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A Nominal Theory of Objects with Dependent Types

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The Essence of Dependent Object Types

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Focusing on path-dependent types, the paper develops foundations for Scala from first principles. Starting from a simple calculus D-

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High-level languages allow programmers to express data structures and algorithms that abstract over the type of data they handle. This improves code reuse and makes it possible to develop general-purpose libraries. Yet, data abstractions slow down program ...

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Spores: A Type-Based Foundation for Closures in the Age of Concurrency and Distribution

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Functional programming (FP) is regularly touted as the way forward for bringing parallel, concurrent, and distributed programming to the mainstream. The popularity of the rationale behind this viewpoint (immutable data transformed by function application) ...

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On type I blow up formation for the critical NLW

Joachim Krieger, Willie Wai Yeung Wong

We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on R^{3+1}, that is adapted to continuation past type II singularities. We show that the weak extension leads to type I singularity fo ...

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Additional Material for "Unifying Data Representation Transformations"

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This report shows an attempt to formalize the data representation transformation mechanism in the ``Unifying Data Representation Transformations'' paper. Since the mechanism described in the paper is targeted at the Scala programming language and the speci ...

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Complete Completion using Types and Weights

Viktor Kuncak, Tihomir Gvero, Ivan Kuraj, Ruzica Piskac

Developing modern software typically involves composing functionality from existing libraries. This task is difficult because libraries may expose many methods to the developer. To help developers in such scenarios, we present a technique that synthesizes ...

ACM2013

Spores, Formally

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A Flow-Insensitive, Modular Effect System for Purity

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This article presents a modular, flow-insensitive type-and- effect system for purity with lightweight annotations. It does not enforce a global programming discipline and allows ar- bitrary effects to occur in impure parts of the program. The system is des ...

2013

Dependent Object Types

Martin Odersky, Nada Amin

We propose a new type-theoretic foundation of Scala and languages like it: the Dependent Object Types (DOT) calculus. DOT models Scala’s path-dependent types, abstract type members and its mixture of nominal and structural typing through the use of reﬁneme ...

2012

On Complete Completion using Types and Weights

Viktor Kuncak, Tihomir Gvero, Ivan Kuraj, Ruzica Piskac

Developing modern software applications typically involves composing functionality from existing libraries. This task is difficult because libraries may expose many methods to the developer. To help developers in such scenarios, we present a technique that ...

2012