Certificate for #2247 ⟨a, b | ab=aa, baa=bb⟩

Back:⟨a, b | ab=aa, baa=bb⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #2.

Referenced by [3].

[2] bb=baa

Axiom: baa=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaa=aaa

Overlap of [1] ab=aa with [2] bb=baa:

a b bb

Critical pair: abaa=aab.

Reduce LHS:

[1](ab)aa
⇒ aaaa

Reduce RHS:

[1]a(ab)
⇒ aaa

Defines rule #1.