Idris, a general-purpose dependently typed programming language: Design and implementation

@article{Brady2013IdrisAG,
  title={Idris, a general-purpose dependently typed programming language: Design and implementation},
  author={Edwin C. Brady},
  journal={Journal of Functional Programming},
  year={2013},
  volume={23},
  pages={552 - 593}
}
  • Edwin C. Brady
  • Published 1 September 2013
  • Computer Science
  • Journal of Functional Programming
Many components of a dependently-typed programming language are by now well understood, for example the underlying type theory, type checking, unification and evaluation. [] Key Method I describe the high-level language and the underlying type theory, and present a tactic-based method for elaborating concrete high-level syntax with implicit arguments and type classes into a fully explicit type theory. Furthermore, I show how this method facilitates the implementation of new high-level language constructs.

The Idris Programming Language - Implementing Embedded Domain Specific Languages with Dependent Types

In this tutorial, Idris is described, a pure functional programming language with dependent types, and it is shown how it may be used to develop verified embedded domain specific languages (EDSLs).

Dependent Types for Class-based Mutable Objects

This is the first dependently-typed language with mutable objects that the authors know of to bring classes and index refinements into play, enabling types (classes) to be refined by indices drawn from some constraint domain.

Practical Reflection and Metaprogramming for Dependent Types

This dissertation introduces elaborator reflection, in which the core operators of the elaborator are realized as a type of computations that are executed during the elaboration process of Idris itself, along with a rich API for reflection.

Intrinsically-typed definitional interpreters for imperative languages

This paper describes and demonstrates techniques and libraries in Agda that successfully scale up intrinsically-typed definitional interpreters to handle rich object languages with non-trivial binding structures and mutable state, and claims that they still meet the goals of being concise, comprehensible, and executable while guaranteeing type safety for more elaborate object languages.

Practical Erasure in Dependently Typed Languages

This paper presents a new erasure mechanism based on whole-program analysis, currently implemented in the Idris programming language, and shows that with it, erasure can lead to asymptotically faster code thanks to the ability to erase not only proofs but also indices.

Logic Programming and Type Inference with the Calculus of Constructions

Because every result of execution is a term in the consistent calculus of constructions, Caledon can be considered an interactive theorem prover with a less orthogonal combination of proof search and proof checking than has previously been designed or implemented.

A Framework for Resource Dependent EDSLs in a Dependently Typed Language (Artifact)

Resources is a framework for realising Embedded Domain Specific Languages (EDSLs) with type systems that contain domain specific substructural properties and several exemplar EDSLs are presented that illustrates the framework’s operation and how dependent types provide correctness-by-construction guarantees that substructureural properties of written programs hold.

A specification for dependent types in Haskell

A core semantics for Dependent Haskell, an extension of Haskell with full-spectrum dependent types, which consists of two related languages, a Curry-style dependently-typed language with nontermination, irrelevant arguments, and equality abstraction, and its explicitly-typing analogue, suitable for implementation in GHC.

Dependent Types for Safe and Secure Web Programming

Using the dependently typed programming language Idris, this paper shows how to use EDSLs to enforce resource usage protocols associated with common web operations such as CGI, database access and session handling, and introduces an E DSL which uses dependent types to facilitate the creation and handling of web forms.

A framework for improving error messages in dependently-typed languages

This work modify a higher-order unification algorithm that is used to resolve and type-check implicit arguments, and augment this algorithm with replay graphs, allowing for a global heuristic analysis of a unification problem-set, error-tolerant typing, and counter-factual unification, which makes error messages less affected by the order in which types are checked.
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