Description of problem:
SELinux is blocking lightdm and uim-helper-server because the uim socket file is in a strange path:

/var/log/lightdm/.uim.d/socket/uim-helper

Why is this socket file in /var/log?  It should be in /var/lib or /var/run

See bug 948289 comment 7 for more details on the SELinux AVC


Version-Release number of selected component (if applicable):
uim-1.8.4-3.fc19.x86_64
lightdm-1.5.2-2.fc19.x86_64

How reproducible:
every time ?

Steps to Reproduce:
1. switch to lightdm
   systemctl disable gdm.service ; systemctl enable lightdm.service
2. reboot
  
Actual results:
AVCs in audit log blocking uim-helper-server:
type=AVC msg=audit(1365180196.838:380): avc:  denied  { write } for  pid=497 comm="lightdm-gtk-gre" name="uim-helper" dev="sda2" ino=1179704 scontext=system_u:system_r:xdm_t:s0-s0:c0.c1023 tcontext=system_u:object_r:xserver_log_t:s0 tclass=sock_file

Expected results:
no SELinux AVCs

Additional info: