In a large bowl, mix the flour, salt, yeast, and 1 egg.
Add the melted, but not hot, butter.
Crumble the cheese and mix with the other ingredients.
Knead until you get a homogeneous dough.
Preheat the oven to 200 °C/390 °F and line a baking sheet with parchment paper.
Roll out the dough into a 1cm (~1/3 inch) thick sheet. Then cut the pretzels using a pretzel cookie cutter or mold, or by cutting long strips and shape the pretzels by hand.
Top each pretzel with egg wash, sesame seeds and optionally add extra grated cheese. Bake at 200°C/390°F for 8-9 minutes or until golden brown.
You can store them in a glass jar or zip lock bag after cooling.