Certificate for #5070 ⟨a, b | aaa=ab, bbba=a⟩

Back:⟨a, b | aaa=ab, bbba=a⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbba=a

Axiom: bbba=a.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaa=aa

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

a b bbba

Critical pair: aa=aaabba.

Reduce RHS:

[1]aa(ab)ba
[1]⇒ aaaa(ab)a
⇒ aaaaaaaa

Flip LHS and RHS.

Defines rule #1.