Expressing heap-shape contracts in linear logic.

ABSTRACTContracts (dynamically checked programmer assertions) are a widely accepted mechanism for specifying, checking and documenting properties of software components. Most, if not all, contract systems expect programmers to use the native programming language to express their program invariants. While this is most effective for many simple invariants, expressing properties of data structures and aliasing patterns can be extremely complicated. If written in the native language in an unstructured way, such contracts are bound to be unclear and ineffective as documentation. In this paper, we show how to use linear logic as a language of contracts for an imperative programming language. The high-level nature of our linear logical contracts makes specifying memory shape and aliasing properties of complex recursive data structures easy. Moreover, since we give our logic a clear, compositional semantics, the contracts serve as effective, executable documentation for programmer expectations. In order to evaluate the truth of our linear logical contracts at run time, we use a modified version of LolliMon, a linear logic programming language.