1,066 papers · page 25 of 54
Functional Reactive Programming (FRP) provides a method for programming continuous, reactive systems by utilizing signal functions that, abstractly, transform continuous input signals into continuous output signals. These signals may also be streams of events, and indeed, by allo…
In this paper, we study strong normalization of a core language based on System F-omega which supports programming with finite and infinite structures. Building on our prior work, finite data such as finite lists and trees are defined via constructors and manipulated via pattern …
Total functional programming offers the beguiling vision that, just by virtue of the compiler accepting a program, we are guaranteed that it will always terminate. In the case of programs that are not intended to terminate, e.g., servers, we are guaranteed that programs will alwa…
This pearl presents a novel technique for constructing a first-order syntax tree directly from a higher-order interface. We exploit circular programming to generate names for new variables, resulting in a simple yet efficient method. Our motivating application is the design of em…
In this paper we investigate laziness and optimal evaluation strategies for functional programming languages. We consider the weak lambda-calculus as a basis of functional programming languages, and we adapt to this setting the concepts of optimal reductions that were defined for…
We present a divide-and-conquer algorithm for parsing context-free languages efficiently. Our algorithm is an instance of Valiant's (1975), who reduced the problem of parsing to matrix multiplications. We show that, while the conquer step of Valiant's is O(n3) in the worst case, …
Dependent type-theory aims to become the standard way to formalize mathematics at the same time as displacing traditional platforms for high-assurance programming. However, current implementations of type theory are still lacking, in the sense that some obvious truths require exp…
One often cited benefit of pure functional programming is that pure code is easier to test and reason about, both formally and informally. However, real programs have side-effects including state management, exceptions and interactions with the outside world. Haskell solves this …
Higher-order recursion schemes (HORS) have recently received much attention as a useful abstraction of higher-order functional programs with a number of new verification techniques employing HORS model-checking as their centrepiece. This paper contributes to the ongoing quest for…
Language-integrated query is receiving renewed attention, in part because of its support through Microsoft's LINQ framework. We present a practical theory of language-integrated query based on quotation and normalisation of quoted terms. Our technique supports join queries, abstr…
We report on the design and implementation of an extensible programming language and its intrinsic support for formal verification. Our language is targeted at low-level programming of infrastructure like operating systems and runtime systems. It is based on a cross-platform core…
This paper presents 3MT, a framework for modular mechanized meta-theory of languages with effects. Using 3MT, individual language features and their corresponding definitions -- semantic functions, theorem statements and proofs-- can be built separately and then reused to create …
Continuations are programming abstractions that allow for manipulating the "future" of a computation. Amongst their many applications, they enable implementing unstructured program flow through higher-order control operators such as callcc. In this paper we develop a Hoare-style …
We present a novel set of meta-programming primitives for use in a dependently-typed functional language. The types of our meta-programs provide strong and precise guarantees about their termination, correctness and completeness. Our system supports type-safe construction and ana…
Describing a problem using classical linear algebra is a very well-known problem-solving technique. If your question can be formulated as a question about real or complex matrices, then the answer can often be found by standard techniques.
Bidirectional typechecking, in which terms either synthesize a type or are checked against a known type, has become popular for its scalability (unlike Damas-Milner type inference, bidirectional typing remains decidable even for very expressive type systems), its error reporting,…
Coercions and threesomes both enable a language to combine static and dynamic types while avoiding cast-based space leaks. Coercion calculi elegantly specify space-efficient cast behavior, even when augmented with blame tracking, but implementing their semantics directly is diffi…
Structural recursion, in the form of, for example, folds on lists and catamorphisms on algebraic data structures including trees, plays an important role in functional programming, by providing a systematic way for constructing and manipulating functional programs. It is, however…
Folds over inductive datatypes are well understood and widely used. In their plain form, they are quite restricted; but many disparate generalisations have been proposed that enjoy similar calculational benefits. There have also been attempts to unify the various generalisations:…
Information-flow control mechanisms are difficult to design and labor intensive to prove correct. To reduce the time wasted on proof attempts doomed to fail due to broken definitions, we advocate modern random testing techniques for finding counterexamples during the design proce…