Applications for boolean logic operations in zero-one integer linear programming (ILP)
Yes, there are many applications.  To find some, go to that question and look through the linked and related questions on the sidebar; that will already show you several applications.  Next, do a search for the search term "ILP" on this site, and browse through the search results.  You will find many examples of problems that can be solved with zero-one ILP using these techniques.