Preheat to 375F.
Cream butter and sugar together.
Add eggs one at a time then the vanilla extract while mixing on low, scrape the bowl down.
On low, mix in flour, cornstarch and salt.
Separate dough into two parts. Wrap in plastic and chill for about an hour.
Roll out between two pieces of parchment paper.
Roll to between ½ and 1/4 inch thickness.
With a cookie cutter, cut out star shapes.
Place stars on a baking sheet lined with parchment paper.
Bake for about 12 minutes.
Allow cookies to cool on their baking sheet until room temperature.