Isbn: 9783031348266 - programs as diagrams: from categorical computability to computable categories (theory and applications of computability) (16 resultados)

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    Editorial: Springer, 2023

    3031348265 / 9783031348266

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    Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach.Topics and features:Delivers a 'crash' diagram-based course in theory of computationUses single-instruction diagrammatic programming languageOffers a practical introduction into categories and string diagrams as computational toolsReveals how computability is programmability, rather than an 'ether' permeating computers Provides a categorical model of intensional computation is unique up to isomorphismServes as a stepping stone into research of computable categoriesIn addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research. Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands.…

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    Hardcover. Condición: Brand New. 269 pages. 9.25x6.10x0.83 inches. In Stock.

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    Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach.Topics and features:Delivers a 'crash' diagram-based course in theory of computationUses single-instruction diagrammatic programming languageOffers a practical introduction into categories and string diagrams as computational toolsReveals how computability is programmability, rather than an 'ether' permeating computers Provides a categorical model of intensional computation is unique up to isomorphismServes as a stepping stone into research of computable categoriesIn addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research. Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands. 272 pp. Englisch. …

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    Editorial: Springer, Berlin|Springer Nature Switzerland|Springer, 2023

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    Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.In this unique textbook/reference, programs are drawn as string diagrams i.…

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    Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach.Topics and features:Delivers a 'crash' diagram-based course in theory of computationUses single-instruction diagrammatic programming languageOffers a practical introduction into categories and string diagrams as computational toolsReveals how computability is programmability, rather than an 'ether' permeating computersProvides a categorical model of intensional computation is unique up to isomorphismServes as a stepping stone into research of computable categoriesIn addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research.Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch. …