haskell dependent types 2019
Mar 15, 2019 This post is based off of a talk I gave on March 8, 2019, that was unfortunately not recorded. Packages tagged dependent-types. [2017]. The code could have been python if you squinted, passing dictionaries around, no type annotations anywhere. so that we can, for the first time, perform higher-order programming at the type level in Haskell. (bsd3, data, dependent-types, library) 2019-06-19: phadej: decidable: 15: 0.0: Combinators for manipulating dependently-typed predicates. Type packages. What is a dependent type An ordinary type such as [a] may depend on other types -- in our case, the type of list elements -- but not on the values of those elements or their number. Over the past decade, the Haskell compiler GHC has incorporated a number of new type system features inspired by dependent type theory. Award. (bsd3, data, dependent-types, library) 2019-06-19: phadej: decidable: 9: 0.0: Combinators for manipulating dependently-typed predicates. /Filter /FlateDecode PACMPL (ICFP) seeks contributions on the design, implementations, principles, and uses of functional programming, covering the entire spectrum of work, from practice to theory, including its peripheries. type-equality. In this work, we show how to integrate roles with dependent type systems and prove, using the Coq proof assistant, … She works in the areas of functional programming, type systems, machine-assisted theorem proving and dependent types. Dependent types will still remain type-safe however. Dependent Types Type More Tags Click on a tag to add it and filter down. [2017]. Visible dependent quantification in Haskell. In 16. /Length 586 Dr. Weirich has served as the program chair of POPL 2019, ICFP 2010 and the 2009 Haskell Symposium. types and roles. Many dependently typed programs can even currently be encoded, but … (This is … (Thanks for the heads up, @thomie! haskell dependent ... Add a description, image, and links to the dependent-types topic page so that developers can more easily learn about it. 10.0 9.7 Haskell A dependently typed functional programming language and proof assistant. Here is the schedule as I see it: GHC 8.2: Clean up some of the lingering issues with -XTypeInType. Updated Mar 3, 2019; Haskell; metastatedev / juvix Star 153 Code Issues Pull requests A more elegant language for a more civilized age. She joined Penn after receiving her Ph.D. from Dependent types in Haskell will be inconsistent, when we view Haskell as a logic. We make the following speciic contributions: • The type-level programming landscape has evolved greatly since the early days of Haskell Ningning Xie and Richard A Eisenberg. In this talk, I Packages tagged dependent-types. It was drawn to my attention that there is an active Reddit thread about the future of dependent types in Haskell. Talk: (English) Dependent Types in Haskell Why should programmers care about dependent types? The starting point for our design is System D, the core language for Dependent Haskell fromWeirich et al. parameterized-utilsdoesn’t use Eisenberg and Weirich’s library, nor the Dependent Types in Haskell Ningning Xie 1 13 Dec., 2018 Hong Kong Functional Programming Meetup 1The University of Hong Kong 17. Summer 2019 2019 2018 2017 2016 2015. haskell dependent-types midi music-composition haskell-library music-notation type-level-programming Updated Mar 3, 2019; Haskell; cedille / cedille Star 278 Code Issues Pull requests Open Allow import M as _ ... Add a description, image, and links to the dependent-types topic page so that developers can more easily learn about it. The Haskell 2010 report was published in July 2010, and is the current definition of the Haskell language. Many of these features---chiefly: generalized algebraic datatypes (GADTs), type families, kind polymorphism, and promoted datatypes---have brought Haskell to the doorstep of dependent types. << To make sure such conversions are safe and desirable, this feature relies on a mechanism of roles to prohibit invalid coercions. Coercion Quanti cation. Tue 20 Aug 2019 15:20 - 15:43 at Aurora Borealis - Dependent Types in Haskell Chair(s): Joachim Breitner Abstract Recent versions of the Haskell compiler GHC have a number of advanced features that allow many idioms from dependently typed programming to be encoded. Though this language has full-spectrum dependent types, it is not a standard dependent type theory: it admits logical inconsistency and the ⋆ : ⋆axiom, along with support for equality assumptions and type erasure. >> Stephanie Weirich is a Professor of Computer and Information Science at the Paper award (for 2006) and the 2016 ACM SIGPLAN Robin Milner Young Researcher a#A%áÀ߯«ÀÌjDÕå²»«ífðãc;ZæÕÁÌ«¶®MfGÑÏ}í
q]/¶ìÞÍmÞ¯¶o⣩²íÄ0ZÇë²è^x]fçkn{ÕÿE+{*ʧyÄpg6;5PìîìV¤pH8$hùmÚ¢*ßzR:")ó¨º ÊÖß3qûXysO'Hî)-ò"ëî}³³ÍÛ[ÛÙ˺. new type system features inspired by dependent type theory. endobj Our extension brings the expressive power of Haskell’s type language closer to the term language, and takes another important step towards bringing full-spectrum dependent types to Haskell [Weirich et al.2017]. (2018). In part 1 we reviewed the basic way to construct data types in Haskell. She works in the areas of functional programming, University of Pennsylvania. Modern Haskell supports zero-cost coercions, a mechanism where types that share the same run-time representation may be freely converted between. Agda. Haskell Dependent Types Type packages « All Tags Selected Tags Click on a tag to remove it. In lieu of video, I decided to write this blog post so that I could share it with others. programming language to be “dependently typed.”. types and roles. [2017]. More likely 8.6 or 8.8 (2019-20). Functional Programming Language with Dependent Types. Part 2 showed the simple way we can extend our Haskell types to make them sum types! CITES METHODS & BACKGROUND. an extended example of a Haskell library for regular expression matching. 9.7 5.0 Haskell A framework for generating singleton types. A dependent type does depend on such dynamic values. Her awards include the 2016 Most Influential ICFP 50 packages have this tag. She works in the areas of functional programming, type systems, machine-assisted theorem proving and dependent types. Haskell in which types are assigned run-time representatives (called singletons, because each has but a single non-⊥ inhabitant) that contain witnesses of type equality from which the represented type can be recovered. Download Citation | A specification for dependent types in Haskell | We propose a core semantics for Dependent Haskell, an extension of Haskell with full-spectrum dependent types. endstream types. types and roles. The starting point for our design is System D, the core language for Dependent Haskell from Weirich et al. 2017]. Data 2. Over the past decade, the Haskell compiler GHC has incorporated a number of Haskell / ˈ h æ s k əl / is a general-purpose, statically typed, purely functional programming language with type inference and lazy evaluation. Get performance insights in less than 4 minutes. A new standard will be defined each year. Though this language has full-spectrum dependent types, it is not a standard dependent type theory: it admits logical inconsistency and the⋆: ⋆axiom, along with support for equality assumptions and type erasure. Though this language has full-spectrum dependent types, it is not a standard dependent type theory: it admits logical inconsistency and the ⋆ : ⋆axiom, along with support for equality assumptions and type erasure. singletons. extension brings the expressive power of Haskell’s type language closer to the term language, and takes another important step towards bringing full-spectrum dependent types to Haskell [Weirich et al. Posts about Haskell written by Richard Eisenberg. To see how Illative Combinatory logic deals with dependent types, see combinator G described in Systems of Illative Combinatory Logic complete for first-order propositional and predicate calculus by Henk Barendregt, Martin Bunder, Wil Dekkers.It seems to me that the dependent type constructof Epigr… will motivate this work and demonstrate the benefits of these features through Showing projects tagged as Dependent Types and Type. Modern Haskell supports zero-cost coercions, a mechanism where types that share the same run-time representation may be freely converted between. We’re back to continue on our journey in using dependent types to write type-safe neural networks! 50 packages have this tag. the process, I will use this example to analyze what it means for a practical Dr. Weirich has served as the program chair of POPL 2019, ICFP 2010 and the 2009 Haskell Symposium. 2018. Type inference, Haskell and dependent types @inproceedings{Gundry2013TypeIH, title={Type inference, Haskell and dependent types}, author={Adam Michael Gundry}, year={2013} } Adam Michael Gundry ... 2019; VIEW 5 EXCERPTS. DEPENDENT TYPES IN HASKELL: THEORY AND PRACTICE RichardA.Eisenberg ADISSERTATION in ComputerandInformationSciences ... code, a full description of the differences between Dependent Haskell and today’s Haskell,anoveldependentlytypedlambda-calculus(calledPico)suitableforuseas Proceedings of the ACM on Programming Languages 1, ICFP (2017), 31. (bsd3, data, dependent-types, library) 2019-06-19: phadej: decidable: 16: 0.0: Combinators for manipulating dependently-typed predicates. Haskell' is the next official version. The starting point for our design is System D, the core language for Dependent Haskell fromWeirich et al. Dependent Types in Haskell with Stephanie Weirich At Strange Loop 2017, I wandered into a talk where I saw some code that deeply surprised me. ... compare types of any kinds in haskell (bsd3, dependent-types, library) 2015-01-10: Kinokkory: cubical: ... Decidable propositions. To make sure such conversions are safe and desirable, this feature relies on a mechanism of roles to prohibit invalid coercions. Compilers will also continue to support the previous version of Haskell, Haskell 98 (via a special flag). It covers such topics as dependent types (including path dependent types), type families, sum and product types, functions, dependent Σ- and Π-type, inductive types, identity type, type classes, eliminators (recursion and induction), β-reduction, η-conversion, Curry–Howard isomorphism, programming at type level. ... compare types of any kinds in haskell (bsd3, dependent-types, library) 2015-01-10: Kinokkory: cubical: ... Decidable propositions. For example, in the hypothetical dependent Haskell, the function to produce a list with n copies of a given value could have the following signature 2 0 obj )Instead of writing a long response inline in Reddit, it seems best to address the (very knowledgeable, respectful, and all around heartening) debate here. stream HIGHLY INFLUENCED. Developed to be suitable for teaching, research and industrial application, Haskell has pioneered a number of advanced programming language features such as type classes, which enable type-safe operator overloading. Stephanie Weirich is a Professor of Computer and Information Science at the University of Pennsylvania. Stephanie Weihrich, Dependent Types in Haskell WHY SHOULD PROGRAMMERS CARE ABOUT DEPENDENT TYPES? type systems, machine-assisted theorem proving and dependent We compared this to the syntax of other langauges like Java and Python. 50 packages have this tag. Cornell University in 2002. Haskell, as implemented in the Glasgow Haskell Compiler (GHC), has been adding new type-level programming features for some time. We saw that this is a more difficult process in other languages. Haskell's kind-of-dependent-types extensions are great for elegantly expressing things that once upon a time would rely on sophisticated phantom types and crazy type class magic, but actually dependently-typed programming is not really the same thing. Packages tagged dependent-types. ... compare types of any kinds in haskell (bsd3, dependent-types, library) 2015-01-10: Kinokkory: cubical: ... Decidable propositions. A Speci cation for Dependent Types in Haskell. Dr. Weirich has served as the program chair of POPL 2019, ICFP 2010 and the 2009 Haskell Symposium. xÚmTËâ0¼ç+¼$æÀà$0 ãö