rewrite Bigger constraint as a dataclass

coordination-layer/constraints/bigger.py

@@ -1,13 +1,21 @@
+from dataclasses import dataclass
+
 from noir_constraint import NoirConstraint, NoirProof
 
 
+@dataclass
 class Bigger:
-    def __init__(self, y: int):
+    """
-        self.y = y
+    The statement "I know an `x` that is bigger than `y`".
-        self.noir = NoirConstraint("bigger")
+    - `y` is a public parameter provided when the constraint is initialized
+    - `x` is a secret parameter provided at proving time
+    """
+
+    y: int
+    _noir = NoirConstraint("bigger")
 
     def prove(self, x: int) -> NoirProof:
-        return self.noir.prove({"x": str(x), "y": str(self.y)})
+        return self._noir.prove({"x": str(x), "y": str(self.y)})
 
-    def verify(self, proof):
+    def verify(self, proof: NoirProof):
-        return self.noir.verify({"y": str(self.y)}, proof)
+        return self._noir.verify({"y": str(self.y)}, proof)