babab=b.

Defines rule #3.

Referenced by [3].

[3] aaaa=aa

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

aa b babab

Critical pair: aab=aaabab.

Reduce LHS:

[1](aab)
⇒ aa

Reduce RHS:

[1]a(aab)ab
[1]⇒ aa(aab)
⇒ aaaa

Flip LHS and RHS.

Defines rule #2.