diff --git a/concrete_syntax/textual_cd/parser.py b/concrete_syntax/textual_cd/parser.py
index 1a3d4d9..51af346 100644
--- a/concrete_syntax/textual_cd/parser.py
+++ b/concrete_syntax/textual_cd/parser.py
@@ -86,7 +86,10 @@ def parse_cd(state, m_text):
             return True
 
         def INT_OR_INF(self, el):
-            return float('inf') if el == "*" else int(el)
+            # infinity only used for upper cardinality,
+            # where the default value (None) represents infinity
+            # cannot use `float('inf')` because then it violates the constraint of type 'Integer'
+            return None if el == "*" else int(el)
 
         def multiplicity(self, el):
             [lower, upper] = el