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A category theory for programming languages
Mathematical Systems Theory, 1973The paper first shows how the categorical theory of sequences is useful in explaining properties of the (word) differentiation of Brzozowski (1964). Then, the paper shows how a more general theory of languages, including both procedural and functional languages, should be constructed by using a switch proposition that extends the common equivalence ...
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Array theory and the nial programming language
BIT, 1988The nested interactive array language Nial is based on a mathematical theory of hierarchical rectangular arrays known as array theory. This paper gives a brief introduction to array theory and Nial and then discusses the main characteristics of the Nial language, its current implementation and some of its applications.
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Toward a semiotic theory of programming languages
ACM SIGPLAN Notices, 1968Based on previous results in a variety of related areas, a schema is described to produce a unified semiotic theory specifically applicable to programming languages. An alternative to BNF-like descriptions is referred to, and the structure of the semantic and pragmatic components is outlined.
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Theories of Programming Languages
1998First published in 1998, this textbook is a broad but rigourous survey of the theoretical basis for the design, definition and implementation of programming languages and of systems for specifying and proving programme behaviour. Both imperative and functional programming are covered, as well as the ways of integrating these aspects into more general ...
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REMARKS ON THEORIES OF COMPUTATION AND SEMANTICS OF PROGRAMMING LANGUAGES
Kybernetes, 1978Theories of computation related to the semantics of programming languages, like those of McCarthy and Scott, rely on non‐constructive mathematical “ideas.” Turing's theory does not assume any mathematical “ideas.” In the approaches of Floyd, McCarthy and Scott the attempt is to develop a general theory of “meaning of programs” and then to consider the ...
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Programming Languages as Mathematical Theories
2010That computer science is somehow a mathematical activity was a view held by many of the pioneers of the subject, especially those who were concerned with its foundations. At face value it might mean that the actual activity of programming is a mathematical one. Indeed, at least in some form, this has been held.
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Applying Theories in Language Programs
2017Selected Topics in Applied Linguistics: How to Choose a Theory. I offer a critical exploration of some of the conditions involved in Instructed Second Language Acquisition (ISLA), as well as of the paradoxical approaches in the theoretical questions, methods, categories, and perspectives of ISLA.
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Theory of Programming Languages: Design and Implementation
2022The textbook has been prepared in accordance with the State educational Standard in the fields of "Computer Science and Computer Engineering" (09.03.01), "Applied Computer Science" (09.03.03) for the cycle of disciplines of information specialties.
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Problems in the Theory of Programming Languages
1968Publisher Summary The theory of programming languages is usually divided into syntax, semantics, and pragmatics. It is clear that for practical purposes, pragmatic problems are the most important. Consequently, most of the efforts in programming languages have been spent in this field.
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Universal domains in the theory of denotational semantics of programming languages
[1990] Proceedings. Fifth Annual IEEE Symposium on Logic in Computer Science, 2002The authors present a categorical generalization of a well-known result in model theory, the Fraisse-Jonsson theorem, by which they characterize large classes of reasonable categories if they contain universal homogeneous objects. As a first application, they derive from this, for various categories of bifinite domains and with embedding-projection ...
Manfred Droste, Rüdiger Göbel
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