Certificate for #5333 ⟨a, b | aaa=ab, bba=ba⟩

Back:⟨a, b | aaa=ab, bba=ba⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bba=ba

Axiom: bba=ba.

Defines rule #3.

Referenced by [3].

[3] aaaaaa=aaaa

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

a b bba

Critical pair: aba=aaaba.

Reduce LHS:

[1](ab)a
⇒ aaaa

Reduce RHS:

[1]aa(ab)a
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #1.