subtyping rule
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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 |
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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 |
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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 |
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Higher-order subtyping
The subtyping rule for bounded quantifiers is equally simple: r A < U I- S2 < T |
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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 |
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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 ... |
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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. |
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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 |
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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 |
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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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An Introduction to Subtyping
a subtype of INTEGER, one could substitute a value in the type [10 TO 20] and The above two requirements define the correct subtyping rule for procedures |
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CS 6110 S18 Lecture 23 Subtyping 1 Introduction 2 - Cornell CS
In Java, this is the type of null 2 1 Products and Sums The subtyping rules for product and sum types are quite intuitive: σ ≤ σ ′ |
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Subtypes chapter
An implementation hack for arrays resulted in a desire for this subtyping rule [ Joy98] Page 14 84 5 Understanding Subtypes The subtyping rules for object types |
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Subtyping - Harvard SEAS - Harvard University
Lecture 15: Subtyping Stephen •A subtyping relation T1 |
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Records and subtyping Lecture 16 Thursday, March - Harvard SEAS
25 mar 2010 · We extend the syntax, operational semantics, and typing rules of the We can express the principle of subtyping in a typing rule, often referred |
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Subtyping
what does it mean for a type τ to be a subtype of σ? -wherever a value of The rule of subsumption - explicit subtyping (with cast expression (σ)) Γ ⊢ (σ) e : σ |
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A On Subtyping-Relation Completeness, with an Application to Iso
The common subtyping rules for iso-recursive types—the “Amber rules”—are ing (via a subsumption rule in the type system) terms of some type τ1 to stand in |
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Lecture 14 — Subtyping - Washington
Or just use the subsumption rule multiple times Or both In any case, type- checking is no longer syntax-directed: There may be 0, 1, or many |
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Subtyping and Substitutivity
Subtyping 2 Subtyping and substitutability class Rectangle { private int x,y,w,h; New type-checking rule: If e : T and T |
