Graded modal type granule
WebMar 24, 2024 · This paper shows how graded modal types can be leveraged alongside session types to enable various non-linear concurrency behaviours to be re-introduced in a precise manner in a type system with a linear basis. The ideas here are demonstrated using Granule, a functional programming language with linear, indexed, and graded modal … WebTL;DR: This work proposes the umbrella notion of graded modal types, encompassing coeffect types and dual notions of type-based effect reasoning via graded monads, and …
Graded modal type granule
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WebDec 30, 2024 · The recent notion of graded modal types provides a framework for extending type theories with fine-grained data-flow reasoning. The Granule language … WebGraded Modal Dependent Type Theory (ESOP 2024) Close. 13. Posted by. Pikelet, Fathom. 11 months ago. Archived. Graded Modal Dependent Type Theory (ESOP 2024)
Webvarious modal logics. Several research languages, such as Idris 2 [Brady2024] and Agda [Agda-Team 2024], are starting to adopt ideas from this domain, and new systems like Granule [Orchard et al. 2024] are being developed to explore its possibilities. Our concrete motivation for studying graded type systems is a desire to merge Haskell’s current WebWe would like to show you a description here but the site won’t allow us.
WebGraded Modal Types family of modalities where is drawn from a pre-ordered semiring rA r (ℛ,*,1,+,0, ⊑ ) generalises to… generalises to…? 2/13 Granule Linear Types (data as a resource) Graded Modal Types (quantitative reasoning) Indexed Types (precision) 3/13 Demonstration 4/13 The Problem push : forall {a b : Type, s : Semiring, r : s} . Webwith graded modal types. We briefly discuss our implementation involving this new operation for the graded modal language Granule. 1 Introduction Linear logic separates …
Webgraded modal types provide an expressive type theory for quantitative program reasoning, advancing the reach of type systems to capture and verify a broader set of program properties. We demonstrate this approach via a type system embodied in a …
Webgraded modal types provide an expressive type theory for quantitative program reasoning, advancing the reach of type systems to capture and verify a broader set of program properties. We demonstrate this approach via a type system embodied in a fully-ledged functional language called Granule, exploring various examples. popular books in the 1940sWebDec 30, 2024 · The Granule language explores this idea in the context of linear types. In this practical setting, we observe that the presence of graded modal types can introduce an additional impediment when programming: when composing programs, it is often necessary to 'distribute' data types over graded modalities, and vice versa. sharkey county mississippi populationWebThe popularity of graded types is growing and their practical implications are being explored in research languages (e.g. Granule), and popular functional languages (e.g. Haskell [3] … sharkey county mississippi mapWebThis video was recorded at Code Mesh LDN 19 - http://bit.ly/37xc3NrGet involved in Code Sync's next conference - http://bit.ly/2Mcm4aS---QUANTITATIVE PROGRAM... popular books in the 1980sWebHere, we propose the umbrella notion of graded modal types, encompassing coeffect types and dual notions of type-based effect reasoning via graded monads. In combination with linear and indexed types, we show that graded modal types provide an expressive type theory for quantitative program reasoning, advancing the reach of type systems to ... popular books in the philippinesWebNov 8, 2024 · Granule combines linear types with lightweight dependent types and graded modal types, providing a rich type system for enforcing fine-grained resource constraints on top of a functional language in the style of Haskell/ML. ... Graded modal type theory; GADTs and indexed types and their interaction with linearity and grading; Examples uses ... popular books in the 80sWebproperties. Granule’s type system combines linear types, indexed types (lightweight dependent types), and graded modal types to enable novel quantitative reasoning. Linear types treat data like a physical resource which must be used once, and then never again [Girard1987;Wadler1990]. For example, the identity function is linearly typed as it ... popular books from 2016