Categories And Computer Science
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Categories And Computer Science
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Author : R. F. C. Walters
language : en
Publisher: Cambridge University Press
Release Date : 1991
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 1991 with Computers categories.
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Categories And Computer Science
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Author : Richard F. Walters
language : en
Publisher:
Release Date : 1991
Categories And Computer Science written by Richard F. Walters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
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
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.
Categories In Computer Science And Logic
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Author : John Walker Gray
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Categories In Computer Science And Logic written by John Walker Gray and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.
Category theory has had important uses in logic since the invention of topos theory in the early 1960s, and logic has always been an important component of theoretical computer science. A new development has been the increase in direct interactions between category theory and computer science. In June 1987, an AMS-IMS-SIAM Summer Research Conference on Categories in Computer Science and Logic was held at the University of Colorado in Boulder. The aim of the conference was to bring together researchers working on the interconnections between category theory and computer science or between computer science and logic. The conference emphasized the ways in which the general machinery developed in category theory could be applied to specific questions and be used for category-theoretic studies of concrete problems.This volume represents the proceedings of the conference. (Some of the participants' contributions have been published elsewhere.) The papers published here relate to three different aspects of the conference. The first concerns topics relevant to all three fields, including, for example, Horn logic, lambda calculus, normal form reductions, algebraic theories, and categorical models for computability theory. In the area of logic, topics include semantical approaches to proof-theoretical questions, internal properties of specific objects in (pre-) topoi and their representations, and categorical sharpening of model-theoretic notions. Finally, in the area of computer science, the use of category theory in formalizing aspects of computer programming and program design is discussed.
Applications Of Categories In Computer Science
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Author : M. P. Fourman
language : en
Publisher: Cambridge University Press
Release Date : 1992-06-26
Applications Of Categories In Computer Science written by M. P. Fourman 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 1992-06-26 with Computers categories.
Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains selected papers from the London Mathematical Society Symposium on the subject which was held at the University of Durham. Participants at the conference were leading computer scientists and mathematicians working in the area and this volume reflects the excitement and importance of the meeting. All the papers have been refereed and represent some of the most important and current ideas. Hence this book will be essential to mathematicians and computer scientists working in the applications of category theory.
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 Categories (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.
Categories For Software Engineering
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Author : Jose Luiz Fiadeiro
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-09
Categories For Software Engineering written by Jose Luiz Fiadeiro 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 2005-08-09 with Computers categories.
Demonstrates how category theory can be used for formal software development. The mathematical toolbox for the Software Engineering in the new age of complex interactive systems.
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.