Certificate for #5321 ⟨a, b | aaa=ab, abb=ba

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] ba=aaaaa

Axiom: abb=ba.

Reduce LHS:

[1](ab)b
[1]aa(ab)
aaaaa

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaaa

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

a b ba

Critical pair: aaaaaa=aaaa.

Defines rule #1.