The final tab shown within the 'My System' tab is the 'Nagios Core' tab:
The 'Nagios Core' tab allows you to set various Engine-level options, including whether to log certain events, enabling core dumps (for debugging), logging passive checks and using soft state dependencies.
Used for debugging if you find that Nagios(R) Core unexpectedly crashes.
Core dumps will be written to the nagios user's home directory. Check that the nagios user can write to their home directory and that ulimit -c is not zero.
If you see the following in the nagios.log file:
 Caught SIGSEGV, shutting down...
Then a core dump will not be produced, because the nagios daemon would have handled a SIGSEGV signal, instead of allowing the OS to produce a core dump.
This option determines whether or not Nagios(R) Core will use soft service state information when checking service dependencies. Normally Nagios(R) Core will only use the latest hard service state when checking dependencies. If you want it to use the latest state (regardless of whether its a soft or hard state type), enable this option.
You can define dependencies in the service check configuration.