PGconn and fork

Hi, guys.
I have a program in C, the createas a connection, do stuff, fork, exit
child and continues life.
Supose that when I create de PGconn, I have 1 active connection in postgres.
When I fork, does it count as a second connection? I mean, will postrges
interpretate 2 active connections or they only share the same connection?
I know that if the child process execute some query, I can get unexpected
results, but it doesn't, so I am safe about that.
I'm only worried that this can increase the number of connections and reach
the limit of max_connections.