Certificate for #14455 ⟨a, b | aaab=a, babbb=a⟩

Completion settings:

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

Axiom: aaab=a.

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

Axiom: babbb=a.

Referenced by [3], [7].

Overlap of [1] aaab=a with [2] babbb=a:

Critical pair: aaaa=aabbb.

Referenced by [4].

Overlap of [3] aaaa=aabbb with [1] aaab=a:

Critical pair: aa=aabbbb.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aaab=a with [4] aabbbb=aa:

Critical pair: aaa=abbb.

Defines rule #3.

Referenced by [6].

Overlap of [1] aaab=a with [5] aaa=abbb:

Critical pair: abbbb=a.

Defines rule #1.

Referenced by [7].

Overlap of [2] babbb=a with [6] abbbb=a:

Critical pair: ba=ab.

Defines rule #2.