[PDF] Subtyping Union Types Then a type can be

CS 6110 S18 Lecture 23 Subtyping 1 Introduction 2 Basic Subtyping

The subtyping rules governing the types 1 and 0 are interesting: • 1 (unit): Every type is a subtype of 1 that is

Subtyping Union Types

Then a type can be a subtype of another type if its denotation is included in the denotation of the other type. Using inference rules

Records and subtyping Lecture 16 Thursday March 25

https://www.seas.harvard.edu/courses/cs152/2010sp/lectures/lec16.pdf

Revisiting Iso-Recursive Subtyping

We then derive a sound complete and decidable algorithmic formulation of subtyping that employs a novel double unfolding rule. Compared to the Amber rules

Higher-order subtyping

The subtyping rule for bounded quantifiers is equally simple: r A < U I- S2 < T

Simplifying subtyping constraints

We strengthen Smith's subtyping rule by introducing a new powerful notion of entailment between constraint sets. We de ne it formally and give an algorithm 

The Duality of Subtyping

11 janv. 2022 In a design with Duotyping we only need 5 subtyping rules. ... DOT calculi require a built-in transitivity rule in subtyping because it is ...

CS 4120/5120 Lecture 11 Subtype Polymorphism 22 Feb 2016 1

22 févr. 2016 2 Subtyping Rules. The informal interpretation of the subtype relationship ?1 ? ?2 is that anything of type ?1 can be used in a.

5 Understanding Subtypes

SUBSUMPTION RULE type checker that an expression of a subtype can masquerade as an element of a supertype. Subtyping provides added flexibility in 

5 Understanding Subtypes

SUBSUMPTION RULE type checker that an expression of a subtype can masquerade as an element of a supertype. Subtyping provides added flexibility in 

CS153: Compilers Lecture 15: Subtyping - Harvard University

Subsumption Rule •When we add subtyping judgments of the form T

What are the subtyping rules for generics?

There are sub-typing rules for generics, and List is a subtype of the raw type List, but not of the parameterized type List (Item 28). A wildcard parameterized type is not a type in the regular sense (different from a non-parameterized class/interface or a raw type).

What are the two types of subtyping?

[citation needed] Implementations of programming languages with subtyping fall into two general classes: inclusiveimplementations, in which the representation of any value of type Aalso represents the same value at type Bif A