Towards a Formal Approach to Information Systems Design Theory Using Category Theory

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• 作者：George R. Widmeyer (1) george.widmeyer@gmail.com
• 关键词：Design Theory – ; Representations for Design – ; Category Theory
• 刊名：Lecture Notes in Computer Science
• 出版年：2012
• 出版时间：2012
• 年：2012
• 卷：7286
• 期：1
• 页码：371-380
• 全文大小：242.6 KB
• 参考文献：1. Barwise, J., Seligman, J.: Information Flow – The Logic of Distributed Systems. Cambridge University Press, Cambridge (1997)
  2. Baskerville, R., Pries-Heje, J.: Explanatory Design Theory. Business & Information Systems Engineering 2(5), 271–282 (2010)
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  5. Lawvere, F.W., Schanuel, S.H.: Conceptual Mathematics: A First Introduction to Categories. Cambridge University Press, Cambridge (1997)
  6. Pierce, B.C.: Basic Category Theory for Computer Scientists. The MIT Press, Cambridge (1991)
  7. Turoff, M.: Virtuality. Communications of the ACM 40(9), 38–43 (1997)
  8. van Bon, J.: Foundations of ITIL V3. Van Haren Publishing, Zaltbommel (2007); ITIL stands for IT Infrastructure Library. ITIL is a major resource for IT Service Management concepts and approaches
  9. Venable, J.R.: A Framework for Design Science Research Activities. In: Khosrow-Pour, M. (ed.) Proceedings of the 2006 Information Resource Management Association Conference, Washington, DC, USA, May 24-26 (2006)
  10. Walls, J.G., Widmeyer, G.R., El Sawy, O.A.: Building An Information System Design Theory For Vigilant EIS. Information Systems Research 3(1), 36–59 (1992)
  11. Williams, K., Healy, M., Barker, R.: Industrial Applications of Software Synthesis via Category Theory—Case Studies Using Specware. Automated Software Engineering 8(1), 7–30 (2001)
• 作者单位：1. Durango, Colorado, USA
• 刊物类别：Computer Science
• 刊物主题：Artificial Intelligence and Robotics
  Computer Communication Networks
  Software Engineering
  Data Encryption
  Database Management
  Computation by Abstract Devices
  Algorithm Analysis and Problem Complexity
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1611-3349

文摘

This paper reports research in progress for the formalization of the notion of information systems design theory within the framework of formal logic and category theory. The formalization starts with the concept of four relational systems (empirical, subjective, conceptual and formal) that are linked by the four activities for design science research proposed by Venable (2006). Category theory is used as the basis of representing the concept of an information systems design theory as a formal framework by representing each of the four relational systems as either types (theories) or tokens (models). The arrows (morphisms) between the four concepts are explained using Barwise and Seligman’s (1997) definition of “infomorphisms”. The contributions of this research are that it explicates the role of kernel theory (background theory) in information systems design theory and it links this design theory to information fusion and information flow research efforts. It thus provides structures that represent a formalization of the design of information systems.