def logical(data_objects: list[dict], entity_relationship_graph: dict) -> dict:
    """Transforms a conceptual model into a logical schema with types and constraints.

    Args:
        data_objects (List[dict]): A list of data objects.
        entity_relationship_graph (dict): The entity-relationship graph derived from the conceptual model.

    Returns:
        Dict: A logical schema representing the data model with types and constraints.
    """
