Certificate for #11163 ⟨a, b | aaaab=a, bbbbb=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = 1

Axiom: aaaab=a.

Referenced by [3], [4], [5], [6], [7].

Axiom: bbbbb=1.

Defines rule #3.

Referenced by [3].

Overlap of [1] aaaab=a with [2] bbbbb=1:

Critical pair: aaaa=abbbb.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaaab=a with [3] abbbb=aaaa:

Critical pair: aaaaaaa=abbb.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aaaab=a with [4] abbb=aaaaaaa:

Critical pair: aaaaaaaaaa=abb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [1] aaaab=a with [5] abb=aaaaaaaaaa:

Critical pair: aaaaaaaaaaaaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [1] aaaab=a with [6] ab=aaaaaaaaaaaaa:

Critical pair: aaaaaaaaaaaaaaaa=a.

Defines rule #1.