Certificate for #5191 ⟨a, b | aab=bb, aaaa=b⟩

Completion settings:

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

Axiom: aab=bb.

Flip LHS and RHS.

Referenced by [3].

Axiom: aaaa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] bb=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] bb=aaaaaa with [2] b=aaaa:

Critical pair: aaaab=aaaaaa.

Reduce LHS:

Defines rule #1.