1,066 papers · page 27 of 54
Modular programming and modular verification go hand in hand, but most existing logics for concurrency ignore two crucial forms of modularity: *higher-order functions*, which are essential for building reusable components, and *granularity abstraction*, a key technique for hiding…
System FC, the core language of the Glasgow Haskell Compiler, is an explicitly-typed variant of System F with first-class type equality proofs called coercions. This extensible proof system forms the foundation for type system extensions such as type families (type-level function…
Effective support for custom proof automation is essential for large scale interactive proof development. However, existing languages for automation via *tactics* either (a) provide no way to specify the behavior of tactics within the base logic of the accompanying theorem prover…
Representing a syntax tree using a data type often involves having many similar-looking constructors. Functions operating on such types often end up having many similar-looking cases. Different languages often make use of similar-looking constructions. We propose a generic model …
Graphics processing units (GPUs) provide both memory bandwidth and arithmetic performance far greater than that available on CPUs but, because of their Single-Instruction-Multiple-Data (SIMD) architecture, they are hard to program. Most of the programs ported to GPUs thus far use…
Conditional compilation and software product line technologies make it possible to generate a huge number of different programs from a single software project. Typing each of these programs individually is usually impossible due to the sheer number of possible variants. Our previ…
Until now there has been no support for specifying and enforcing contracts within a lazy functional program. That is a shame, because contracts consist of pre- and post-conditions for functions that go beyond the standard static types. This paper presents the design and implement…
Programming with dependent types is a blessing and a curse. It is a blessing to be able to bake invariants into the definition of datatypes: we can finally write correct-by-construction software. However, this extreme accuracy is also a curse: a datatype is the combination of a s…
Haskell gives computational biologists the flexibility and rapid prototyping of a scripting language, plus the performance of native code. In our experience, higher-order functions, lazy evaluation, and monads really worked, but profiling and debugging presented obstacles. Also, …
The operational semantics of a partial, functional language is often given as a relation rather than as a function. The latter approach is arguably more natural: if the language is functional, why not take advantage of this when defining the semantics? One can immediately see tha…
Designing and implementing typed programming languages is hard. Every new type system feature requires extending the metatheory and implementation, which are often complicated and fragile. To ease this process, we would like to provide general mechanisms that subsume many differe…
In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders of magnitude. This work illuminates and c…
We study the complexity of deciding the equality of infinite objects specified by systems of equations, and of infinite objects specified by λ-terms. For equational specifications there are several natural notions of equality: equality in all models, equality of the sets of solut…
Modern parallel computing hardware demands increasingly specialized attention to the details of scheduling and load balancing across heterogeneous execution resources that may include GPU and cloud environments, in addition to traditional CPUs. Many existing solutions address the…
Unmarshalling primitives in statically typed language require, in order to preserve type safety, to dynamically verify the compatibility between the incoming values and the statically expected type. In the context of programming languages based on parametric polymorphism and unif…
We present techniques for reasoning about constructor classes that (like the monad class) fix polymorphic operations and assert polymorphic axioms. We do not require a logic with first-class type constructors, first-class polymorphism, or type quantification; instead, we rely on …
Strongly-typed functional languages provide a powerful framework for embedding Domain-Specific Languages (DSLs). However, building type-safe functions defined over an embedded DSL can introduce application-specific type constraints that end up being imposed on the DSL data types …
Many substructural type systems have been proposed for controlling access to shared state in higher-order languages. Central to these systems is the notion of a *resource*, which may be split into disjoint pieces that different parts of a program can manipulate independently with…
Secure multiparty computation (SMC) permits a collection of parties to compute a collaborative result, without any of the parties gaining any knowledge about the inputs provided by other parties. Specifications for SMC are commonly presented as boolean circuits, where optimizatio…
Existing approaches to higher-order vectorisation, also known as flattening nested data parallelism, do not preserve the asymptotic work complexity of the source program. Straightforward examples, such as sparse matrix-vector multiplication, can suffer a severe blow-up in both ti…