Certificate for #20172 ⟨a, b | aab=b, bbbb=baa⟩

Back:⟨a, b | aab=b, bbbb=baa⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

[2] bbbb=baa

Axiom: bbbb=baa.

Defines rule #3.

Referenced by [3], [4].

[3] bbaa=bb

Overlap of [2] bbbb=baa with [2] bbbb=baa:

b bbb bbbb

Critical pair: bbaa=baab.

Reduce RHS:

[1]b(aab)
⇒ bb

Defines rule #2.

Referenced by [4].

[4] baaaa=baa

Overlap of [2] bbbb=baa with [3] bbaa=bb:

bb bb bbaa

Critical pair: bbbb=baaaa.

Reduce LHS:

[2](bbbb)
⇒ baa

Flip LHS and RHS.

Defines rule #4.