The same way you would use Sharp man.
It's a standalone program and a VST plug-in. You can use it to jam with using the standalone or use it in Logic as a plug-in on your guitar tracks. You can go through a DI into your Alesis, but you can also use any instrument inputs on the Alesis if you want as well. Turn the gain up on the channel on the Alesis until you are peaking at around -6dB (-3dB if you are brave) while doing ridiculous noises on the guitar to get the loudest possible levels from it. Once you have it peaking at a good level below unity (0dB) then you are ready to track some DI guitars. Make a track or two in Logic and have their inputs coming from the channel you have your guitar plugged into on the Alesis. Then add ReValver to that DI track as a plug-in. Teak away and now every time you play back the guitars, they will be going through ReValver.
Easy.
~006