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
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