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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _reduce_name(cls, name, parse_dict):
 """ Reduces a name against matches found in a parse dictionary :param name: str, name to be reduced :param parse_dict: dict, dictionary of matches to reduce against :return: str, reduced string """

        # Now remove all found entries to make basename regex have an easier time
        removal_indices = []
        for section, match in iteritems(parse_dict):
            try:
                matches = []
                if isinstance(match, dict) and 'compound_matches' in match:
                    matches = match.get('compound_matches')
                elif not isinstance(match, list) and match is not None:
                    matches = [match]

                for m in matches:
                    valid_slice = True
                    slice_a, slice_b = m.get('position')
                    # Adjust slice positions from previous slices
                    if removal_indices is []:
                        removal_indices.append((slice_a, slice_b))

                    for r_slice_a, r_slice_b in removal_indices:
                        if slice_a == r_slice_a and slice_b == r_slice_b:
                            valid_slice = False
                        if slice_a > r_slice_a or slice_a > r_slice_b or slice_b > r_slice_b or slice_b > r_slice_a:
                            slice_delta = r_slice_b - r_slice_a
                            slice_a -= slice_delta
                            slice_b -= slice_delta

                    if valid_slice:
                        name = cls._string_remove_slice(name, slice_a, slice_b)
                        removal_indices.append((slice_a, slice_b))
            except (IndexError, TypeError):
                pass
        return name