What Discmania has to say about the Logic:

 
The Logic has a low-profile ergonomic grip designed to fit a variety of preferences when it comes to hand feel. The slightly rounded will feel very comfortable in hand and release effortlessly every time. Players that find the P2 or Link to be a bit too deep will surely enjoy how easy a logic is to grip and control. Our goal was to create something that is very responsive to minor adjustments for all types of throws and won’t burn you if you over-correct too much.
 
As a straighter flying putter compared to the Link, this beadless design allows for an equal amount of glide but will offer an easier trajectory for any player on any line you want to throw it on. Although it’s designed as a putt and approach disc, many players are going to be reaching for this one off the tee as well. 

About the plastic:

Hard Exo: About Hard Exo material: The Hard Exo plastic gives the Link enough rigidity for players to be confident that the disc will retain its shape, even for players with a firm grip. While remaining firm, the hard Exo plastic has a soft velvet like feel to its surface making this plastic both reliable and comfortable to the touch.
 
Good for: Control drives, Circle 1 & 2 putts, Scramble shots