Skip to main content
Log in

A peep at knowledge science in a categorical prospect

  • Perspective
  • Published:
Frontiers of Computer Science Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Corry L. Nicolas Bourbaki and the concept of mathematical structure. Synthese, 1992, 92(3): 315–348

    Article  MathSciNet  MATH  Google Scholar 

  2. Mac Lane S. Categories for the working mathematician. Springer Science & Business Media, 1971

    Book  MATH  Google Scholar 

  3. Shannon C E. A mathematical theory of communication. ACM SIGMOBILE Mobile Computing and Communications Review, 2001, 5(1): 3–55.

    Article  MathSciNet  Google Scholar 

  4. Petri C A. Kommunikation mit automaten. Dissertation for the Doctoral Degree. Darmstadt: Technical University, 1962

    Google Scholar 

  5. Feigenbaum E A, McCorduck P. The fifth generation, artificial intelligence and Japan’s computer challenge to the world. Boston: Addison- Wesley Pub. Co., 1983

    Google Scholar 

  6. Lu R. Looking for amathematical theory of knowledge. Proc. of KEST, 2004: 3–8

    Google Scholar 

  7. Lu R. Towards a mathematical theory of knowledge — Categorical analysis of knowledge. Journal of Computer Science and Technology, 2005, 20(6): 751–757

    Article  MathSciNet  Google Scholar 

  8. Crane L. Clock and category: is quantum gravity algebraic? Journal of Mathematical Physics, 1995, 36(11): 6180–6193

    Article  MathSciNet  MATH  Google Scholar 

  9. Baez J C, Dolan J. Categorification. 1998, arXiv preprint math/9802029

    Book  MATH  Google Scholar 

  10. Barr M, Wells C. Category Theory for Computer Science. 2nd ed. Englewood Cliffs, NJ: Prentice Hall, 1998

    MATH  Google Scholar 

  11. Moggi E. Notions of computation and monads. Information and computation, 1991, 93(1): 55–92

    Article  MathSciNet  MATH  Google Scholar 

  12. Wang Q, Rong L. Typed category-theory based micro-view emergency knowledge representation. 2007, 568–574

    Google Scholar 

  13. Cockett J R B, Hofstra P JW. Introduction to Turing categories, Annals of Pure and Applied Logic, 2008, 156(2): 183–209

    Article  MathSciNet  MATH  Google Scholar 

  14. Soare R I. Recursively enumerable sets and degrees. Bulletin of the American Mathematical Society, 1978, 84(6): 1149–1181

    Article  MathSciNet  MATH  Google Scholar 

  15. Kleene S C, Post E L. The upper semi-lattice of degrees of recursive unsolvability. Annals of Mathematics, 1954, 59(3): 379–407

    Article  MathSciNet  MATH  Google Scholar 

  16. Li M, Vitányi P. An introduction to Kolmogorov complexity and its applications. Heidelberg: Springer, 1997

    Book  MATH  Google Scholar 

  17. Leinster T. Higher operads, higher catagories. Cambridge: Cambridge University Press, 2004

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ruqian Lu.

Additional information

Ruqian Lu graduated from the department of mathematics, University Jena, Germany in 1959, and is currently a professor of computer science at Mathematical Institute of the Academy of Mathematics and Systems Science, China. He is also a fellow of Chinese Academy of Sciences. His research interests include artificial intelligence, knowledge engineering, knowledge based software engineering, formal semantics of programming languages and quantum computing.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, R. A peep at knowledge science in a categorical prospect. Front. Comput. Sci. 10, 767–768 (2016). https://doi.org/10.1007/s11704-016-6905-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11704-016-6905-4

Keywords

Navigation