Unifying theories distil common features of programming languages and design methods by means of algebraic operators and their laws. Several practical concerns---e.g., improvement of a program, conformance of code with design, correctness with respect to specified requirements---are subsumed by the beautiful notion that programs and designs are special forms of specification and their relationships are instances of logical implication between specifications. Mathematical development of this idea has been very successful but limited to an impoverished notion of specification: trace properties. Some mathematically precise properties of programs---dubbed hyperproperties---refer to traces collectively. For example, confidentiality involves knowledge of possible traces. This article reports on both obvious and surprising results about lifting algebras of programming to hyperproperties, especially in connection with loops, and suggests directions for further research. The main results are: the first compositional semantics of imperative programs with loops, at the hyper level, and a proof that this semantics is the same as the direct image of a standard semantics, for subset closed hyperproperties.
Computing systems often deliberately release (or declassify) sensitive information. A principal security concern for systems permitting information release is whether this release is safe: is it possible that the attacker compromises the information release mechanism and extracts more secret information than intended? While the security community has recognised the importance of the problem, the state-of-the-art in information release is, unfortunately, a number of approaches with somewhat unconnected semantic goals. We provide a road map of the main directions of current research, by classifying the basic goals according to what information is released, who releases information, where in the system information is released, and when information can be released. With a general declassification framework as a long-term goal, we identify some prudent principles of declassification. These principles shed light on existing definitions and may also serve as useful "sanity checks" for emerging models.