The Langf Type System 1 Introduction 2 Langf Abstract Syntax
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ECSS-E-TM-40-07 Volume 2A 25 January 2011
ECSS-E-TM-40-07 Volume 2A 25 January 2011 Space engineering Simulation modelling platform - Volume 2: Metamodel ECSS Secretariat ESA-ESTEC Requirements & Standards Division Noordwijk, The Netherlands ECSS‐E‐TM‐40‐07 Volume 2A 25 January 2011 Foreword This document is one of the series of ECSS Technical Memoranda. Its Technical Memorandum status indicates that it is a non‐normative document providing useful information to the space systems developers’ community on a specific subject. It is made available to record and present non‐normative data, which are not relevant for a Standard or a Handbook. Note that these data are non‐normative even if expressed in the language normally used for requirements. Therefore, a Technical Memorandum is not considered by ECSS as suitable for direct use in Invitation To Tender (ITT) or business agreements for space systems development. Disclaimer ECSS does not provide any warranty whatsoever, whether expressed, implied, or statutory, including, but not limited to, any warranty of merchantability or fitness for a particular purpose or any warranty that the contents of the item are error‐free. In no respect shall ECSS incur any liability for any damages, including, but not limited to, direct, indirect, special, or consequential damages arising out of, resulting from, or in any way connected to the use of this document, whether or not based upon warranty, business agreement, tort, or otherwise; whether or not injury was sustained by persons or property or otherwise; and whether or not loss was sustained from, or arose out of, the results of, the item, or any services that may be provided by ECSS. -
Typescript Language Specification
TypeScript Language Specification Version 1.8 January, 2016 Microsoft is making this Specification available under the Open Web Foundation Final Specification Agreement Version 1.0 ("OWF 1.0") as of October 1, 2012. The OWF 1.0 is available at http://www.openwebfoundation.org/legal/the-owf-1-0-agreements/owfa-1-0. TypeScript is a trademark of Microsoft Corporation. Table of Contents 1 Introduction ................................................................................................................................................................................... 1 1.1 Ambient Declarations ..................................................................................................................................................... 3 1.2 Function Types .................................................................................................................................................................. 3 1.3 Object Types ...................................................................................................................................................................... 4 1.4 Structural Subtyping ....................................................................................................................................................... 6 1.5 Contextual Typing ............................................................................................................................................................ 7 1.6 Classes ................................................................................................................................................................................. -
A System of Constructor Classes: Overloading and Implicit Higher-Order Polymorphism
A system of constructor classes: overloading and implicit higher-order polymorphism Mark P. Jones Yale University, Department of Computer Science, P.O. Box 2158 Yale Station, New Haven, CT 06520-2158. [email protected] Abstract range of other data types, as illustrated by the following examples: This paper describes a flexible type system which combines overloading and higher-order polymorphism in an implicitly data Tree a = Leaf a | Tree a :ˆ: Tree a typed language using a system of constructor classes – a mapTree :: (a → b) → (Tree a → Tree b) natural generalization of type classes in Haskell. mapTree f (Leaf x) = Leaf (f x) We present a wide range of examples which demonstrate mapTree f (l :ˆ: r) = mapTree f l :ˆ: mapTree f r the usefulness of such a system. In particular, we show how data Opt a = Just a | Nothing constructor classes can be used to support the use of monads mapOpt :: (a → b) → (Opt a → Opt b) in a functional language. mapOpt f (Just x) = Just (f x) The underlying type system permits higher-order polymor- mapOpt f Nothing = Nothing phism but retains many of many of the attractive features that have made the use of Hindley/Milner type systems so Each of these functions has a similar type to that of the popular. In particular, there is an effective algorithm which original map and also satisfies the functor laws given above. can be used to calculate principal types without the need for With this in mind, it seems a shame that we have to use explicit type or kind annotations. -
Python Programming
Python Programming Wikibooks.org June 22, 2012 On the 28th of April 2012 the contents of the English as well as German Wikibooks and Wikipedia projects were licensed under Creative Commons Attribution-ShareAlike 3.0 Unported license. An URI to this license is given in the list of figures on page 149. If this document is a derived work from the contents of one of these projects and the content was still licensed by the project under this license at the time of derivation this document has to be licensed under the same, a similar or a compatible license, as stated in section 4b of the license. The list of contributors is included in chapter Contributors on page 143. The licenses GPL, LGPL and GFDL are included in chapter Licenses on page 153, since this book and/or parts of it may or may not be licensed under one or more of these licenses, and thus require inclusion of these licenses. The licenses of the figures are given in the list of figures on page 149. This PDF was generated by the LATEX typesetting software. The LATEX source code is included as an attachment (source.7z.txt) in this PDF file. To extract the source from the PDF file, we recommend the use of http://www.pdflabs.com/tools/pdftk-the-pdf-toolkit/ utility or clicking the paper clip attachment symbol on the lower left of your PDF Viewer, selecting Save Attachment. After extracting it from the PDF file you have to rename it to source.7z. To uncompress the resulting archive we recommend the use of http://www.7-zip.org/. -
Refinement Types for ML
Refinement Types for ML Tim Freeman Frank Pfenning [email protected] [email protected] School of Computer Science School of Computer Science Carnegie Mellon University Carnegie Mellon University Pittsburgh, Pennsylvania 15213-3890 Pittsburgh, Pennsylvania 15213-3890 Abstract tended to the full Standard ML language. To see the opportunity to improve ML’s type system, We describe a refinement of ML’s type system allow- consider the following function which returns the last ing the specification of recursively defined subtypes of cons cell in a list: user-defined datatypes. The resulting system of refine- ment types preserves desirable properties of ML such as datatype α list = nil | cons of α * α list decidability of type inference, while at the same time fun lastcons (last as cons(hd,nil)) = last allowing more errors to be detected at compile-time. | lastcons (cons(hd,tl)) = lastcons tl The type system combines abstract interpretation with We know that this function will be undefined when ideas from the intersection type discipline, but remains called on an empty list, so we would like to obtain a closely tied to ML in that refinement types are given type error at compile-time when lastcons is called with only to programs which are already well-typed in ML. an argument of nil. Using refinement types this can be achieved, thus preventing runtime errors which could be 1 Introduction caught at compile-time. Similarly, we would like to be able to write code such as Standard ML [MTH90] is a practical programming lan- case lastcons y of guage with higher-order functions, polymorphic types, cons(x,nil) => print x and a well-developed module system. -
Bidirectional Typing
Bidirectional Typing JANA DUNFIELD, Queen’s University, Canada NEEL KRISHNASWAMI, University of Cambridge, United Kingdom Bidirectional typing combines two modes of typing: type checking, which checks that a program satisfies a known type, and type synthesis, which determines a type from the program. Using checking enables bidirectional typing to support features for which inference is undecidable; using synthesis enables bidirectional typing to avoid the large annotation burden of explicitly typed languages. In addition, bidirectional typing improves error locality. We highlight the design principles that underlie bidirectional type systems, survey the development of bidirectional typing from the prehistoric period before Pierce and Turner’s local type inference to the present day, and provide guidance for future investigations. ACM Reference Format: Jana Dunfield and Neel Krishnaswami. 2020. Bidirectional Typing. 1, 1 (November 2020), 37 pages. https: //doi.org/10.1145/nnnnnnn.nnnnnnn 1 INTRODUCTION Type systems serve many purposes. They allow programming languages to reject nonsensical programs. They allow programmers to express their intent, and to use a type checker to verify that their programs are consistent with that intent. Type systems can also be used to automatically insert implicit operations, and even to guide program synthesis. Automated deduction and logic programming give us a useful lens through which to view type systems: modes [Warren 1977]. When we implement a typing judgment, say Γ ` 4 : 퐴, is each of the meta-variables (Γ, 4, 퐴) an input, or an output? If the typing context Γ, the term 4 and the type 퐴 are inputs, we are implementing type checking. If the type 퐴 is an output, we are implementing type inference. -
Lecture Slides
Outline Meta-Classes Guy Wiener Introduction AOP Classes Generation 1 Introduction Meta-Classes in Python Logging 2 Meta-Classes in Python Delegation Meta-Classes vs. Traditional OOP 3 Meta-Classes vs. Traditional OOP Outline Meta-Classes Guy Wiener Introduction AOP Classes Generation 1 Introduction Meta-Classes in Python Logging 2 Meta-Classes in Python Delegation Meta-Classes vs. Traditional OOP 3 Meta-Classes vs. Traditional OOP What is Meta-Programming? Meta-Classes Definition Guy Wiener Meta-Program A program that: Introduction AOP Classes One of its inputs is a program Generation (possibly itself) Meta-Classes in Python Its output is a program Logging Delegation Meta-Classes vs. Traditional OOP Meta-Programs Nowadays Meta-Classes Guy Wiener Introduction AOP Classes Generation Compilers Meta-Classes in Python Code Generators Logging Delegation Model-Driven Development Meta-Classes vs. Traditional Templates OOP Syntactic macros (Lisp-like) Meta-Classes The Problem With Static Programming Meta-Classes Guy Wiener Introduction AOP Classes Generation Meta-Classes How to share features between classes and class hierarchies? in Python Logging Share static attributes Delegation Meta-Classes Force classes to adhere to the same protocol vs. Traditional OOP Share code between similar methods Meta-Classes Meta-Classes Guy Wiener Introduction AOP Classes Definition Generation Meta-Classes in Python Meta-Class A class that creates classes Logging Delegation Objects that are instances of the same class Meta-Classes share the same behavior vs. Traditional OOP Classes that are instances of the same meta-class share the same behavior Meta-Classes Meta-Classes Guy Wiener Introduction AOP Classes Definition Generation Meta-Classes in Python Meta-Class A class that creates classes Logging Delegation Objects that are instances of the same class Meta-Classes share the same behavior vs. -
Programming with Gadts
Chapter 8 Programming with GADTs ML-style variants and records make it possible to define many different data types, including many of the types we encoded in System F휔 in Chapter 2.4.1: booleans, sums, lists, trees, and so on. However, types defined this way can lead to an error-prone programming style. For example, the OCaml standard library includes functions List .hd and List . tl for accessing the head and tail of a list: val hd : ’ a l i s t → ’ a val t l : ’ a l i s t → ’ a l i s t Since the types of hd and tl do not express the requirement that the argu- ment lists be non-empty, the functions can be called with invalid arguments, leading to run-time errors: # List.hd [];; Exception: Failure ”hd”. In this chapter we introduce generalized algebraic data types (GADTs), which support richer types for data and functions, avoiding many of the errors that arise with partial functions like hd. As we shall see, GADTs offer a num- ber of benefits over simple ML-style types, including the ability to describe the shape of data more precisely, more informative applications of the propositions- as-types correspondence, and opportunities for the compiler to generate more efficient code. 8.1 Generalising algebraic data types Towards the end of Chapter 2 we considered some different approaches to defin- ing binary branching tree types. Under the following definition a tree is either empty, or consists of an element of type ’a and a pair of trees: type ’ a t r e e = Empty : ’ a t r e e | Tree : ’a tree * ’a * ’a tree → ’ a t r e e 59 60 CHAPTER 8. -
Scala by Example (2009)
Scala By Example DRAFT January 13, 2009 Martin Odersky PROGRAMMING METHODS LABORATORY EPFL SWITZERLAND Contents 1 Introduction1 2 A First Example3 3 Programming with Actors and Messages7 4 Expressions and Simple Functions 11 4.1 Expressions And Simple Functions...................... 11 4.2 Parameters.................................... 12 4.3 Conditional Expressions............................ 15 4.4 Example: Square Roots by Newton’s Method................ 15 4.5 Nested Functions................................ 16 4.6 Tail Recursion.................................. 18 5 First-Class Functions 21 5.1 Anonymous Functions............................. 22 5.2 Currying..................................... 23 5.3 Example: Finding Fixed Points of Functions................ 25 5.4 Summary..................................... 28 5.5 Language Elements Seen So Far....................... 28 6 Classes and Objects 31 7 Case Classes and Pattern Matching 43 7.1 Case Classes and Case Objects........................ 46 7.2 Pattern Matching................................ 47 8 Generic Types and Methods 51 8.1 Type Parameter Bounds............................ 53 8.2 Variance Annotations.............................. 56 iv CONTENTS 8.3 Lower Bounds.................................. 58 8.4 Least Types.................................... 58 8.5 Tuples....................................... 60 8.6 Functions.................................... 61 9 Lists 63 9.1 Using Lists.................................... 63 9.2 Definition of class List I: First Order Methods.............. -
An Ontology-Based Semantic Foundation for Organizational Structure Modeling in the ARIS Method
An Ontology-Based Semantic Foundation for Organizational Structure Modeling in the ARIS Method Paulo Sérgio Santos Jr., João Paulo A. Almeida, Giancarlo Guizzardi Ontology & Conceptual Modeling Research Group (NEMO) Computer Science Department, Federal University of Espírito Santo (UFES) Vitória, ES, Brazil [email protected]; [email protected]; [email protected] Abstract—This paper focuses on the issue of ontological Although present in most enterprise architecture interpretation for the ARIS organization modeling language frameworks, a semantic foundation for organizational with the following contributions: (i) providing real-world modeling elements is still lacking [1]. This is a significant semantics to the primitives of the language by using the UFO challenge from the perspective of modelers who must select foundational ontology as a semantic domain; (ii) the and manipulate modeling elements to describe an Enterprise identification of inappropriate elements of the language, using Architecture and from the perspective of stakeholders who a systematic ontology-based analysis approach; and (iii) will be exposed to models for validation and decision recommendations for improvements of the language to resolve making. In other words, a clear semantic account of the the issues identified. concepts underlying Enterprise Modeling languages is Keywords: semantics for enterprise models; organizational required for Enterprise Models to be used as a basis for the structure; ontological interpretation; ARIS; UFO (Unified management, design and evolution of an Enterprise Foundation Ontology) Architecture. In this paper we are particularly interested in the I. INTRODUCTION modeling of this architectural domain in the widely- The need to understand and manage the evolution of employed ARIS Method (ARchitecture for integrated complex organizations and its information systems has given Information Systems). -
Marshmallow-Annotations Documentation Release 2.4.1
marshmallow-annotations Documentation Release 2.4.1 Alec Nikolas Reiter Jan 28, 2021 Contents 1 Installation 3 2 Content 5 Index 21 i ii marshmallow-annotations Documentation, Release 2.4.1 Version 2.4.1 (Change Log) marshmallow-annotations allows you to create marshmallow schema from classes with annotations on them: # music.py from typing import List class Album: id: int name: str def __init__(self, id: int, name: str): self.id= id self.name= name class Artist: id: int name: str albums: List[Album] def __init__(self, id: int, name: str, albums: List[Album]): self.id= id self.name= name self.albums= albums # schema.py from marshmallow_annotations import AnnotationSchema from.music import Album, Artist class AlbumScheme(AnnotationSchema): class Meta: target= Album register_as_scheme= True class ArtistScheme(AnnotationSchema): class Meta: target= Artist register_as_scheme= True scheme= ArtistScheme() scheme.dump( Artist( id=1, name="Abominable Putridity", albums=[ Album( id=1, name="The Anomalies of Artificial Origin" ) ] ) ) #{ # "albums": [ #{ # "id": 1, (continues on next page) Contents 1 marshmallow-annotations Documentation, Release 2.4.1 (continued from previous page) # "name": "The Anomalies of Artificial Origin" #} # ], # "id": 1, # "name": "Abominable Putridity" #} 2 Contents CHAPTER 1 Installation marshmallow-annotations is available on pypi and installable with: pip install marshmallow-annotations marshmallow-annotations supports Python 3.6+ and marshmallow 2.x.x Note: If you are install marshmallow-annotations outside of a virtual environment, consider installing with pip install --user marshmallow-annotations rather than using sudo or adminstrator privileges to avoid installing it into your system Python. 3 marshmallow-annotations Documentation, Release 2.4.1 4 Chapter 1. Installation CHAPTER 2 Content 2.1 Quickstart This guide will walk you through the basics of using marshmallow-annotations. -
Codata in Action
Codata in Action Paul Downen1, Zachary Sullivan1, Zena M. Ariola1, and Simon Peyton Jones2 1 University of Oregon, Eugene, USA?? [email protected], [email protected], [email protected] 2 Microsoft Research, Cambridge, UK [email protected] Abstract. Computer scientists are well-versed in dealing with data struc- tures. The same cannot be said about their dual: codata. Even though codata is pervasive in category theory, universal algebra, and logic, the use of codata for programming has been mainly relegated to represent- ing infinite objects and processes. Our goal is to demonstrate the ben- efits of codata as a general-purpose programming abstraction indepen- dent of any specific language: eager or lazy, statically or dynamically typed, and functional or object-oriented. While codata is not featured in many programming languages today, we show how codata can be eas- ily adopted and implemented by offering simple inter-compilation tech- niques between data and codata. We believe codata is a common ground between the functional and object-oriented paradigms; ultimately, we hope to utilize the Curry-Howard isomorphism to further bridge the gap. Keywords: codata · lambda-calculi · encodings · Curry-Howard · func- tion programming · object-oriented programming 1 Introduction Functional programming enjoys a beautiful connection to logic, known as the Curry-Howard correspondence, or proofs as programs principle [22]; results and notions about a language are translated to those about proofs, and vice-versa [17]. In addition to expressing computation as proof transformations, this con- nection is also fruitful for education: everybody would understand that the as- sumption \an x is zero" does not mean \every x is zero," which in turn explains the subtle typing rules for polymorphism in programs.