The nice thing about Cedar is that it is rot resistant. So it should be used for raised bed boxes. The crappy thing is that it leaches toxic resins into the soil so it shouldn't be used in raised bed boxes.
Maybe. Maybe not.
I built several beds of Western Red Cedar at a group home I was working at in Vancouver, B.C. As Cassie said, Tomatoes did not do well. The purchased
mushroom compost might also not have been the best soil to fill the beds with for tomatoes; I don't know... they failed that's all I know; I think it was the cedar. Not exactly scientific, but I'm running with the anecdotal... Carrots, beets, and greens all did well in other boxes. I figure that the tomatoes send out lateral feeder
roots that engage in what they are hoping is good biology in or near the wood, and these toxic conditions eventually harm the tomatoes which can't stop the process once it's started. The other plants did not seem effected by it, and this might be simply because of a different feeder
root pattern. Peas the next year did fine in the tomato bed. I figure that eventually the surface of the cedar will bleed off it's toxins and that small amount of soil that was toxic becomes re-inoculated with healthy bacterial communities, it will eventually thrive.
The way I look at it is like a cedar shake roof. If the shakes are brand new, they are bright and full of resins, and it's best not to drink the water from them. Once they have weathered to gray, most of the surface resins have been washed way, and the water is much safer to consume.