Certificate for #16039 ⟨a, b | aaa=ab, bbba=ba⟩

Back:⟨a, b | aaa=ab, bbba=ba⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbba=ba

Axiom: bbba=ba.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaa=aaaa

Overlap of [1] ab=aaa with [2] bbba=ba:

a b bbba

Critical pair: aba=aaabba.

Reduce LHS:

[1](ab)a
⇒ aaaa

Reduce RHS:

[1]aa(ab)ba
[1]⇒ aaaa(ab)a
⇒ aaaaaaaa

Flip LHS and RHS.

Defines rule #1.