Certificate for #5313 ⟨a, b | aaa=ab, aab=ba⟩

Back:⟨a, b | aaa=ab, aab=ba⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] ba=aaaa

Axiom: aab=ba.

Reduce LHS:

[1]a(ab)
⇒ aaaa

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aaaa

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

a b ba

Critical pair: aaaaa=aaaa.

Defines rule #1.