Certificate for #15995 ⟨a, b | aaa=ab, aabb=ba

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] ba=aaaaaa

Axiom: aabb=ba.

Reduce LHS:

[1]a(ab)b
[1]aaa(ab)
aaaaaa

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaaaa=aaaa

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

a b ba

Critical pair: aaaaaaa=aaaa.

Defines rule #1.