Postgres in an object-relational database. It doesn't quite have the full feature-set of something like ObjectDB (unless I'm mistaken). I don't think you can bind methods to datasets and I don't think you can really navigate to data non-declaratively.
Having said that, I can't actually find PsgreSQL's docs for it's object stuff right now (I've read it before though) so don't take my statement as gospel. If anyone has a link to PostgreSQL's object stuff I'd appreciate it.