def feature_to_keys(feature: LiteFeature) -> List[str]:
        """
        Generate hashing keys from LiteFeature. For example:
        - LiteFeature("f1", Double, {"numeric"}) -> ['Double', 'numeric', 'Double,numeric', 'ANY']
        - LiteFeature("f1", Datetime, {"time_index"}) -> ['Datetime', 'time_index', 'Datetime,time_index', 'ANY']
        - LiteFeature("f1", Double, {"index", "other"}) -> ['Double', 'index', 'other', 'Double,index', 'Double,other', 'ANY']

                Args:
            feature (LiteFeature):

        Returns:
            List[str]
                List of hashing keys
        """
        keys: List[str] = []
        logical_type = feature.logical_type
        logical_type_name = None
        if logical_type is not None:
            logical_type_name = logical_type.__name__
            keys.append(logical_type_name)

        all_tags = sorted(feature.tags)

        tag_combinations = []

        # generate combinations of all lengths from 1 to the length of the input list
        for i in range(1, len(all_tags) + 1):
            # generate combinations of length i and append to the combinations_list
            for comb in combinations(all_tags, i):
                tag_combinations.append(list(comb))

        for tag_combination in tag_combinations:
            tags_key = ",".join(tag_combination)
            keys.append(tags_key)
            if logical_type_name:
                keys.append(f"{logical_type_name},{tags_key}")

        keys.append(ANY)
        return keys

        Generate hashing keys from LiteFeature. For example:
        - LiteFeature("f1", Double, {"numeric"}) -> ['Double', 'numeric', 'Double,numeric', 'ANY']
        - LiteFeature("f1", Datetime, {"time_index"}) -> ['Datetime', 'time_index', 'Datetime,time_index', 'ANY']
        - LiteFeature("f1", Double, {"index", "other"}) -> ['Double', 'index', 'other', 'Double,index', 'Double,other', 'ANY']

                Args:
            feature (LiteFeature):

        Returns:
            List[str]
                List of hashing keys
        
featuretools/feature_discovery/FeatureCollection.py