Certificate for #14472 ⟨a, b | aaab=a, bbbbb=b⟩

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=b.

Defines rule #3.

Referenced by [3].

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

Critical pair: aaab=abbbb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4].

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

Critical pair: aaa=abbb.

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: aaaaa=abb.

Flip LHS and RHS.

Referenced by [6].

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

Critical pair: aaaaaaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

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

Critical pair: aaaaaaaaa=a.

Defines rule #1.