Dissolve yeast in ½ cup warm water. Let sit 5 minutes until foamy.
Heat yogurt slightly in a microwave-safe bowl until lukewarm (not hot).
In the bowl of a stand mixer, combine yogurt, honey, olive oil, salt, and 2 cups of flour.
Add activated yeast. Mix until smooth.
Add remaining 2 cups flour. Knead with dough hook for 3–4 minutes.
Dough should pull away from the bowl sides.
If very sticky, add 1–2 Tbsp flour gradually.
Remove bowl from mixer. Cover with towel.
Let rise in a warm, draft-free spot for at least 1 hour, until doubled.
Lightly flour surface. Turn dough out and shape into a tight ball, tucking bottom under.
Place dough into a parchment-lined Dutch oven.
Cover loosely and let rise another 30 minutes, until doubled.
Preheat oven to 375°F.
Bake 30–35 minutes, until golden brown and hollow-sounding when tapped.
Remove from Dutch oven and cool on wire rack before slicing.