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Saturday, August 8, 2020 | History

2 edition of **Domain theoretic models of polymorphism** found in the catalog.

Domain theoretic models of polymorphism

Thierry Coquand

- 79 Want to read
- 34 Currently reading

Published
**1987**
by University of Cambridge, Computer Laboratory in Cambridge
.

Written in English

**Edition Notes**

Statement | Thierry Coquand, Carl Gunter and Glynn Winskel. |

Series | Technical report -- No.116 |

Contributions | Gunter, Carl., Winskel, Glynn., University of Cambridge. Computer Laboratory. |

The Physical Object | |
---|---|

Pagination | 52p. |

Number of Pages | 52 |

ID Numbers | |

Open Library | OL13934403M |

Polymorphism OOP Solved MCQs. Lets us see the Polymorphism (OOP) Solved MCQs. 1. Which one is the best description of polymorphism? A. It is the ability for undefined message/data to be processed in at least one way. Polymorphism is not set-theoretic John Reynolds To cite this version: John Reynolds. Polymorphism is not set-theoretic. [Research Report] RR, INRIA. inria-Cited by:

Search the world's most comprehensive index of full-text books. My libraryMissing: Domain theoretic polymorphism. TAXONOMY, POLYMORPHISM, AND HISTORY 3 it is a crow. Here, the species is posited as an explanans. And it is thought that in order for a species to play this role, the members of the species must be uniform. For the above explanation to work, in other .

An Object Model of a system is a collection of classes and objects describing the relationships between them and the properties and methods contained within, in terms of the Object Oriented principles: Abstraction, Encapsulation, Inheritance and Polymorphism. A Domain Model is an Object Model describing the problem domain. Studies of the mathematical properties of impredicative polymorphic types have for the most part focused on the polymorphic lambda calculus of GirardReynolds, which is a calculus of total polymorph.

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Polymorphism can be interpreted in a constructive set theory [lS]. Until recently the only nontrivial models known were either term models or realisability models [7] or, following ideas of McCracken [17] and Scott, models based on a universal domain in which types are coded-up.

To address the second question, we examine the domain-theoretic model of System F given by Coquand, Gunter and Winskel [15]. From this we obtain a general framework to explain models.

In it a type is interpreted as a Scott domain. In fact, Domain theoretic models of polymorphism book universal types of the polymorphic λ-calculus as categories of continuous sections appears to be useful generally. For example, the technique also applies to the finitary projection model of Bruce and Longo, and a recent model of Girard.

NFORMATION AND COMPUTAT () Domain Theoretic Models of Polymorphism THIERRY COQUAND INRIA Rocquencourt, B.P.Le Chesnay Cedex, France CARL GUNTER Department of Computer and Information Science, University of Pennsylvania, Philadelphia, Pennsylvania AND GLYNN WINSKEL Computer Science Department, Aarhus University, Ny Cited by: DOMAIN THEORETIC MODELS OF POLYMORPHISM.

Thierry Coquand, Carl. Gunter and Glynn Winskel MS-CIS LlNC LAB Department of Computer and lnformation Science School of Engineering and Applied Science University of Pennsylvania Philadelphia, PA June To appear in a forth coming issue of the "lnformation and Computation "Cited by: In it a type is interpreted as a Scott domain.

In fact, understanding universal types of the polymorphic λ-calculus as categories of continuous sections appears to be useful generally. For example, the technique also applies to the finitary projection model of Bruce and Longo, and a recent model of by: We present a domain-theoretic model of parametric polymorphism based on admissible per’s over a domain-theoretic model of the untyped lambda calculus.

The model is shown to be a model of Abadi & Plotkin’s logic for parametricity, by the construction of an LAPL-structure as deﬁned by.

This model differs from the models of McCracken, Scott, that the types are interpreted (quite In this paper we investigate a model construction recently described by Jean Yves Girard.

dI-domains as a model of polymorphism | SpringerLinkCited by: Abstract We present a domain-theoretical model of parametric polymorphism based on admissible per’s over a domain-theoretical model of the untyped lambda calculus. The model is shown to be a model of Abadi & Plotkin’s logic for parametricity, by the.

R.E. MøgelbergInterpreting polymorphic FPC into domain theoretic models of parametric polymorphism Automata, Languages and Programming 33rd International Colloquium, ICALPVenice, Italy, July 10–14,Proceedings, Part II, Lecture Notes in Computer Science, vol.

Springer, Berlin, Heidelberg (), pp. Cited by: Of particu- lar interest is a model based on “admissible” pers over a reﬂexive domain, the the- ory of which can be seen as a domain theory for (impredicative) polymorphism.

We show how this model gives rise to a parametric and computationally adequate. Of particular interest is a model based on “admissible” pers over a reflexive domain, the theory of which can be seen as a domain theory for (impredicative) polymorphism.

Of particular interest is a model based on “admissible” pers over a reflexive domain, the theory of which can be seen as a domain theory for (impredicative) polymorphism. We show how this model gives rise to a parametric and computationally adequate model of PolyFPC, an extension of Cited by: 9. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We give an illustration of a construction useful in producing and describing models of Girard and Reynolds' polymorphic -calculus.

The key unifying ideas are that of a Grothendieck fibration and the category of continuous sections associated with it, constructions used in indexed category theory; the universal types. Domain Theoretic Models Of Polymorphism. By Thierry Coquand, Carl A. Gunter and Glynn Winskel.

Abstract. We give an illustration of a construction useful in producing and describing models of Girard and Reynolds' polymorphic -calculus. The key unifying ideas are that of a Grothendieck fibration and the category of continuous sections Cited by: Domain Theoretic Models of Polymorphism.

By Thierry Coquand, Carl A Gunter and Glynn Winskel. Abstract. We give an illustration of a construction useful in producing and describing models of Girard and Reynolds\u27 polymorphic λ-calculus.

The key unifying ideas are that of a Grothendieck fibration and the category of continuous sections. Domain theory gives an amazing theory of computability in the presence of simple types. But when parametric polymorphism is added there doesn't seem to be a nice theory that explains whats going on quite as nicely as domain theory explains computation over simple types.

Some researchers have developed domain theoretic models of polymorphism. Other researchers have also modeled parametric polymorphism within constructive set theories. Details are found in the textbooks listed below. A recent research area has involved denotational semantics for object and class based programming languages.

Of particular interest is a model based on “admissible ” pers over a reflexive domain, the theory of which can be seen as a domain theory for (impredicative) polymorphism. We show how this model gives rise to a parametric and computationally adequate model of PolyFPC, an extension of FPC with impredicative by: 9.

Domain Theory Corrected and expanded version Samson Abramsky1 and Achim Jung2 This text is based on the chapter Domain Theory in the Handbook of Logic in Com- puter Science, volume 3, edited by S.

Abramsky, Dov M. Gabbay, and T. Size: 1MB. Domain theoretic models of parametric polymorphism. Parametric polymorphism in functional programming languages with explicit polymorphism is the property that polymorphic programs behave the same way at all type instantiations.

In this dissertation we propose new category theoretic formulations of parametricity for models of the Author: Rasmus Ejlers Møgelberg and Phd Dissertation.Static and Dynamic Types Values have static types deﬁned by the programming language.

A variable may have a declared, static type. Variables and expressions have dynamic types determined by the values they assume at run time. Applet myApplet = new GameApplet(); declared, static type is Applet static type of value is GameAppletMissing: Domain theoretic.set-theoretic strict models.

Following a different approach, we investigate a notion of non-strict categorical models. These providea uniform framework in which one can describe various classes of non-strict models, including set-theoretic models with or without empty types, and Kripke-style models.

We show that com.