Graded modal type granule
WebDec 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 … WebGraded Modal Dependent Type Theory (ESOP 2024) Close. 13. Posted by. Pikelet, Fathom. 11 months ago. Archived. Graded Modal Dependent Type Theory (ESOP 2024)
Graded modal type granule
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WebWe would like to show you a description here but the site won’t allow us. WebMeeting 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.
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 …
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 ... 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 · 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.
WebThe recent idea of graded modal types provides a framework for extending type theories with quanti-tative reasoning principles. The Granule language explores this idea in the context of linear types. In this practical setting, when composing programs it is often necessary to distribute algebraic data types over graded modalities, and vice versa. some tips on learning english作文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 … small concealed carry backpack purseWebGerty 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 ... small computer writing deskWebBy clicking download,a status dialog will open to start the export process. The process may takea few minutes but once it finishes a file will be downloadable from your browser. You may continue to browse the DL while the export process is in progress. some to be apostles some to be teachersWebDec 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. some tips about learning databaseWebDec 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 … small comupter monitor touchscreenWebDec 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... small concealed carry