Internet users have become well acquainted with the World Wide Web (WWW) system, and WWW has become the most significant service on the Internet. In the near future, the importance of large scale hypermedia database systems based on WWW technologies is expected to continue to increace. The present study focuses on the issue of managing hyperlink integrity constraints on WWW like hypermedia database systems. After formally defining path existence constraint definitions(PEDs) using intuitive examples, we apply the notion of PEDs to represent hyperlink integrity constraints. Intuitively, a PED can be used to represent the following integrity constraint. If a reference path exists in a given database, then another corresponding reference path must also exist. An outline of a prototype hypermedia database system, AYATORI, which is based on the proposed model and under development, is also mentioned.