How to list broken packages in console
You can list broken packages :
dpkg -l | grep ^..r
r state (on the third field) means: reinst-required (package broken, reinstallation required)
dpkg fields explanation
It seems that nobody has recommended this:
sudo apt-get check
also for more info try
apt-get --help
To get the list of partially installed packages (with architecture information) preceded by their states, one by line, run
dpkg-query -W -f='${db:Status-Abbrev} ${binary:Package}\n' | grep -E ^.[^nci]
See man dpkg-query
for information about the states etc. (I suppose the Reinst-required i.e. R flag can not appear with states n, c or i. If it could, the extended regular expression in grep command should be modified.)