In a large bowl or the bowl of a stand mixer, dissolve the yeast and 1 teaspoon of sugar in the warm water. Let stand until bubbly and foamy, about 5-10 minutes. Add the salt, oil, remaining sugar, and two cups flour, and stir to combine. Add additional flour, 1/4 cup at a time, to form a soft dough that pulls away from the sides of the bowl. Knead the dough until smooth and elastic, then shape into a ball. Place the dough in a greased bowl, cover, and let rise until doubled in size, about one hour.
Preheat the oven to 450 and line two baking sheets with parchment or silicone liners. In a large bowl, whisk together the baking soda and water, until the baking soda is dissolved.
Gently punch down the dough and divide it into 12 equal pieces. Roll each piece of dough out into a long rope, then twist into a pretzel shape. Dip each pretzel into the water bath, then place on the prepared baking sheet. Sprinkle with kosher salt.
Bake 8-10 minutes, until golden brown, then brush with the melted butter. Serve hot.