Applications Of Categories In Computer Science

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Basic Category Theory for Computer Scientists

Benjamin C. Pierce
Basic Category Theory for Computer Scientists Book PDF

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 117 pages
File Size : 50,6 Mb
Release : 1991-08-07
Category : Computers
ISBN : 9780262326452

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Basic Category Theory for Computer Scientists by Benjamin C. Pierce Pdf

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

R. F. C. Walters,Richard F. Walters
Categories and Computer Science Book PDF

Author : R. F. C. Walters,Richard F. Walters
Publisher : Cambridge University Press
Page : 180 pages
File Size : 52,6 Mb
Release : 1991
Category : Computers
ISBN : 0521422264

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Categories and Computer Science by R. F. C. Walters,Richard F. Walters Pdf

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.

Applications of Categories in Computer Science

M. P. Fourman,P. T. Johnstone,A. M. Pitts
Applications of Categories in Computer Science Book PDF

Author : M. P. Fourman,P. T. Johnstone,A. M. Pitts
Publisher : Cambridge University Press
Page : 353 pages
File Size : 50,6 Mb
Release : 1992-06-26
Category : Computers
ISBN : 9780521427265

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Applications of Categories in Computer Science by M. P. Fourman,P. T. Johnstone,A. M. Pitts Pdf

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

Michael Barr,Charles Wells
Category Theory for Computing Science Book PDF

Author : Michael Barr,Charles Wells
Publisher : Unknown
Page : 352 pages
File Size : 47,8 Mb
Release : 1995
Category : Computers
ISBN : UOM:39015034447873

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Category Theory for Computing Science by Michael Barr,Charles Wells Pdf

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.

Applications of Categories in Computer Science

M. P. Fourman,P. T. Johnstone,Andrew M. Pitts
Applications of Categories in Computer Science Book PDF

Author : M. P. Fourman,P. T. Johnstone,Andrew M. Pitts
Publisher : Unknown
Page : 339 pages
File Size : 41,5 Mb
Release : 1992
Category : Categories (Mathematics)
ISBN : 1107369959

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Applications of Categories in Computer Science by M. P. Fourman,P. T. Johnstone,Andrew M. Pitts Pdf

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.

Applications of Categories in Computer Science

M. P. Fourman,P. T. Johnstone,A. M. Pitts
Applications of Categories in Computer Science Book PDF

Author : M. P. Fourman,P. T. Johnstone,A. M. Pitts
Publisher : Unknown
Page : 352 pages
File Size : 50,7 Mb
Release : 1992
Category : Categories (Mathematics)
ISBN : 1107366755

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Applications of Categories in Computer Science by M. P. Fourman,P. T. Johnstone,A. M. Pitts Pdf

Selected papers reflecting current research in categories and computer science.

Categories, Types, and Structures

Andrea Asperti,Giuseppe Longo
Categories Types and Structures Book PDF

Author : Andrea Asperti,Giuseppe Longo
Publisher : MIT Press (MA)
Page : 330 pages
File Size : 51,5 Mb
Release : 1991
Category : Computers
ISBN : UOM:39015022019742

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Categories, Types, and Structures by Andrea Asperti,Giuseppe Longo Pdf

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.

Basic Category Theory for Computer Scientists

Benjamin C. Pierce
Basic Category Theory for Computer Scientists Book PDF

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 117 pages
File Size : 42,6 Mb
Release : 1991-08-07
Category : Computers
ISBN : 9780262660716

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Basic Category Theory for Computer Scientists by Benjamin C. Pierce Pdf

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

An Invitation to Applied Category Theory

Brendan Fong,David I. Spivak
An Invitation to Applied Category Theory Book PDF

Author : Brendan Fong,David I. Spivak
Publisher : Cambridge University Press
Page : 351 pages
File Size : 43,9 Mb
Release : 2019-07-18
Category : Computers
ISBN : 9781108482295

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An Invitation to Applied Category Theory by Brendan Fong,David I. Spivak Pdf

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

Categories in Computer Science and Logic

John Walker Gray,Andrej Ščedrov
Categories in Computer Science and Logic Book PDF

Author : John Walker Gray,Andrej Ščedrov
Publisher : American Mathematical Soc.
Page : 382 pages
File Size : 51,5 Mb
Release : 1989
Category : Computers
ISBN : 9780821851005

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Categories in Computer Science and Logic by John Walker Gray,Andrej Ščedrov Pdf

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.

Category Theory And Applications: A Textbook For Beginners (Second Edition)

Marco Grandis
Category Theory And Applications A Textbook For Beginners Second Edition Book PDF

Author : Marco Grandis
Publisher : World Scientific
Page : 390 pages
File Size : 41,9 Mb
Release : 2021-03-05
Category : Mathematics
ISBN : 9789811236105

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Category Theory And Applications: A Textbook For Beginners (Second Edition) by Marco Grandis Pdf

Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.

Basic Category Theory for Computer Scientists

Benjamin C. Pierce
Basic Category Theory for Computer Scientists Book PDF

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 126 pages
File Size : 50,6 Mb
Release : 1991-08-07
Category : Computers
ISBN : 0262660717

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Basic Category Theory for Computer Scientists by Benjamin C. Pierce Pdf

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

Foundations of Software Science and Computational Structures

Vladimiro Sassone
Foundations of Software Science and Computational Structures Book PDF

Author : Vladimiro Sassone
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 46,5 Mb
Release : 2005-03-24
Category : Computers
ISBN : 9783540253884

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Foundations of Software Science and Computational Structures by Vladimiro Sassone Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2005, held in Edinburgh, UK in April 2005 as part of ETAPS. The 30 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 108 submissions. The papers are organized in topical sections on rule formats and bisimulation, probabilistic models, algebraic models, games and automata, language analysis, partial order models, logics, coalgebraic modal logics, and computational models.

Categories for Software Engineering

Jose Luiz Fiadeiro
Categories for Software Engineering Book PDF

Author : Jose Luiz Fiadeiro
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 52,6 Mb
Release : 2005-08-09
Category : Computers
ISBN : 9783540268918

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Categories for Software Engineering by Jose Luiz Fiadeiro Pdf

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.

Encyclopedia of Computer Science and Technology

Allen Kent,James G. Williams
Encyclopedia of Computer Science and Technology Book PDF

Author : Allen Kent,James G. Williams
Publisher : CRC Press
Page : 464 pages
File Size : 44,6 Mb
Release : 1990-05-15
Category : Computers
ISBN : 0824722728

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Encyclopedia of Computer Science and Technology by Allen Kent,James G. Williams Pdf

"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."