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Outline of a Mathematical Theory of Computation

Dana Scott
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TLDR
However, Scott does realize that the approach argued for above is simply an argument for an approach that accomodates human understanding of computation and that the operational approach must not be ignored because the machines that the programs of study run on are not capable of dealing with such an abstract level of understanding.
Abstract
However, Scott does realize that the approach argued for above is simply an argument for an approach that accomodates human understanding of computation and that the operational approach must not be ignored because, as he points out, the machines that the programs of study run on are not capable of dealing with such an abstract level of understanding. That is, the computaional approach should not be abandoned because the machines that we build operate on that lower level.

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Linearly Ordered Topological Spaces and Weak Domain Representability

TL;DR: In this paper, it was shown that every linearly ordered topological space (LOTS) is homeomorphic to an open dense subset of a weak domain representable space, which means that weak domains representable spaces need not be Baire.
Book ChapterDOI

An Abstract Interpretation for ML Equality Kinds

TL;DR: A refinement of the Standard ML system of equality types is introduced and is proven sound and complete with respect to the existence of a computable equality.
Book ChapterDOI

On the concurrent semantics of algebraic graph grammars

TL;DR: A survey of some of the main technical contributions that made possible the development of a truly concurrent semantics for graph grammars, based on Winskel's style unfolding constructions as well as on suitable notions of processes.
Proceedings ArticleDOI

From algebras to programming languages

TL;DR: This paper gives an informal presentation of constructions which, when combined, enable one to construct high level programming languages from algebras or, equivalently, from collections of primitive operations on some set (e.g. from the arithmetic, vector and logical operations on the set of integers, integer vectors, and truth values).
Dissertation

Using class memory automata in algorithmic game semantics

TL;DR: This thesis aims to continue the classification of the fragments of the higher-order call-by-value language RML for which observational equivalence is decidable, and develops new variants of class memory automata that allow us to express and compare languages representing game semantic strategies.