**Author**: Benjamin C. Pierce

**Publisher:**MIT Press

**Size**: 70.74 MB

**Format:**PDF, ePub, Mobi

**Category :**Computers

**Pages :**116

Basic Category Theory for Computer Scientists GET EBOOK

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## Basic Category Theory for Computer Scientists

**Author**: Benjamin C. Pierce

**Publisher:** MIT Press

**Size**: 70.74 MB

**Format:** PDF, ePub, Mobi

**Category : **Computers

**Pages : **116

Basic Category Theory for Computer Scientists GET EBOOK
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
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Basic Category Theory for Computer Scientists GET EBOOK

Language: en

Pages: 116

Pages: 116

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

Language: en

Pages: 319

Pages: 319

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.

Language: en

Pages: 166

Pages: 166

Provides an introduction to category theory whilst retaining a level of mathematical correctness, thus appealing to students of both computer science and mathematics.

Language: en

Pages: 252

Pages: 252

Within the last decade the molecular biology of tumor models has revealed the identification of several metastasis- related molecules. These volumes attempt to review the most recent approaches of their mechanisms, regulation and way to treat their malignant alterations. The first volume covers the presentation of proteases and inhibitors and their role in invasion of tumor cells, also cell adhesion molecules and their interaction with the extracellular matrix. In the second volume the regulation of tumor progression and angiogenesis by cytokines, growth factors and motility factors is outlined. The third volume deals with detection of micrometastases and therapeutic approaches, such as immunotherapy, gene therapy, chemotherapy and surgical strategies to combat metastatic spread.

Language: en

Pages: 382

Pages: 382

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.

Language: en

Pages: 456

Pages: 456

"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."

Language: en

Pages: 514

Pages: 514

Content Description #Dedicated to Wilfried Brauer.#Includes bibliographical references and index.

Language: en

Pages: 576

Pages: 576

Ontology was once understood to be the philosophical inquiry into the structure of reality: the analysis and categorization of ‘what there is’. Recently, however, a field called ‘ontology’ has become part of the rapidly growing research industry in information technology. The two fields have more in common than just their name. Theory and Applications of Ontology is a two-volume anthology that aims to further an informed discussion about the relationship between ontology in philosophy and ontology in information technology. It fills an important lacuna in cutting-edge research on ontology in both fields, supplying stage-setting overview articles on history and method, presenting directions of current research in either field, and highlighting areas of productive interdisciplinary contact. Theory and Applications of Ontology: Computer Applications presents ontology in ways that philosophers are not likely to find elsewhere. The volume offers an overview of current research in ontology, distinguishing basic conceptual issues, domain applications, general frameworks, and mathematical formalisms. It introduces the reader to current research on frameworks and applications in information technology in ways that are sure to invite reflection and constructive responses from ontologists in philosophy.

Language: en

Pages: 533

Pages: 533

This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.

Language: en

Pages:

Pages:

Books about Category Theory and Computer Science

Language: en

Pages: 640

Pages: 640

The book is a very up-to-date collection of articles in theoretical computer science, written by leading authorities in the field. The topics range from algorithms and complexity to algebraic specifications, and from formal languages and language-theoretic modeling to computational geometry. The material is based on columns and articles that have appeared in the EATCS Bulletin during the past two to three years. Although very recent research is discussed, the largely informal style of writing makes the book accessible to readers with little or no previous knowledge of the topics. Contents:Computational Geometry (H Edelsbrunner et al.)Algebraic Specification (H Ehrig et al.):On the Potential Role of Algebraic Specification within Computer Science (H Ehrig & P Pepper)Linking Schemas and Module Specifications: A Proposal (H Ehrig & M A Arbib)A Short Oxford Survey of Order Sorted Algebra (J Goguen & R Diaconescu)Logic in Computer Science (Y Gurevich et al.):On Kolmogorov Machines and Related IssuesTopoi and Computation (A Blass)Structural Complexity (J Hartmanis et al.):Gödel, von Neumann and the P = ? NP ProblemCounting Hierarchies: Polynomial Time and Constant Depth Circuits (E W Allender & K W Wagner)Formal Language Theory (A Salomaa et al.):Decidability in Finite AutomataParallel Communicating Grammar Systems (L Santean)and other papers Readership: Computer scientists, students and researchers. keywords:Theoretical Computer Science;Formal Methods;Algebraic Specification;Graph Transformation;Petri Net Technology;Integration;Consistency;Verification

Language: en

Pages:

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Using basic category theory, this Element describes all the central concepts and proves the main theorems of theoretical computer science. Category theory, which works with functions, processes, and structures, is uniquely qualified to present the fundamental results of theoretical computer science. In this Element, readers will meet some of the deepest ideas and theorems of modern computers and mathematics, such as Turing machines, unsolvable problems, the P=NP question, Kurt Gödel's incompleteness theorem, intractable problems, cryptographic protocols, Alan Turing's Halting problem, and much more. The concepts come alive with many examples and exercises.