Applications Of Categories In Computer Science

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Basic Category Theory For Computer Scientists

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Author : Benjamin C. Pierce
language : en
Publisher: MIT Press
Release Date : 1991-08-07

Basic Category Theory For Computer Scientists written by Benjamin C. Pierce and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-07 with Computers categories.

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Categories And Computer Science

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Author : R. F. C. Walters
language : en
Publisher: Cambridge University Press
Release Date : 1992-08-27

Categories And Computer Science written by R. F. C. Walters and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-27 with Computers categories.

Category Theory has, in recent years, become increasingly important and popular in computer science, and many universities now introduce Category Theory as part of the curriculum for undergraduate computer science students. Here, the theory is developed in a straightforward way, and is enriched with many examples from computer science.

Category Theory For Computing Science

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Author : Michael Barr
language : en
Publisher:
Release Date : 1995

Category Theory For Computing Science written by Michael Barr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.

A wide coverage of topics in category theory and computer science is developed in this text, including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. Over 300 exercises are included.

Categories Types And Structures

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Author : Andrea Asperti
language : en
Publisher: MIT Press (MA)
Release Date : 1991

Categories Types And Structures written by Andrea Asperti and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.

Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.

Samson Abramsky On Logic And Structure In Computer Science And Beyond

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Author : Alessandra Palmigiano
language : en
Publisher: Springer Nature
Release Date : 2023-08-01

Samson Abramsky On Logic And Structure In Computer Science And Beyond written by Alessandra Palmigiano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-01 with Philosophy categories.

Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

An Invitation To Applied Category Theory

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Author : Brendan Fong
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-18

An Invitation To Applied Category Theory written by Brendan Fong and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-18 with Computers categories.

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

Foundations Of Software Science And Computational Structures

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Author : Vladimiro Sassone
language : en
Publisher: Springer
Release Date : 2005-02-26

Foundations Of Software Science And Computational Structures written by Vladimiro Sassone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-26 with Computers categories.

ETAPS 2005 was the eighth instance of the European Joint Conferences on Theory and Practice of Software. ETAPS is an annual federated conference that was est- lished in 1998 by combining a number of existing and new conferences. This year it comprised ?ve conferences (CC, ESOP, FASE, FOSSACS, TACAS), 17 satellite wo- shops (AVIS, BYTECODE, CEES, CLASE, CMSB, COCV, FAC, FESCA, FINCO, GCW-DSE, GLPL, LDTA, QAPL, SC, SLAP, TGC, UITP), seven invited lectures (not including those that were speci?c to the satellite events), and several tutorials. We - ceived over 550 submissions to the ?ve conferences this year, giving acceptance rates below 30% for each one. Congratulations to all the authors who made it to the ?nal program! I hope that most of the other authors still found a way of participating in this exciting event and I hope you will continue submitting. The events that comprise ETAPS address various aspects of the system devel- ment process, including speci?cation, design, implementation, analysis and impro- ment. The languages, methodologies and tools which support these activities are all well within its scope. Di?erent blends of theory and practice are represented, with an inclination towards theory with a practical motivation on the one hand and soundly based practice on the other. Many of the issues involved in software design apply to systems in general, including hardware systems, and the emphasis on software is not intended to be exclusive.

Category Theory For Programmers New Edition Hardcover

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Author : Bartosz Milewski
language : en
Publisher:
Release Date : 2019-08-24

Category Theory For Programmers New Edition Hardcover written by Bartosz Milewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-24 with categories.

Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.

Mathematical Foundation Of Computer Science

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Author : Y. N. Singh
language : en
Publisher: New Age International
Release Date : 2005

Mathematical Foundation Of Computer Science written by Y. N. Singh and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

The Interesting Feature Of This Book Is Its Organization And Structure. That Consists Of Systematizing Of The Definitions, Methods, And Results That Something Resembling A Theory. Simplicity, Clarity, And Precision Of Mathematical Language Makes Theoretical Topics More Appealing To The Readers Who Are Of Mathematical Or Non-Mathematical Background. For Quick References And Immediate Attentions3⁄4Concepts And Definitions, Methods And Theorems, And Key Notes Are Presented Through Highlighted Points From Beginning To End. Whenever, Necessary And Probable A Visual Approach Of Presentation Is Used. The Amalgamation Of Text And Figures Make Mathematical Rigors Easier To Understand. Each Chapter Begins With The Detailed Contents, Which Are Discussed Inside The Chapter And Conclude With A Summary Of The Material Covered In The Chapter. Summary Provides A Brief Overview Of All The Topics Covered In The Chapter. To Demonstrate The Principles Better, The Applicability Of The Concepts Discussed In Each Topic Are Illustrated By Several Examples Followed By The Practice Sets Or Exercises.

Tool And Object

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Author : Ralph Krömer
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Tool And Object written by Ralph Krömer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-25 with Mathematics categories.

Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.