Certificate for #13238 ⟨a, b | baa=abb, bba=ba⟩

Back:⟨a, b | baa=abb, bba=ba⟩

Completion settings:

[1] abb=baa

Axiom: baa=abb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

[2] bba=ba

Axiom: bba=ba.

Defines rule #3.

Referenced by [3], [4].

[3] aba=baaa

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

a bb bba

Critical pair: aba=baaa.

Defines rule #2.

Referenced by [4].

[4] baaaaa=baaa

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

ab b bba

Critical pair: abba=baaba.

Reduce LHS:

[1](abb)a
⇒ baaa

Reduce RHS:

[3]ba(aba)
[3]⇒ b(aba)aa
[2]⇒ (bba)aaaa
⇒ baaaaa

Flip LHS and RHS.

Defines rule #1.