Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
Gries taught his CS class at Cornell from his book, so I spent many hours sweating away over exercises from it. Rereading it seems like a good idea, if I can dig it up.
Some of the notation is not typical, which can throw me off when I (rarely) encounter logic problems today.