Certificate for #15501 ⟨a, b | aaa=ab, bbbba=a⟩

Back:⟨a, b | aaa=ab, bbbba=a⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbba=a

Axiom: bbbba=a.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaaa=aa

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

a b bbbba

Critical pair: aa=aaabbba.

Reduce RHS:

[1]aa(ab)bba
[1]⇒ aaaa(ab)ba
[1]⇒ aaaaaa(ab)a
⇒ aaaaaaaaaa

Flip LHS and RHS.

Defines rule #1.