Certificate for #5336 ⟨a, b | aaa=ab, bbb=ab⟩

Completion settings:

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

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3], [4].

Axiom: bbb=ab.

Reduce RHS:

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=aaa with [2] bbb=aaa:

Critical pair: aaaa=aaabb.

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: baaa=aaab.

Reduce RHS:

Defines rule #2.