Certificate for #13188 ⟨a, b | abb=aaa, bba=ba⟩

Back:⟨a, b | abb=aaa, bba=ba⟩

Completion settings:

[1] abb=aaa

Axiom: abb=aaa.

Defines rule #4.

Referenced by [3], [4].

[2] bba=ba

Axiom: bba=ba.

Defines rule #3.

Referenced by [3], [4].

[3] aba=aaaa

Overlap of [1] abb=aaa with [2] bba=ba:

a bb bba

Critical pair: aba=aaaa.

Defines rule #2.

Referenced by [4].

[4] aaaaaa=aaaa

Overlap of [1] abb=aaa with [2] bba=ba:

ab b bba

Critical pair: abba=aaaba.

Reduce LHS:

[1](abb)a
⇒ aaaa

Reduce RHS:

[3]aa(aba)
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #1.