Graded modal type granule
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 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} .
Graded modal type granule
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WebNov 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 ... WebWe develop a type-directed synthesis tool for Granule, a functional language which combines indexed, linear, and graded modal types [32]. Granule supports various …
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 ... WebGerty. A minimal, dependently-typed programming language with graded types based on Graded Modal Dependent Type Theory (grtt). You can find more details about this type …
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 an additional impediment when programming: when composing programs, it is often necessary to 'distribute' data types over graded modalities, and vice versa. WebWe would like to show you a description here but the site won’t allow us.
WebThe 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] …
WebGerty 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 ... grantor annuity retained trustWebMeeting The Granule Project Meeting on Graded Types 17th June 2024 - School of Computing, University of Kent (+ online) Graded type systems can be understood broadly as imbuing type systems with additional information that follows the underlying structure of a program or proof. grantor and trustee of trustWebMar 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 … grantor and trustee the same personWebDec 30, 2024 · We use Granule since it is the main vehicle for the developments here, and introduce some of the key concepts of graded modal types (in a linear context) along the way. 1.1 Motivating Example Consider the situation of projecting the first element of a pair. chip gratis womWebGranule 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 … chip gray vfWebModal G-Codes Example. N10 G0 X30 Y5 (G0 is effective in this block) N20 X50 Y10 (No G-code specified, G0 remains effective) N30 G1 X30 F200 (G1 is effective from this … chip gratis antivirenprogrammWebDec 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 … grantor and guarantor