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@ -16,6 +16,72 @@ The board of examiners consists of |
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* Ohad Kammar (The University of Edinburgh) |
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* Ohad Kammar (The University of Edinburgh) |
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* Stephen Gilmore (The University of Edinburgh) |
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* Stephen Gilmore (The University of Edinburgh) |
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## Thesis structure |
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The dissertation is structured as follows. |
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### Background |
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* Chapter 2 defines some basic mathematical notation and |
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constructions that are they pervasively throughout this dissertation. |
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* Chapter 3 presents a literature survey of continuations and |
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first-class control. I classify continuations according to their |
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operational behaviour and provide an overview of the various |
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first-class sequential control operators that appear in the |
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literature. The application spectrum of continuations is discussed as |
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well as implementation strategies for first-class control. |
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### Programming |
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* Chapter 4 introduces a polymorphic fine-grain call-by-value core |
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calculus, λ<sub>b</sub>, which makes key use of Remy-style row polymorphism |
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to implement polymorphic variants, structural records, and a |
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structural effect system. The calculus distils the essence of the core |
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of the Links programming language. |
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* Chapter 5 presents three extensions of λ<sub>b</sub>, |
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which are λ<sub>h</sub> that adds deep handlers, λ<sup>†</sup> that adds shallow |
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handlers, and λ<sup>‡</sup> that adds parameterised handlers. The chapter |
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also contains a running case study that demonstrates effect handler |
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oriented programming in practice by implementing a small operating |
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system dubbed Tiny UNIX based on Ritchie and Thompson's original |
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UNIX. |
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### Implementation |
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* Chapter 6 develops a higher-order continuation passing |
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style translation for effect handlers through a series of step-wise |
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refinements of an initial standard continuation passing style |
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translation for λ<sub>b</sub>. Each refinement slightly modifies the notion |
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of continuation employed by the translation. The development |
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ultimately leads to the key invention of generalised continuation, |
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which is used to give a continuation passing style semantics to deep, |
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shallow, and parameterised handlers. |
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* Chapter 7 demonstrates an application of generalised continuations |
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to abstract machine as we plug generalised continuations into |
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Felleisen and Friedman's CEK machine to obtain an adequate abstract |
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runtime with simultaneous support for deep, shallow, and parameterised |
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handlers. |
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### Expressiveness |
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* Chapter 8 shows that deep, shallow, and parameterised notions of |
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handlers can simulate one another up to specific notions of |
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administrative reduction. |
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* Chapter 9 studies the fundamental efficiency of effect handlers. In |
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this chapter, we show that effect handlers enable an asymptotic |
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improvement in runtime complexity for a certain class of |
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functions. Specifically, we consider the *generic count* problem using |
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a pure PCF-like base language λ<sub>b</sub><sup>→</sup> (a simply typed variation of |
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λ<sub>b</sub>) and its extension with effect handlers λ<sub>h</sub><sup>→</sup>. We |
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show that λ<sub>h</sub><sup>→</sup> admits an asymptotically more efficient |
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implementation of generic count than any λ<sub>b</sub><sup>→</sup> implementation. |
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### Conclusions |
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* Chapter 10 concludes and discusses future work. |
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## Building |
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## Building |
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To build the dissertation you need the [Informatics thesis LaTeX |
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To build the dissertation you need the [Informatics thesis LaTeX |
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