Certificate for #1998 ⟨a, b | aaa=a, bbbb=a⟩

Completion settings:

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

Axiom: aaa=a.

Referenced by [3].

Axiom: bbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aaa=a.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaa=bbbb with [2] a=bbbb:

Critical pair: bbbbaa=bbbb.

Reduce LHS:

Defines rule #1.