Certificate for #25411 ⟨a, b | ab=a, aaaaa=bbb⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #3.

Referenced by [3], [4].

Axiom: aaaaa=bbb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bbb=aaaaa:

Critical pair: aaaaaa=abb.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Overlap of [2] bbb=aaaaa with [2] bbb=aaaaa:

Critical pair: baaaaa=aaaaab.

Reduce RHS:

Referenced by [5].

Overlap of [4] baaaaa=aaaaa with [3] aaaaaa=a:

Critical pair: ba=aaaaaa.

Reduce RHS:

Defines rule #2.