Certificate for #16027 ⟨a, b | aaa=ab, babb=ba⟩

Back:⟨a, b | aaa=ab, babb=ba⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] baaaaa=ba

Axiom: babb=ba.

Reduce LHS:

[1]b(ab)b
[1]⇒ baa(ab)
⇒ baaaaa

Defines rule #2.

Referenced by [3].

[3] aaaaaaaa=aaaa

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

a b baaaaa

Critical pair: aba=aaaaaaaa.

Reduce LHS:

[1](ab)a
⇒ aaaa

Flip LHS and RHS.

Defines rule #1.