CREATE TABLE tags (
  name text
);

INSERT INTO tags VALUES ('PostgreSQL');
INSERT INTO tags VALUES ('Groonga');
INSERT INTO tags VALUES ('PGroonga');
INSERT INTO tags VALUES ('pglogical');

CREATE INDEX pgroonga_index ON tags
  USING pgroonga (name pgroonga_text_term_search_ops_v2);

SET enable_seqscan = off;
SET enable_indexscan = on;
SET enable_bitmapscan = off;

EXPLAIN (COSTS OFF)
SELECT name
  FROM tags
 WHERE name &^ 'p' and not
       name &^| ARRAY['gro', 'pos'];

SELECT name
  FROM tags
 WHERE name &^ 'p' and not
       name &^| ARRAY['gro', 'pos'];

DROP TABLE tags;
