Linear logical approximations
Robert J. Simmons, Frank Pfenning · 2009
The abstract interpretation of programs relates the exact semantics of a programming language to an approximate semantics that can be effectively computed. We show that, by specifying operational semantics in a bottom-up, linear logic programming language -- a technique we call "substructural operational semantics" (SSOS) -- manifestly sound program approximations can be derived by simple and intuitive approximations of the logic program. As examples, we describe how to derive a simple alias analysis, 0CFA, and kCFA analysis from a substructural operational semantics of the relevant languages.