Quoted here in full (see the last paragraph):
Posted - 2010.04.23 15:51:00 - Edited by: GM Lelouch on 23/04/2010 15:52:45
To make a long story short, automation of gameplay is not permitted; players must be manually issuing the commands to control their character(s) at all times.
Our stance on programs such as Synergy and hardware/software combination such as the G15 keyboard is that they can be legitimately used as long as gameplay isn't automated. Synergy allows you to move your mouse cursor to multiple different monitors which are hooked up to different computers and we do not have any qualms with players using the program for this purpose. If Synergy was used in some way to control your accounts for you without a need for you to be at your keyboard, then that would not be allowed, but I am not aware of such a functionality with this program. If Synergy is used in conjunction with some other program to automate gameplay, it would not be permitted. G15 "macros" which allow you to group different commands into one keypress are allowed. For example, setting your G1 key to press F1, F2, F3 and so on for you with one key press is allowed (although this specific command is not as useful as it was before now that we have weapon grouping).
An exceedingly complex G15 macro which would effectively automate gameplay, such as mining, without a need for the player to be present at his keyboard would be against the EULA, regardless of whether the player utilizing said macro is sitting at his keyboard at the time!
Lastly, multiboxing is allowed, and programs designed for multiboxing in mind which allow a player to manually issue the same command to multiple game clients at the same time are allowed. In the same vein as what has been stated above, the player must be manually sending the commands; if a program is automating those commands for you, then it would be considered a breach of our EULA.
I hope this clears up this matter.
Senior GM Lelouch
EVE Online Customer Support
Context was an informational post from someone detailing how to multi-box 14 EVE clients at once...