294 papers · page 6 of 15
We present a novel embedding of session-typed concurrency in Haskell. We extend an existing HOAS embedding of linear λ-calculus with a set of core session-typed primitives, using indexed type families to express the constraints of the session typing discipline. We give two interp…
Monads have taken the world by storm, and are supported by do-notation (at least in Haskell). Programmers are increasingly waking up to the usefulness and ubiquity of Applicatives, but they have so far been hampered by the absence of supporting notation. In this paper we show how…
Most build systems start small and simple, but over time grow into hairy monsters that few dare to touch. As we demonstrate in this paper, there are a few issues that cause build systems major scalability challenges, and many pervasively used build systems (e.g. Make) do not scal…
Functional Reactive Programming (FRP) has come to mean many things. Yet, scratch the surface of the multitude of realisations, and there is great commonality between them. This paper investigates this commonality, turning it into a mathematically coherent and practical FRP realis…
Pattern matching has proven to be a convenient, expressive way of inspecting data. Yet this language feature, in its traditional form, is limited: patterns must be data constructors of concrete data types. No computation or abstraction is allowed. The data type in question must b…
We present a small extension to Haskell called the Key monad. With the Key monad, unique keys of different types can be created and can be tested for equality. When two keys are equal, we also obtain a concrete proof that their types are equal. This gives us a form of dynamic typ…
Although laziness enables beautiful code, it comes with non-trivial performance costs. The ghc compiler for Haskell has optimizations to reduce those costs, but the optimizations are not sufficient. As a result, Haskell also provides a variety of strictness annotations so that us…
Causal commutative arrows (CCA) extend arrows with additional constructs and laws that make them suitable for modelling domains such as functional reactive programming, differential equations and synchronous dataflow.
While the speed of the Internet has been increasing, HTTP/1.1 has been plagued by head-of-line blocking, low concurrency and redundant headers. To solve these problems, HTTP/2 was standardized. This paper summarizes our experience implementing HTTP/2 in Haskell. We found several …
We prove that the Call Arity analysis and transformation, as implemented in the Haskell compiler GHC, is safe, i.e. does not impede the performance of the program. We formalized syntax, semantics, the analysis and the transformation in the interactive theorem prover Isabelle to o…
We present a technique for integrating GHC's type-checker with an SMT solver. The technique was developed to add support for reasoning about type-level functions on natural numbers, and so our implementation uses the theory of linear arithmetic. However, the approach is not limit…
Ivory is a language that enforces memory safety and avoids most undefined behaviors while providing low-level control of memory- manipulation. Ivory is embedded in a modern variant of Haskell, as implemented by the GHC compiler. The main contributions of the paper are two-fold. F…
A benefit of pure functional programming is that it encourages equational reasoning. However, the Haskell language has lacked direct tool support for such reasoning. Consequently, reasoning about Haskell programs is either performed manually, or in another language that does prov…
A piece of functional programming folklore due to Piponi provides Löb's theorem from modal provability logic with a computational interpretation as an unusual fixed point. Interpreting modal necessity as an arbitrary Functor in Haskell, the "type" of Löb's theorem is inhabited by…
Remote Procedure Calls are expensive. This paper demonstrates how to reduce the cost of calling remote procedures from Haskell by using the remote monad design pattern, which amortizes the cost of remote calls. This gives the Haskell community access to remote capabilities that a…
Typed functional programming and units of measure are a natural combination, as F# ably demonstrates. However, encoding statically-checked units in Haskell’s type system leads to inevitable disappointment with the usability of the resulting system. Extending the language itself w…
We present a rational reconstruction of extensible effects, the recently proposed alternative to monad transformers, as the confluence of efforts to make effectful computations compose. Free monads and then extensible effects emerge from the straightforward term representation of…
Embedded languages are often compiled at application runtime; thus, embedded compile-time errors become application runtime errors. We argue that advanced type system features, such as GADTs and type families, play a crucial role in minimising such runtime errors. Specifically, a…
Extensible variants improve the modularity and expressiveness of programming languages: they allow program functionality to be decomposed into independent blocks, and allow seamless extension of existing code with both new cases of existing data types and new operations over thos…
This paper presents Modular Reifiable Matching (MRM): a new approach to two level types using a fixpoint of list-of-functors representation. MRM allows the modular definition of datatypes and functions by pattern matching, using a style similar to the widely popular Datatypes a l…