Luca Cardelli and the Early Evolution of ML
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The Effect of Compression and Expansion on Stochastic Reaction Networks
IMT School for Advanced Studies, Lucca Lucca, Italy The Effect of Compression and Expansion on Stochastic Reaction Networks PhD Program in Institutions, Markets and Technologies Curriculum in Computer Science and Systems Engineering (CSSE) XXXI Cycle By Tabea Waizmann 2021 The dissertation of Tabea Waizmann is approved. Program Coordinator: Prof. Rocco De Nicola, IMT Lucca Supervisor: Prof. Mirco Tribastone, IMT Lucca The dissertation of Tabea Waizmann has been reviewed by: Dr. Catia Trubiani, Gran Sasso Science Institute Prof. Michele Loreti, University of Camerino IMT School for Advanced Studies, Lucca 2021 To everyone who believed in me. Contents List of Figures ix List of Tables xi Acknowledgements xiii Vita and Publications xv Abstract xviii 1 Introduction 1 2 Background 6 2.1 Multisets . .6 2.2 Reaction Networks . .7 2.3 Ordinary Lumpability . 11 2.4 Layered Queuing Networks . 12 2.5 PEPA . 16 3 Coarse graining mass-action stochastic reaction networks by species equivalence 19 3.1 Species Equivalence . 20 3.1.1 Species equivalence as a generalization of Markov chain ordinary lumpability . 27 3.1.2 Characterization of SE for mass-action networks . 27 3.1.3 Computation of the maximal SE and reduced net- work . 28 vii 3.2 Applications . 31 3.2.1 Computational systems biology . 31 3.2.2 Epidemic processes in networks . 33 3.3 Discussion . 36 4 DiffLQN: Differential Equation Analysis of Layered Queuing Networks 37 4.1 DiffLQN .............................. 38 4.1.1 Architecture . 38 4.1.2 Capabilities . 38 4.1.3 Syntax . 39 4.2 Case Study: Client-Server dynamics . 41 4.3 Discussion . -
Type Checking Physical Frames of Reference for Robotic Systems
PhysFrame: Type Checking Physical Frames of Reference for Robotic Systems Sayali Kate Michael Chinn Hongjun Choi Purdue University University of Virginia Purdue University USA USA USA [email protected] [email protected] [email protected] Xiangyu Zhang Sebastian Elbaum Purdue University University of Virginia USA USA [email protected] [email protected] ABSTRACT Engineering (ESEC/FSE ’21), August 23–27, 2021, Athens, Greece. ACM, New A robotic system continuously measures its own motions and the ex- York, NY, USA, 16 pages. https://doi.org/10.1145/3468264.3468608 ternal world during operation. Such measurements are with respect to some frame of reference, i.e., a coordinate system. A nontrivial 1 INTRODUCTION robotic system has a large number of different frames and data Robotic systems have rapidly growing applications in our daily life, have to be translated back-and-forth from a frame to another. The enabled by the advances in many areas such as AI. Engineering onus is on the developers to get such translation right. However, such systems becomes increasingly important. Due to the unique this is very challenging and error-prone, evidenced by the large characteristics of such systems, e.g., the need of modeling the phys- number of questions and issues related to frame uses on developers’ ical world and satisfying the real time and resource constraints, forum. Since any state variable can be associated with some frame, robotic system engineering poses new challenges to developers. reference frames can be naturally modeled as variable types. We One of the prominent challenges is to properly use physical frames hence develop a novel type system that can automatically infer of reference. -
Dynamic Extension of Typed Functional Languages
Dynamic Extension of Typed Functional Languages Don Stewart PhD Dissertation School of Computer Science and Engineering University of New South Wales 2010 Supervisor: Assoc. Prof. Manuel M. T. Chakravarty Co-supervisor: Dr. Gabriele Keller Abstract We present a solution to the problem of dynamic extension in statically typed functional languages with type erasure. The presented solution re- tains the benefits of static checking, including type safety, aggressive op- timizations, and native code compilation of components, while allowing extensibility of programs at runtime. Our approach is based on a framework for dynamic extension in a stat- ically typed setting, combining dynamic linking, runtime type checking, first class modules and code hot swapping. We show that this framework is sufficient to allow a broad class of dynamic extension capabilities in any statically typed functional language with type erasure semantics. Uniquely, we employ the full compile-time type system to perform run- time type checking of dynamic components, and emphasize the use of na- tive code extension to ensure that the performance benefits of static typing are retained in a dynamic environment. We also develop the concept of fully dynamic software architectures, where the static core is minimal and all code is hot swappable. Benefits of the approach include hot swappable code and sophisticated application extension via embedded domain specific languages. We instantiate the concepts of the framework via a full implementation in the Haskell programming language: providing rich mechanisms for dy- namic linking, loading, hot swapping, and runtime type checking in Haskell for the first time. We demonstrate the feasibility of this architecture through a number of novel applications: an extensible text editor; a plugin-based network chat bot; a simulator for polymer chemistry; and xmonad, an ex- tensible window manager. -
Why Dependent Types Matter
Why Dependent Types Matter Thorsten Altenkirch Conor McBride James McKinna The University of Nottingham The University of St Andrews {txa,ctm}@cs.nott.ac.uk [email protected] Abstract We exhibit the rationale behind the design of Epigram, a dependently typed programming language and interactive program development system, using refinements of a well known program—merge sort—as a running example. We discuss its relationship with other proposals to introduce aspects of dependent types into functional programming languages and sketch some topics for further work in this area. 1. Introduction Types matter. That’s what they’re for—to classify data with respect to criteria which matter: how they should be stored in memory, whether they can be safely passed as inputs to a given operation, even who is allowed to see them. Dependent types are types expressed in terms of data, explicitly relating their inhabitants to that data. As such, they enable you to express more of what matters about data. While conventional type systems allow us to validate our programs with respect to a fixed set of criteria, dependent types are much more flexible, they realize a continuum of precision from the basic assertions we are used to expect from types up to a complete specification of the program’s behaviour. It is the programmer’s choice to what degree he wants to exploit the expressiveness of such a powerful type discipline. While the price for formally certified software may be high, it is good to know that we can pay it in installments and that we are free to decide how far we want to go. -
PDF (Ved-Editor+Html2pdf)
Free, Revised (slightly extended), Version of 1978 Book (goo.gl/AJLDih) HTML and PDF Afterthoughts (2015 onwards): Minor updates: 2018, Feb 2019, Jun 2019 PDF version with contents list in side-panel (if supported by viewer). PDF page numbers may change after further editing -- so don’t use them for reference! (5 Sep 2017: increased font size) JUMP TO TABLE OF CONTENTS 1978 Book Cover I was not consulted about the cover. The book is mainly concerned with the biological, psychological and philosophical significance of virtual machinery. I did not know that the publishers had decided to associate it with paper tape devices until it was published. 1 1978 First Page Copyright: Aaron Sloman, 1978 (When the book went out of print all rights reverted to the author.) 2015: I hereby permit anyone to copy any or all of the contents of this book. The online version of this work is licensed under a Creative Commons Attribution 4.0 International License. If you use, or comment on, any of this please include a URL if possible, so that readers can see the original (or the latest version). For more freely available online books see http://onlinebooks.library.upenn.edu/ JUMP TO TABLE OF CONTENTS 2 Original front-matter -- 1978 HARVESTER STUDIES IN COGNITIVE SCIENCE General Editor: Margaret A. Boden Harvester Studies in Cognitive Science is a new series which will explore the nature of knowledge by way of a distinctive theoretical approach one that takes account of the complex structures and interacting processes that make thought and action possible. Intelligence can be studied from the point of view of psychology, philosophy, linguistics, pedagogy and artificial intelligence, and all these different emphases will be represented within the series. -
LFCS Now and Then
LFCS Now and Then Gordon Plotkin LFCS@30 Edinburgh, April, 2016 Gordon Plotkin LFCS Now and Then Origins of LFCS Logic programming Gordon Plotkin LFCS Now and Then Hope Park Square Gordon Plotkin LFCS Now and Then Hope Park Square Gordon Plotkin LFCS Now and Then Metamathematics Unit Gordon Plotkin LFCS Now and Then The James Clerk Maxwell Building JCMB, KB Gordon Plotkin LFCS Now and Then 5 Readers who take a narrow view on the automation of inductive theorem proving might be surprised that we discuss the waterfall. It is impossible,however,tobuildagoodin- ductive theorem prover without considering how to transformtheinductionconclusioninto the hypothesis (or, alternatively, how to recognize that a legitimate induction hypothesis can dispatch a subgoal). So we take the expansive view and discuss not just the induction principle and its heuristic control, but also the waterfall architecture that is effectively an integral part of the success. Boyer and Moore had met in August 1971, a year before the induction work started, when Boyer took up the position of a post-doctoral research fellow at theMetamathe- matics Unit of the University of Edinburgh. Moore was at that time starting the second year of his PhD studies in “the Unit”. Ironically, they were both from Texas and they had both come to Edinburgh from MIT. Boyer’s PhD supervisor, W. W. Bledsoe,from The University of Texas at Austin, spent 1970–71 on sabbatical at MIT, and Boyer ac- companied him and completed his PhD work there. Moore got his bachelor’s degree at MIT (1966–70) before going to Edinburgh for his PhD. -
A Brief Scientific Biography of Robin Milner
A Brief Scientific Biography of Robin Milner Gordon Plotkin, Colin Stirling & Mads Tofte Robin Milner was born in 1934 to John Theodore Milner and Muriel Emily Milner. His father was an infantry officer and at one time commanded the Worcestershire Regiment. During the second world war the family led a nomadic existence in Scotland and Wales while his father was posted to different parts of the British Isles. In 1942 Robin went to Selwyn House, a boarding Preparatory School which is normally based in Broadstairs, Kent but was evacuated to Wales until the end of the war in 1945. In 1947 Robin won a scholarship to Eton College, a public school whose fees were a long way beyond the family’s means; fortunately scholars only paid what they could afford. While there he learned how to stay awake all night solving mathematics problems. (Scholars who specialised in maths were expected to score 100% on the weekly set of problems, which were tough.) In 1952 he won a major scholarship to King’s College, Cambridge, sitting the exam in the Examinations Hall which is 100 yards from his present office. However, before going to Cambridge he did two years’ national military service in the Royal Engineers, gaining a commission as a second lieutenant (which relieved his father, who rightly suspected that Robin might not be cut out to be an army officer). By the time he went to Cambridge in 1954 Robin had forgotten a lot of mathematics; but nevertheless he gained a first-class degree after two years (by omitting Part I of the Tripos). -
Introduction to the Literature on Programming Language Design Gary T
Computer Science Technical Reports Computer Science 7-1999 Introduction to the Literature On Programming Language Design Gary T. Leavens Iowa State University Follow this and additional works at: http://lib.dr.iastate.edu/cs_techreports Part of the Programming Languages and Compilers Commons Recommended Citation Leavens, Gary T., "Introduction to the Literature On Programming Language Design" (1999). Computer Science Technical Reports. 59. http://lib.dr.iastate.edu/cs_techreports/59 This Article is brought to you for free and open access by the Computer Science at Iowa State University Digital Repository. It has been accepted for inclusion in Computer Science Technical Reports by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Introduction to the Literature On Programming Language Design Abstract This is an introduction to the literature on programming language design and related topics. It is intended to cite the most important work, and to provide a place for students to start a literature search. Keywords programming languages, semantics, type systems, polymorphism, type theory, data abstraction, functional programming, object-oriented programming, logic programming, declarative programming, parallel and distributed programming languages Disciplines Programming Languages and Compilers This article is available at Iowa State University Digital Repository: http://lib.dr.iastate.edu/cs_techreports/59 Intro duction to the Literature On Programming Language Design Gary T. Leavens TR 93-01c Jan. 1993, revised Jan. 1994, Feb. 1996, and July 1999 Keywords: programming languages, semantics, typ e systems, p olymorphism, typ e theory, data abstrac- tion, functional programming, ob ject-oriented programming, logic programming, declarative programming, parallel and distributed programming languages. -
The History of Standard ML
The History of Standard ML DAVID MACQUEEN, University of Chicago, USA ROBERT HARPER, Carnegie Mellon University, USA JOHN REPPY, University of Chicago, USA Shepherd: Kim Bruce, Pomona College The ML family of strict functional languages, which includes F#, OCaml, and Standard ML, evolved from the Meta Language of the LCF theorem proving system developed by Robin Milner and his research group at the University of Edinburgh in the 1970s. This paper focuses on the history of Standard ML, which plays a central rôle in this family of languages, as it was the first to include the complete set of features that we now associate with the name “ML” (i.e., polymorphic type inference, datatypes with pattern matching, modules, exceptions, and mutable state). Standard ML, and the ML family of languages, have had enormous influence on the world of programming language design and theory. ML is the foremost exemplar of a functional programming language with strict evaluation (call-by-value) and static typing. The use of parametric polymorphism in its type system, together with the automatic inference of such types, has influenced a wide variety of modern languages (where polymorphism is often referred to as generics). It has popularized the idea of datatypes with associated case analysis by pattern matching. The module system of Standard ML extends the notion of type-level parameterization to large-scale programming with the notion of parametric modules, or functors. Standard ML also set a precedent by being a language whose design included a formal definition with an associated metatheory of mathematical proofs (such as soundness of the type system). -
A New Approach to Abstract Syntax with Variable Binding1
Formal Aspects of Computing (2002) 13: 341–363 c 2002 BCS A New Approach to Abstract Syntax with Variable Binding1 Murdoch J. Gabbay and Andrew M. Pitts Cambridge University Computer Laboratory, Cambridge, UK Keywords: Abstract syntax; Alpha-conversion; Permutation actions; Set theory; Structural induction Abstract. The permutation model of set theory with atoms (FM-sets), devised by Fraenkel and Mostowski in the 1930s, supports notions of ‘name-abstraction’ and ‘fresh name’ that provide a new way to represent, compute with, and reason about the syntax of formal systems involving variable-binding operations. In- ductively defined FM-sets involving the name-abstraction set former (together with Cartesian product and disjoint union) can correctly encode syntax modulo renaming of bound variables. In this way, the standard theory of algebraic data types can be extended to encompass signatures involving binding operators. In par- ticular, there is an associated notion of structural recursion for defining syntax-manipulating functions (such as capture avoiding substitution, set of free variables, etc.) and a notion of proof by structural induction, both of which remain pleasingly close to informal practice in computer science. 1. Introduction This paper presents a simple variant of classical set theory that turns out to be very convenient for developing the metamathematics of formal systems involving variable-binding operations. The main message we wish to get across is that a relatively small change to classical set theory, involving the use of atoms (or urelements, as they are often referred to), can reap great benefits for this aspect of metamathematics. In particular we will see that in such a set theory it is possible to represent α-equivalence classes of abstract syntax trees as the elements of an inductively defined set, rather than just the quotient of such a set. -
Incremental Type Inference for Software Engineering
Incremental Type Inference for Software Engineering Jonathan Aldrich University of Washington [email protected] Abstract The desire to use high-level language constructs while Software engineering focused type inference can enhance preserving a static type-safe guarantee drives programmer productivity in statically typed object- programmers to ask for ever-more powerful type systems. oriented languages. Type inference is a system of However, specifying a type that may be almost as long automatically inferring the argument and return types of and complicated as the function it describes can be a function. It provides considerable programming impractical. convenience, because the programmer can realize the benefits of a statically typed language without manually 1.2. Type Inference in ML entering the type annotations. We study the problem of type inference in object-oriented languages and propose In ML, it is possible for the compiler to analyze the an incremental, programmer-aided approach. Code is body of a function and infer the type of that function. For added one method at a time and missing types are example, a function that squares each of its arguments and inferred if possible. We present a specification and returns the sum of the squares clearly takes several algorithm for inferring simple object-oriented types in arguments of type int and yields an int in return (see this kind of incremental development environment. figure 1). - fun sumsqrs (x, y) = x*x + y*y; 1. Introduction val sumsqrs = fn : int * int -> int Type inference was popularized by the ML language [Milner et al., 1990]. ML is made up of functions and Figure 1. -
Luca Cardelli • Curriculum Vitae • 2014
Luca Cardelli • Curriculum Vitae • 2014 Short Bio Luca Cardelli was born near Montecatini Terme, Italy, studied at the University of Pisa (until 1978-07- 12), and has a Ph.D. in computer science from the University of Edinburgh(1982-04-01). He worked at Bell Labs, Murray Hill, from 1982-04-05 to 1985-09-20, and at Digital Equipment Corporation, Systems Research Center in Palo Alto, from 1985-09-30 to 1997-10-31, before assuming a position on 1997-11-03 at Microsoft Research, in Cambridge UK, where he was head of the Programming Principles and Tools andSecurity groups until 2012, and is currently a Principal Researcher. His main interests are in type theory and operational semantics (for applications to language design, semantics, and implementation), and in concurrency theory (for applications to computer networks and to modeling biological systems). He implemented the first compiler for ML (one of the most popular typed functional language, whose recent incarnations are Caml and F#) and one of the earliest direct-manipulation user-interface editors. He was a member of the Modula-3 design committee, and has designed a few experimental languages, including Obliq: a distributed higher- order scripting language (voted most influential POPL'95 paper 10 years later), and Polyphonic C#, a distributed extension of C#. His more protracted research activity has been in establishing the semantic and type-theoretic foundations of object-oriented languages, resulting in the 1996 book "A Theory of Objects" with Martin Abadi. More recently he has focused on modeling global and mobile computation, via the Ambient Calculus andSpatial Logics, which indirectly led to a current interest in Systems Biology , Molecular Programming, and Stochastic Systems.