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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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Dissertation

Effective solutions of recursive domain equations

Akira Kanda
TL;DR: This dissertation is to provide a categorical method for obtaining effective solutions of recursive domain equations and to provide effective models of denotational semantics and algebraic data types.
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Well quasi-orders and the functional interpretation

TL;DR: The main focus is on the interpretation of Nash–Williams’ famous minimal bad sequence construction, and the exploration of a number of much broader problems which are related to this, particularly the question of the constructive meaning of Zorn’s lemma and the notion of recursion over the non-wellfounded lexicographic ordering on infinite sequences.
Journal ArticleDOI

Survey of long-term variability of stars. I. Reliability of magnitudes in old star catalogues

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Journal ArticleDOI

An enrichment theorem for an axiomatisation of categories of domains and continuous functions

TL;DR: An enrichment theorem is proved showing that every axiomatic domain-theoretic category can be endowed with an intensional notion of approximation, the path relation, with respect to which the category Cpo-enriches is endowed.
Book ChapterDOI

Formalized, Effective Domain Theory in Coq

TL;DR: This is the first development of domain theory that is effective, formalized and that supports all the usual constructions on domains and develops constructive models of both the unpointed profinite and the pointed profinite domains.