Recursive subtyping for all

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Webb9 apr. 2016 · Our core contribution is an algorithm to generate a modal \mu -calculus formula that characterises all the supertypes (or subtypes) of a given type. Subtyping checks can then be off-loaded to model checkers, thus incidentally yielding an efficient algorithm to check safety of session types, soundly and completely.

What does "Recursive type bound" in Generics mean?

Webb14 mars 2024 · [POPL'23] Recursive Subtyping for AllLitao Zhou, Yaoda Zhou, Bruno C. d. S. OliveiraRecursive types and bounded quantification are prominent features in many... Webb21 feb. 2024 · Enabling recursive subtyping constraints is not a problem for the inference mechanisms presented here, but could be confusing for the programmer since they would allow to write down code elements (functions, for instance) that will be typable but whose usage will be rejected in all contexts. how to add another google wifi point

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Webba novel declarative specification for Amber-style iso-recursive subtyping. Informally, the specifi … WebbSubtyping in the presenc ofe recursive types for the A-calculus was studied by Amadio and Cardelli in 1991 (Amadio and Cardelli 1991) In that pape. r they showed that the problem … Webb11 nov. 2001 · This paper presents a type system with subtyping for Tom, that is compatible with Java's type system, and that performs both type checking and type inference, and proposes an algorithm that checks if all patterns of a Tom program are well-typed. 8 PDF View 1 excerpt, cites methods A 3-Part Type Inference Engine F. Pottier … metformin and high fiber diet

Recursive Subtyping for All Proceedings of the ACM on …

Recursive Subtyping Revealed - University of Edinburgh

Webb6 nov. 2002 · Algorithms for checking subtyping between recursive types lie at the core of many programming language implementations. But the fundamental theory of these … WebbRecursive types and bounded quantification are prominent features in many modern programming languages, such as Java, C#, Scala or TypeScript. Unfortunately, the … how to add another google drive accountWebb12 sep. 2011 · A recursive type is one that includes a function that uses that type itself as a type for some argument or its return value. In our example, compareTo(T other) is the … metformin and hypoglycemia risk

"Webbiso-recursive subtyping using the recently proposed nominal unfolding rules [Zhou et al. 2024]. The nominal unfolding rules have been formally proved to be type sound, and … " - Recursive subtyping for all

Recursive subtyping for all

WebbRecursive Subtyping Revealed Functional Pearl Vladimir Gapeyev Michael Y. Levin Benjamin C. Pierce Department of Computer and Information Science University of … WebbCalculi with subtyping, a form of record concatenation and recursive types are useful to model objects with multiple inheritance. Surprisingly, almost no existing calculi supports the three...

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WebbRecursive Subtyping for All Proceedings of the ACM on Programming Languages 2024-01-09 Journal article DOI: 10.1145/3571241 Contributors : Litao Zhou; Yaoda Zhou; Bruno C. d. S. Oliveira Show more detail Source : Crossref Revisiting Iso-Recursive Subtyping ACM Transactions on Programming Languages and Systems 2024-12-31 Journal article Webb13 jan. 2024 · Two practice talks for POPL 2024 Yaoda, Han Xu. Fri, Jan 13 2024, 10:10 AM • CB308. Making a Type Difference: Subtraction on Intersection Types as Generalized Record Operations

Webb[@pthariensflame] See #3987 for the discussion that led to this issue. [Migrated from ceylon/ceylon-spec#883] Webb27 apr. 2000 · Algorithms for checking subtyping between recursive types lie at the core of many modern programming language implementations. But the fundamental theory of these algorithms and how they relate...

WebbInformally, the specification states that two recursive types are subtypes if all their finite unfoldings are subtypes. The Amber rules are shown to be sound with respect to this declarative specification. We then derive a sound, complete and decidable algorithmic formulation of subtyping that employs a novel double unfolding rule. Webbset of all pairs of t yp es, so that subsets of U are relations on t yp es. But for the presen t discussion, an arbitrary set U will do.) The p o w erset of U, i.e., the set of all the subsets of U,iswritten P (). 2.1 De nition: A function F 2P (U)!P)is mono-tone if X Y implies F ()). In what follo ws, w e will assume that F is some monotone ...

WebbAn "end-to-end" introduction to recursive types and subtyping algorithms, from basic theory to efficient implementation, set in the unifying mathematical framework of coinduction. Algorithms for checking subtyping between recursive types lie at the core of many programming language implementations. But the fundamental theory of these …

WebbWhat is, then, subtyping for recursive types? The intuition is that two recursive types a and ~ are in subtype relation if their infinite unfoldings are in this relation, in an appropriate … metformin and imodium interactionWebb8 juni 2024 · 2.1 Session Types and Their Automata Representation. The formal syntax of two-party session types is given below. Notice that we follow the simplified notation used in, e.g., [6, 9, 13], which abstracts away from data carried by messages (payloads).This is done in order to focus on the key aspects of the session subtyping problem (as we will … metformin and how it worksWebbFor adding recursive types to a language with subtyping, it is desirable to have recursive subtyping between recursive types. The first rules for recursive subtyping, due … metformin and insulin combination therapyWebb,scala,subclass,instanceof,subtyping,Scala,Subclass,Instanceof,Subtyping,我需要检查y是否严格地是bar的一个实例，而不是foo。我如何在Scala中执行此操作 trait foo {} trait bar extends foo {} val x = new foo {} val y = new bar {} x.isInstanceOf[foo] // true x.isInstanceOf[bar] // false y.isInstanceOf[bar] // true y.isInstanceOf[foo] // true (but I want i metformin and ibuprofenWebbSubtyping and recursive types are common in modern programming languages. For example, Java [14] has a notion of subtyping by name based on explicit subtype declarations, and it allows interfaces to be mutually recursive, although there is no unfolding rule. In theoretical studies and experimental languages, one more often metformin and inositol safeWebb25 juli 2024 · We first briefly review applications of iso-recursive subtyping, introduce some alternative formulations for iso-recursive subtyping, and discuss some issues … metformin and itching skinWebbThis paper aims to revisit the problem of subtyping iso-recursive types. We start by introducing a novel declarative specification for Amber-style iso-recursive subtyping. Informally, the specification states that two recursive types are subtypes if all their finite unfoldings are subtypes. More formally, the subtyping rule for recursive types ... metformin and insulin sensitivity