Strategic polymorphism requires just two combinators!

In previous work, we introduced the notion of functional strategies: first-class generic functions that can traverse terms of any type while mixing uniform and type-specific behaviour. Functional strategies transpose the notion of term rewriting strategies (with coverage of traversal) to the functional programming paradigm. Meanwhile, a number of Haskell-based models and combinator suites were proposed to support generic programming with functional strategies. In the present paper, we provide a compact and matured reconstruction of functional strategies. We capture strategic polymorphism by just two primitive combinators. This is done without commitment to a specific functional language. We analyse the design space for implementational models of functional strategies. For completeness, we also provide an operational reference model for implementing functional strategies (in Haskell). We demonstrate the generality of our approach by reconstructing representative fragments of the Strafunski library for functional strategies.Comment: A preliminary version of this paper was presented at IFL 2002, and included in the informal preproceedings of the worksho

Meta-F*: Proof Automation with SMT, Tactics, and Metaprograms

We introduce Meta-F*, a tactics and metaprogramming framework for the F* program verifier. The main novelty of Meta-F* is allowing the use of tactics and metaprogramming to discharge assertions not solvable by SMT, or to just simplify them into well-behaved SMT fragments. Plus, Meta-F* can be used to generate verified code automatically. Meta-F* is implemented as an F* effect, which, given the powerful effect system of F*, heavily increases code reuse and even enables the lightweight verification of metaprograms. Metaprograms can be either interpreted, or compiled to efficient native code that can be dynamically loaded into the F* type-checker and can interoperate with interpreted code. Evaluation on realistic case studies shows that Meta-F* provides substantial gains in proof development, efficiency, and robustness.Comment: Full version of ESOP'19 pape

Strategic polymorphism requires just two combinators!

In previous work, we introduced the notion of functional strategies: first-class generic functions that can traverse terms of any type while mixing uniform and type-specific behaviour. Functional strategies transpose the notion of term rewriting strategies (with coverage of traversal) to the functional programming paradigm. Meanwhile, a number of Haskell-based models and combinator suites were proposed to support generic programming with functional strategies. In the present paper, we provide a compact and matured reconstruction of functional strategies. We capture strategic polymorphism by just two primitive combinators. This is done without commitment to a specific functional language. We analyse the design space for implementational models of functional strategies. For completeness, we also provide an operational reference model for implementing functional strategies (in Haskell). We demonstrate the generality of our approach by reconstructing representative fragments of the Strafunski library for functional strategies

Aspectual Coercion and Logical Polysemy

Recent work in computational semantics and lexical semantics has made an interesting shift. Motivated by a concern for lexical organization and global coherence in the structure of the lexicon, some researchers have moved towards more expressive semantic descriptions, as well as more powerful methods of composition. There has been some concern expressed, however, as to the general applicability of type-changing operations such as coercion, as well as concerning the power of generative mechanisms operating in the lexicon and semantics. In this paper, we address these concerns directly, and show that, upon closer examination, these critiques are not substantiated by the linguistic data. Without a proper notion of constraints on coercion, however, there can indeed be overgeneration of interpretations in the semantics, and in fact the notion of conditions on coercion has always been integral to the basic spirit of generative lexicons. In particular, we examine the constraints on type coercion in complement constructions of aspectual predicates in English and French. What we discover is a natural explanation for the behavior of coercion that makes reference to different types of event selection while also addressing the polysemous nature of aspectual verb

Practical Datatype Specializations with Phantom Types and Recursion Schemes

Datatype specialization is a form of subtyping that captures program invariants on data structures that are expressed using the convenient and intuitive datatype notation. Of particular interest are structural invariants such as well-formedness. We investigate the use of phantom types for describing datatype specializations. We show that it is possible to express statically-checked specializations within the type system of Standard ML. We also show that this can be done in a way that does not lose useful programming facilities such as pattern matching in case expressions.Comment: 25 pages. Appeared in the Proc. of the 2005 ACM SIGPLAN Workshop on M

Strong Normalization of MLF via a Calculus of Coercions

MLF is a type system extending ML with first-class polymorphism as in system F. The main goal of the present paper is to show that MLF enjoys strong normalization, i.e. it has no infinite reduction paths. The proof of this result is achieved in several steps. We first focus on xMLF, the Church-style version of MLF, and show that it can be translated into a calculus of coercions: terms are mapped into terms and instantiations into coercions. This coercion calculus can be seen as a decorated version of system F, so that the simulation results entails strong normalization of xMLF through the same property of system F. We then transfer the result to all other versions of MLF using the fact that they can be compiled into xMLF and showing there is a bisimulation between the two. We conclude by discussing what results and issues are encountered when using the candidates of reducibility approach to the same problem

Staattisesti tyypitetyt ohjelmointikielet JavaScript-ekosysteemissä: tyyppijärjestelmien näkökulma

JavaScript is a ubiquitous programming language with usage in web, mobile applications and server software. The status of the language as the de-facto programming language of the web has made the language ecosystem advanced with a great number of userspace libraries and major companies working on efficient runtime systems. The core language, however, has numerous known difficulties caused by the initial design and persisted by the requirements for backwards-compatibility. In the last decade, a number of programming languages have chosen JavaScript as the compile target of the language. Type theory and its application, programming language type systems, is an essential area of study in the design of programming languages. Every high-level programming language features a type system that greatly influences the ways of designing and implementing programs in the language. This thesis examines a group of selected statically-typed programming languages that compile to JavaScript. The core topics of research in this thesis are the motivation for new JS-compiled languages, the type system design of the languages, and the future direction of the JavaScript ecosystem based on the current trends and parallels to other programming ecosystems. The results of the work include identifying several trends in type systems for the JS ecosystem and the web. These include unsound yet convenient partially inferred type systems for object-oriented and multi-paradigm programming and fully inferred extended Hindley-Milner type systems for primarily functional programming languages. Additionally, different options for the advancement of the programming ecosystem, including type annotations, inference of dynamically typed languages and new compile targets, are explored. Finally, based on the design choices of the languages researched, we provide several recommendations for safe and productive statically typed programming in the JavaScript ecosystem.JavaScript on laajalti käytetty ohjelmointikieli, jonka käyttö ulottuu web- ja mobiilisovelluksiin sekä palvelinohjelmistoon. Kielen asema web-kehityksen de-facto-ohjelmointikielenä on luonut sen ympärille laajan ohjelmistoekosysteemin, joka kattaa suuren määrän ohjelmistokirjastoja sekä tehokkaita ajoympäristöjä. Itse kieli aiheuttaa tästä huolimatta vaikeuksia alkuperäisten suunnitteluvirheiden ja vaaditun taaksepäinyhteensopivuuden vuoksi. Viimeisen vuosikymmenen aikana useampi ohjelmointikieli on alkanut käyttää JavaScriptia käännöskohteenaan. Tyyppiteoria ja sen sovellus, ohjelmointikielten tyyppijärjestelmät, on tärkeä tutkimusala liittyen ohjelmointikielten suunnitteluun. Tyyppijärjestelmä on osa jokaista korkean tason ohjelmoinikieltä ja vaikuttaa täten suuresti itse ohjelmointikielen muihin ominaisuuksiin ja käyttöön. Tämä tutkimus käsittelee joukkoa staattisesti tyypitettyjä ohjelmointikieliä, jotka kääntyvät JavaScript-koodiksi. Tutkimuksen ytimessä ovat uusien kielten kehityksen motiivit, kielten tyyppijärjestelmien suunnittelu ja ominaisuudet sekä JavaScript-ekosysteemin mahdolliset tulevaisuuden suunnat. Työn tuloksena tunnistamme useita trendejä tyyppijärjestelmien suunnittelussa JavaScript-ekosysteemiin. Näihin kuuluu käytännölliset, mutta teoriassa epäturvalliset tyyppijärjestelmät olio- ja moniparadigmaohjelmoinkieliin sekä funktionaalisten ohjelmointikielien Hindley-Milner-pohjaiset tyyppijärjestelmät, joissa muuttujien tyypit pystytään täysin päättelemään ilman ohjelman kirjoittajan annotaatioita. Lisäksi nostamme esiin useita tulevaisuuden suuntia, jotka voisivat viedä JS-ekosysteemiä eteenpäin. Näihin kuuluvat tyyppiannotaatiot, dynaamisten kielten tyyppi-inferenssi ja uudet käännöskohteet web-ekosysteemiin. Lopuksi annamme tutkimuksen perusteella suosituksia ominaisuuksista ja suunnitteluratkaisuista, jotka voisivat mahdollistaa tehokkaan ja turvallisen ohjelmistokehityksen JavaScript-ekosysteemissä tulevaisuudessa