Graded modal type granule
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 … 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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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 ... 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.
WebGraded Modal Dependent Type Theory (ESOP 2024) Close. 13. Posted by. Pikelet, Fathom. 11 months ago. Archived. Graded Modal Dependent Type Theory (ESOP 2024) 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 ...
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 ... 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 …
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 …
Web2 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 ... dating my daughter pc downloadWebwith graded modal types. We briefly discuss our implementation involving this new operation for the graded modal language Granule. 1 Introduction Linear logic separates … bj\\u0027s brewhouse beavercreekWebMeeting 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. dating my daughter codeWebDec 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 … dating my daughter chapter 5WebTL;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 … bj\\u0027s brewhouse beachwoodWebgraded 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 … dating my daughter official website gameWebvarious 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 dating my daughter cheat code