Certificate for #16011 ⟨a, b | aaa=ab, abbb=ba

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] ba=aaaaaaa

Axiom: abbb=ba.

Reduce LHS:

[1](ab)bb
[1]aa(ab)b
[1]aaaa(ab)
aaaaaaa

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaaaaa=aaaa

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

a b ba

Critical pair: aaaaaaaa=aaaa.

Defines rule #1.