Category Theory And Computer Programming
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Category Theory For Computing Science
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Author : Michael Barr
language : en
Publisher:
Release Date : 1990
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 1990 with Mathematics categories.
Textbook for advanced undergraduates, graduates and researchers in computing science and mathematics expounds the basic ideas and construction of category theory, with examples from and applications to computing science. The emphasis is on examples and on understanding the concepts rather than on formal proofs of the theorems. Annotation copyright.
Category Theory For Programmers Scala Edition Paperback
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Author : Bartosz Milewski
language : en
Publisher:
Release Date : 2019-08-12
Category Theory For Programmers Scala Edition Paperback 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 2019-08-12 with categories.
This is the Scala edition of Category Theory for Programmers by Bartosz Milewski. This book contains code snippets in both Haskell and Scala.
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 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.
Category Theory And Computer Science
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Author : David H. Pitt
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-08-21
Category Theory And Computer Science written by David H. Pitt 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 1991-08-21 with Mathematics categories.
The papers in this volume were presented at the fourth biennial Summer Conference on Category Theory and Computer Science, held in Paris, September3-6, 1991. Category theory continues to be an important tool in foundationalstudies in computer science. It has been widely applied by logicians to get concise interpretations of many logical concepts. Links between logic and computer science have been developed now for over twenty years, notably via the Curry-Howard isomorphism which identifies programs with proofs and types with propositions. The triangle category theory - logic - programming presents a rich world of interconnections. Topics covered in this volume include the following. Type theory: stratification of types and propositions can be discussed in a categorical setting. Domain theory: synthetic domain theory develops domain theory internally in the constructive universe of the effective topos. Linear logic: the reconstruction of logic based on propositions as resources leads to alternatives to traditional syntaxes. The proceedings of the previous three category theory conferences appear as Lecture Notes in Computer Science Volumes 240, 283 and 389.
Category Theory And Computer Science
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Author : Eugenio Moggi
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-20
Category Theory And Computer Science written by Eugenio Moggi 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 1997-08-20 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Category Theory and Computer Science, CTCS'97, held in Santa Margheria Ligure, Italy, in September 1997. Category theory attracts interest in the theoretical computer science community because of its ability to establish connections between different areas in computer science and mathematics and to provide a few generic principles for organizing mathematical theories. This book presents a selection of 15 revised full papers together with three invited contributions. The topics addressed include reasoning principles for types, rewriting, program semantics, and structuring of logical systems.
Practical Applications Of Category Theory In Computer Science
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Author : Richard Aragon
language : en
Publisher: Independently Published
Release Date : 2024-06-09
Practical Applications Of Category Theory In Computer Science written by Richard Aragon and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-09 with Computers categories.
Unleash the Power of Abstraction: Master Category Theory for Real-World Computing Delve into the world of category theory - a powerful mathematical framework that's revolutionizing how we think about and solve complex problems in computer science. "Practical Applications of Category Theory in Computer Science" is your comprehensive guide to understanding and applying this seemingly abstract field to concrete challenges in software development. What You'll Discover: Intuitive Explanations: Demystify the core concepts of category theory with clear explanations and illustrative examples drawn from the world of programming. Practical Applications: Explore how category theory can enhance your work in functional programming, software architecture, data modeling, machine learning, and more. Real-World Solutions: Learn how to apply abstract categorical principles to solve concrete problems, leading to more elegant, efficient, and reliable code. A Bridge Between Theory and Practice: Gain a deeper understanding of the theoretical foundations of computer science while discovering practical tools to elevate your craft. Who This Book Is For: Intermediate to Advanced Programmers: If you're comfortable with programming concepts and eager to explore the theoretical underpinnings of your work, this book is for you. Computer Scientists: Whether you're focused on software engineering, data science, or machine learning, category theory can provide you with powerful tools for abstraction and problem-solving. Curious Minds: If you're simply intrigued by the idea of applying abstract mathematics to real-world problems, this book will satisfy your curiosity and expand your horizons. Why Category Theory Matters: Category theory offers a fresh perspective on complex systems. It emphasizes relationships, structure, and composition - key concepts that resonate deeply with the challenges faced by computer scientists. By mastering category theory, you'll gain a deeper understanding of the fundamental principles that underpin software development and unlock new possibilities for innovation. Don't miss out on this opportunity to revolutionize your approach to computer science. "Practical Applications of Category Theory in Computer Science" is your essential guide to harnessing the power of abstraction for real-world computing.
Category Theory And Computer Programming
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Author :
language : en
Publisher:
Release Date : 1985
Category Theory And Computer Programming written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Categories (Mathematics) categories.
Category Theory In Programming
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Author : Keith Jackson
language : en
Publisher: Independently Published
Release Date : 2023-08-05
Category Theory In Programming written by Keith Jackson and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-05 with categories.
Embark on an enlightening journey from high-level mathematics to practical code with "Category Theory in Programming: From Math to Code". This special report, penned by the seasoned Keith Jackson, is perfectly curated to guide readers through the thrilling interface of abstract mathematics and computer programming. Starting off with the complex realm of category theory, often revered and feared for its degree of abstraction, the report leads into the extraordinary implications it carries for the world of programming. Each chapter has been meticulously designed to dismantle convoluted ideas and present them piece by piece, providing a comprehensive understanding. Whether you are a mathematician, a programmer, or a curious reader intrigued by the overlap between mathematics and computer science, this special report will be a captivating read. From detailing the fundamentals of category theory like Objects, Morphisms, Functors, and Natural Transformations, to illustrating their powerful applications in modern coding practices, the report expertly traverses the pathway from theory to practice. Not just for immediate applications, the report also guides readers towards the future, presenting how category theory is primed to shape the next generation of programming methodologies and designs. Experience the delight of understanding complex concepts, see the world of programming through a new lens, and equip yourself with knowledge that puts you ahead. With "Category Theory in Programming: From Math to Code", join Keith Jackson on this riveting exploration; it's not just a special report, it's an adventure from Math to Code!
Category Theory And Computer Science
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Author :
language : en
Publisher:
Release Date : 1995
Category Theory And Computer Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Categories (Mathematics) categories.