Certificate for #1596 ⟨a, b | aaa=ab, bba=a⟩

Back:⟨a, b | aaa=ab, bba=a⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bba=a

Axiom: bba=a.

Defines rule #3.

Referenced by [3].

[3] aaaaaa=aa

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

a b bba

Critical pair: aa=aaaba.

Reduce RHS:

[1]aa(ab)a
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #1.