Skip to main content

Generalized Knowledge Representation using Free Logic

  • Conference paper
AI and Cognitive Science ’91

Part of the book series: Workshops in Computing ((WORKSHOPS COMP.))

  • 55 Accesses

Abstract

Declarative rule-based systems can be generalized to constraint-based systems. However, although conventional constraint systems require that the set of parameters which exist in a problem be known ab initio,there are some applications in which the existence of certain parameters is dependent on conditions whose truth or falsity can only be determined dynamically. In this paper, we show how this conditional existence of parameters can be handled in a mathematically well-founded fashion by viewing a constraint network as a set of sentences in free logic. Based on these ideas, we have developed, implemented and applied to a range of applications, a constraint language in which any sentence in full first-order free logic, about a many-sorted universe of discourse which subsumes the real numbers, is a well-formed constraint.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bowen J, and Bahler D, 1990, “Improving Ontological Expressiveness in Constraint Processing,” Technical Report, Department of Computer Science, North Carolina State University.

    Google Scholar 

  2. Bowen J, and Bahler D, 1991, “Free Logic in Constraint Processing,” Technical Report, Department of Computer Science, North Carolina State University. Submitted to Artificial Intelligence journal.

    Google Scholar 

  3. Bowen J, and Bahler D, 1991, “Conditional Existence of Variables in Generalized Constraint Networks,” in Proceedings of AAA I-91, the National Conference of the American Association for Artificial Intelligence, Anaheim CA, July 1991.

    Google Scholar 

  4. Bowen J, O’Grady P and Smith L, 1990, “A Constraint Programming Language for Life-Cycle Engineering,” International Journal for Artificial Intelligence in Engineering, 5 (4), 206–220.

    Article  Google Scholar 

  5. Bowen J, and Bahler D, 1992, “Compound Constraint Propagation,” Technical Report, Department of Computer Science, North Carolina State University.

    Google Scholar 

  6. Bowen J, Bahler D, and Dholakia A, 1990, “A DFT Advisor for Digital Circuit Design,” Technical Report, Department of Computer Science, North Carolina State University. To appear in Computers and Electrical Engineering, special issue on Artificial Intelligence in Engineering Design and Manufacturing.

    Google Scholar 

  7. Friedman G and Leondes C, 1969, “Constraint Theory, Part I: Fundamentals,” IEEE Transactions on Systems Science and Cybernetics, ssc-5, 1, 48–56.

    Google Scholar 

  8. Hirst G, 1989, “Ontological assumptions in knowledge representation,” Proceedings of the First International Conference on Principles of Knowledge Representation and Reasoning, 157–169.

    Google Scholar 

  9. Lambert K and van Fraassen B, 1972, Derivation and Counterexample: An Introduction to Philosophical Logic, Enrico, CA: Dickenson Publishing Company.

    Google Scholar 

  10. Mackworth A, 1987. “Constraint Satisfaction,” in S. Shapiro (ed.), The Encyclopedia of Artificial Intelligence, New York: Wiley, 205–211.

    Google Scholar 

  11. Mittal S and Falkenhainer B, 1990, “Dynamic Constraint Satisfaction Problems,” Proceedings of the Eighth National Conference on Artificial Intelligence, 25–32.

    Google Scholar 

  12. Mulder J, Mackworth A and Havens W, 1988, “Knowledge Structuring and Constraint Satisfaction: The Mapsee Approach,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 10 (6), 866–879.

    Article  Google Scholar 

  13. Nilsson N, 1991, “Logic and Artificial Intelligence,” Artificial Intelligence, 47, 31–56.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bowen, J., Bahler, D. (1993). Generalized Knowledge Representation using Free Logic. In: Sorensen, H. (eds) AI and Cognitive Science ’91. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3562-3_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-3562-3_16

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19785-0

  • Online ISBN: 978-1-4471-3562-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics