Certificate for #10303 ⟨a, b | aa=1, abbbb=bbb⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abbbb=bbb

Axiom: abbbb=bbb.

Referenced by [3], [4].

[3] bbbb=abbb

Overlap of [1] aa=1 with [2] abbbb=bbb:

a a abbbb

Critical pair: abbb=bbbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] babbb=bbb

Overlap of [3] bbbb=abbb with [3] bbbb=abbb:

b bbb bbbb

Critical pair: babbb=abbbb.

Reduce RHS:

[2](abbbb)
⇒ bbb

Defines rule #3.