Certificate for #20644 ⟨a, b | ab=aa, bbbbba=a⟩

Back:⟨a, b | ab=aa, bbbbba=a⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbbbba=a

Axiom: bbbbba=a.

Defines rule #2.

Referenced by [3].

[3] aaaaaaa=aa

Overlap of [1] ab=aa with [2] bbbbba=a:

a b bbbbba

Critical pair: aa=aabbbba.

Reduce RHS:

[1]a(ab)bbba
[1]⇒ aa(ab)bba
[1]⇒ aaa(ab)ba
[1]⇒ aaaa(ab)a
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #3.