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Programs as Diagrams, Pavlovic


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Цена: 79190.00T
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Автор: Pavlovic
Название:  Programs as Diagrams
ISBN: 9783031348266
Издательство: Springer
Классификация:

ISBN-10: 3031348265
Обложка/Формат: Hardback
Вес: 0.00 кг.
Дата издания: 04.10.2023
Язык: English
Основная тема: Computer Science
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 computation * Uses single-instruction diagrammatic programming language * Offers a practical introduction into categories and string diagrams as computational tools * Reveals how computability is programmability, rather than an ‘ether’ permeating computers * Provides a categorical model of intensional computation is unique up to isomorphism * Serves as a stepping stone into research of computable categories In 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.
Дополнительное описание: 1. Drawing Types and Functions.- 2. Monoidal Computer: Computability as a Structure.- 3. Fixpoints.- 4. What can be Computed.- 5. What cannot be Computed.- 6. Computing Programs.- 7. Program-Closed Categories: Computability as a Property.- 8. Computable C


Recent Trends in Algebraic Development Techniques

Автор: James
Название: Recent Trends in Algebraic Development Techniques
ISBN: 3319720430 ISBN-13(EAN): 9783319720432
Издательство: Springer
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Цена: 46570.00 T
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Diagrams and Gestures

Автор: La Mantia
Название: Diagrams and Gestures
ISBN: 3031291107 ISBN-13(EAN): 9783031291104
Издательство: Springer
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Цена: 158380.00 T
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Описание: Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.

Thinking Programs: Logical Modeling and Reasoning about Languages, Data, Computations, and Executions

Автор: Schreiner Wolfgang
Название: Thinking Programs: Logical Modeling and Reasoning about Languages, Data, Computations, and Executions
ISBN: 3030805069 ISBN-13(EAN): 9783030805067
Издательство: Springer
Цена: 65210.00 T
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Описание: Part I The Foundations.- Syntax and Semantics.- The Language of Logic.- The Art of Reasoning.- Building Models.- Recursion.- Part II The Higher Planes.- Abstract Data Types.- Programming Languages.- Computer Programs.- Concurrent Systems.- References.- Index.



Operads of wiring diagrams

Автор: Yau, Donald
Название: Operads of wiring diagrams
ISBN: 3319950002 ISBN-13(EAN): 9783319950006
Издательство: Springer
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Цена: 46570.00 T
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Описание: Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of the various operads of wiring diagrams, their algebras, and the relationships between these operads.The book proves finite presentation theorems for operads of wiring diagrams as well as their algebras. These theorems describe the operad in terms of just a few operadic generators and a small number of generating relations. The author further explores recent trends in the application of operad theory to wiring diagrams and related structures, including finite presentations for the propagator algebra, the algebra of discrete systems, the algebra of open dynamical systems, and the relational algebra. A partial verification of David Spivak’s conjecture regarding the quotient-freeness of the relational algebra is also provided. In the final part, the author constructs operad maps between the various operads of wiring diagrams and identifies their images. Assuming only basic knowledge of algebra, combinatorics, and set theory, this book is aimed at advanced undergraduate and graduate students as well as researchers working in operad theory and its applications. Numerous illustrations, examples, and practice exercises are included, making this a self-contained volume suitable for self-study.

Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. II Programs

Автор: Cullum; Willoughby
Название: Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. II Programs
ISBN: 1468491806 ISBN-13(EAN): 9781468491807
Издательство: Springer
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Цена: 46570.00 T
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Verification of Sequential and Concurrent Programs

Автор: Krzysztof R. Apt; Amir Pnueli; Frank S. de Boer; E
Название: Verification of Sequential and Concurrent Programs
ISBN: 1447125134 ISBN-13(EAN): 9781447125136
Издательство: Springer
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Цена: 74530.00 T
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Описание: This book explores one of the most common approaches to program verification, known as the assertional approach. Case studies supplied throughout the book demonstrate the use of the proof systems and formally verify solutions to classical problems.

Adapting Proofs-as-Programs

Автор: Iman Poernomo; John N. Crossley; Martin Wirsing
Название: Adapting Proofs-as-Programs
ISBN: 1441920145 ISBN-13(EAN): 9781441920140
Издательство: Springer
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Цена: 153720.00 T
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Описание: This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems.

Types for Proofs and Programs

Автор: Paul Callaghan; Zhaohui Luo; James McKinna; Robert
Название: Types for Proofs and Programs
ISBN: 3540432876 ISBN-13(EAN): 9783540432876
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text contains the post-proceedings of the International Workshop of the TYPES Working Group held in Durham in December 2000. The 15 revised full papers address significant issues on type theory and type systems and their applications to programming, systems design and proof theory.

Type Systems for Distributed Programs: Components and Sessions

Автор: Dardha
Название: Type Systems for Distributed Programs: Components and Sessions
ISBN: 946239203X ISBN-13(EAN): 9789462392038
Издательство: Springer
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Цена: 88500.00 T
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Описание:

In this book we develop powerful techniques based on formal methods for the verification of correctness, consistency and safety properties related to dynamic reconfiguration and communication in complex distributed systems. In particular, static analysis techniques based on types and type systems are an adequate methodology considering their success in guaranteeing not only basic safety properties, but also more sophisticated ones like deadlock or lock freedom in concurrent settings.
The main contributions of this book are twofold.
i) We design a type system for a concurrent object-oriented calculus to statically ensure consistency of dynamic reconfigurations.
ii) We define an encoding of the session pi-calculus, which models communication in distributed systems, into the standard typed pi-calculus. We use this encoding to derive properties like type safety and progress in the session pi-calculus by exploiting the corresponding properties in the standard typed pi-calculus.

Visual Reasoning with Diagrams

Автор: Moktefi Amirouche
Название: Visual Reasoning with Diagrams
ISBN: 3034805993 ISBN-13(EAN): 9783034805995
Издательство: Springer
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Цена: 69870.00 T
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Описание: This book examines the logical status of diagrams-in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning.

Types for Proofs and Programs

Автор: Jean-Christophe Filliatre; Christine Paulin-Mohrin
Название: Types for Proofs and Programs
ISBN: 3540314288 ISBN-13(EAN): 9783540314288
Издательство: Springer
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Цена: 65210.00 T
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Описание: The 17 revised full papers presented here cover all current issues of formal reasoning and computer programming based on type theory are addressed; in particular languages and computerised tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalisation of mathematics and mathematics education.


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