Certificate for #9263 ⟨a, b | ab=a, aaaa=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: aaaa=bbb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

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

Critical pair: aaaaa=abb.

Reduce RHS:

Defines rule #1.

Referenced by [5].

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

Critical pair: baaaa=aaaab.

Reduce RHS:

Referenced by [5].

Overlap of [4] baaaa=aaaa with [3] aaaaa=a:

Critical pair: ba=aaaaa.

Reduce RHS:

Defines rule #2.