Certificate for #12192 ⟨a, b | aaaa=ab, bbba=a⟩

Back:⟨a, b | aaaa=ab, bbba=a⟩

Completion settings:

[1] ab=aaaa

Axiom: aaaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbba=a

Axiom: bbba=a.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaaaa=aa

Overlap of [1] ab=aaaa with [2] bbba=a:

a b bbba

Critical pair: aa=aaaabba.

Reduce RHS:

[1]aaa(ab)ba
[1]⇒ aaaaaa(ab)a
⇒ aaaaaaaaaaa

Flip LHS and RHS.

Defines rule #1.