In a large bowl, combine the flour, active dry yeast, sugar, and salt. Add the lukewarm water and melted butter, then mix until a smooth dough forms.
Knead the dough for 8-10 minutes, until it becomes elastic and smooth. Cover and let it rise in a warm place for 1 hour, or until doubled in size.
Divide the risen dough into 8 equal pieces. Roll each piece into a long rope, then shape them into pretzel shapes.
Bring 1 liter of water to a boil, then remove from heat and add the baking soda (be careful, it will fizz!).
Dip the pretzels one at a time into the baking soda water for 30 seconds, then remove and place on a baking sheet lined with parchment paper.
Grate the cheddar cheese and sprinkle it evenly over the tops of the pretzels.
Bake the pretzels in a preheated oven at 400°F (200°C) for 15-18 minutes, until golden brown and crispy. Best served fresh.
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