Categories for Software Engineering

  • José Luiz Fiadeiro

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Pages 1-11
  3. Basics

    1. Pages 31-55
    2. Pages 83-92
  4. Advanced Topics

    1. Pages 141-174
  5. Applications

    1. Pages 177-196
    2. Pages 221-235
  6. Back Matter
    Pages 237-250

About this book


This book provides a gentle, software engineering oriented introduction to category theory. Assuming only a minimum of mathematical preparation, this book explores the use of categorical constructions from the point of view of the methods and techniques that have been proposed for the engineering of complex software systems: object-oriented development, software architectures, logical and algebraic specification techniques, models of concurrency, inter alia. After two parts in which basic and more advanced categorical concepts and techniques are introduced, the book illustrates their application to the semantics of CommUnity – a language for the architectural design of interactive systems.

"For computer scientists, this unique book presents Category Theory in a manner tailored to their interests and with examples to which they can relate." Ira Forman, IBM

"This book applies little-known yet quite powerful formal tools from category theory to software structures: designs, architectures, patterns, and styles. Rather than focus on issues at the level of computational models and semantics, it instead applies these tools to some of the problems facing the sophisticated software architect. The terminology and mind set (Parts 1 and 2), while different from many common approaches, can provide startlingly concise expression of key properties of software systems (Part 3), and give rigorous meaning to entire families of box-and-line architecture drawings. It is applicable to the formal specification, decomposition, and composition of service-oriented architectures." Desmond D'Souza, Kinetium


Agent-Oriented Software Engineering CommUnity Complex Systems Component-Based Systems Formal Methods Object-Oriented Software Service-Oriented Sof Software Engineering Software Specification Systems Design Systems Modeling Systems Theory design semantics software architecture

Authors and affiliations

  • José Luiz Fiadeiro
    • 1
  1. 1.Department of Computer ScienceUniversity of LeicesterLeicesterUK

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