We introduce a new compile-time notion of type subsumption based on type simulation. We show how to apply this static subsumption relation to support a more intuitive, object oriented approach to generic programming of reusable, high performance container types. As a first step towards an efficient implementation of the resulting type system in a compiler we present a novel algorithm for bidirectional type inference over arbitrary syntax graphs. The algorithm uses the new static type subsumption relation to compress the data that has to be stored for each node in the typeflow graph. During typeflow analysis this means that the set of types for a given node can be symbolically represented using antichains instead of using bitvectors or some other explicit set representation. This results in a typing algorithm that is both flexible and precise and shows good performance on representative instances.
@cite_0: X10 is a modern object-oriented language designed for productivity and performance in concurrent and distributed systems. In this setting, dependent types offer significant opportunities for detecting design errors statically, documenting design decisions, eliminating costly run-time checks (e.g., for array bounds, null values), and improving the quality of generated code. We present the design and implementation of constrained types, a natural, simple, clean, and expressive extension to object-oriented programming: A type C c names a class or interface C and a constraint c on the immutable state of C and in-scope final variables. Constraints may also be associated with class definitions (representing class invariants) and with method and constructor definitions (representing preconditions). Dynamic casting is permitted. The system is parametric on the underlying constraint system: the compiler supports a simple equality-based constraint system but, in addition, supports extension with new constraint systems using compiler plugins.
@cite_4: We describe flow-insensitive type qualifiers, a lightweight, practical mechanism for specifying and checking properties not captured by traditional type systems. We present a framework for adding new, user-specified type qualifiers to programming languages with static type systems, such as C and Java. In our system, programmers add a few type qualifier annotations to their program, and automatic type qualifier inference determines the remaining qualifiers and checks the annotations for consistency. We describe a tool CQual for adding type qualifiers to the C programming language. Our tool CQual includes a visualization component for displaying browsable inference results to the programmer. Finally, we present several experiments using our tool, including inferring const qualifiers, finding security vulnerabilities in several popular C programs, and checking initialization data usage in the Linux kernel. Our results suggest that inference and visualization make type qualifiers lightweight, that type qualifier inference scales to large programs, and that type qualifiers are applicable to a wide variety of problems.
More recently other uses of types are being explored that enrich type systems in various ways with constraints and qualifiers that can express certain invariants and in this way further the role of types in writing safe and correct programs @cite_4 @cite_0 .