This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
Without knowing what book you're reading my guess would be that Domain requirements refer to the business logic that's needed to solve a particular problem. The Program specifications then, would be the implementation details of the software.