Graded modal type granule
WebGraded Modal Dependent Type Theory (Grtt for short), which equips a dependent type theory with a general, parameterizable analysis of the flow of data, both in and between … 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 demonstrates this approach via a type system embodied in a fully-fledged functional language called Granule.
Graded modal type granule
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WebDec 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 … WebGranule is a functional programming language with a linear type system and fine-grained effects and coeffects via graded modal types. An introduction to Granule can …
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} . 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 …
WebMar 23, 2024 · Graded type theories are an emerging paradigm for augmenting the reasoning power of types with parameterizable, fine-grained analyses of program … Webgraded type systems have been designed which enforce prop-erties based on coeffects, where the inputs that can be passed into a program are the focus. Such systems (with …
WebHere, 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 ... bin busters langleyWebThe 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] … bin burton.comWebDec 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. cyrus heydarian breidenbacher hofWebgraded 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. bin butler gold coastWebDec 7, 2024 · Basic concepts. By default, the teacher selects numerical grades in Moodle from a range like 0–100. When advanced grading methods are enabled, the grade … cyrus hifi ukWeb2 A Brief Granule and Graded Modal Types Primer Granule’s type system is based on the linear λ-calculus augmented with graded modal types [16]. With linear typing as the basis, we cannot write functions that discard or duplicate their inputs as in a standard functional programming language. However, we can introduce non-linearity via graded ... cyrus hingstonWebGerty has some similarity to Granule [46]: both are functional languages with graded types. However, Granule has a linearly typed core and no dependent types (only indexed types), thus has no need for resource tracking at the type level (type indices are not subject to tracking and their syntax is restricted). 2 GrTT: Graded Modal Dependent ... bin burra lodge