Certificate for #20787 ⟨a, b | ab=aa, baaaa=bb⟩

Back:⟨a, b | ab=aa, baaaa=bb⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #2.

Referenced by [3].

[2] bb=baaaa

Axiom: baaaa=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaaaa=aaa

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

a b bb

Critical pair: abaaaa=aab.

Reduce LHS:

[1](ab)aaaa
⇒ aaaaaa

Reduce RHS:

[1]a(ab)
⇒ aaa

Defines rule #1.