Certificate for #4413 ⟨a, b | aaab=a, bbbbb=1⟩

Completion settings:

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

Axiom: aaab=a.

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

Axiom: bbbbb=1.

Defines rule #3.

Referenced by [3].

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

Critical pair: aaa=abbbb.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaab=a with [3] abbbb=aaa:

Critical pair: aaaaa=abbb.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aaab=a with [4] abbb=aaaaa:

Critical pair: aaaaaaa=abb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [1] aaab=a with [5] abb=aaaaaaa:

Critical pair: aaaaaaaaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [1] aaab=a with [6] ab=aaaaaaaaa:

Critical pair: aaaaaaaaaaa=a.

Defines rule #1.