Trigger: move deleted rows to archive table
You just need to move the old data into the restrictions_deleted table before it gets deleted. This is done with the OLD data type. You can use a regulat INSERT statement and and use the OLD values as the values-to-be-inserted.

CREATE TRIGGER moveDeleted
BEFORE DELETE ON restrictions 
FOR EACH ROW
EXECUTE PROCEDURE moveDeleted();


CREATE FUNCTION moveDeleted() RETURNS trigger AS $$
    BEGIN
       INSERT INTO restrictions_deleted VALUES(OLD.column1, OLD.column2,...);
       RETURN OLD;
    END;
$$ LANGUAGE plpgsql;