I can't say for sure, but on a standard network you cant share programs, just files. Services like GoToMyPC (I'm not familiar with LogMeIn) allow full access to your home or work PC, software and files. However, you can setup a limited user account on your PC to limit access to files and folders as well as software.
Okay thanks for your help. The person that wants to view the one program I can not trust to view the other files. So it best not to do anything like that. Right.
Correct. Setting up networks, enabling remote access and even using services like Go to my PC open holes (ports) on your network (router) Firewall and/or PC Firewall that make hacking into your system much easier.
A good secure Firewall is more important then your anti virus software.