Skip to main content

Summarizing Knowledge Base with Modal Conditionals

  • Conference paper
  • 1098 Accesses

Part of the Lecture Notes in Computer Science book series (LNAI,volume 7653)

Abstract

Work proposes and evaluates a method of summarizing transaction base with conditional formulas and their modal extensions. Modality expresses certainty levels using phrases ‘It is possible, that’ and ‘I believe, that’. Method is based on previous works on grounding of natural language statements. Semantics of conditionals, as opposed to associative rules, are consistent with their conventional natural language meaning. A software simulation is described and implemented. Some interesting results are discussed showing methods pros and cons.

Keywords

  • statement grounding
  • modal statements
  • conditional sentences
  • transaction base summary
  • conditional relation

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ajdukiewicz, K.: Conditional sentence and material implication. Studia Logica 4(1), 135–153 (1956)

    CrossRef  Google Scholar 

  2. Grice, H.P.: Meaning. Philosophical Review 66, 377–388 (1957)

    CrossRef  Google Scholar 

  3. Harnad, S.: The symbol grounding problem. Physica D 42, 335–346 (1990)

    CrossRef  Google Scholar 

  4. Hintikka, J.: Knowledge and belief. An introduction to the logic of the two notions. Cornell University Press, Ithica (1962)

    Google Scholar 

  5. Katarzyniak, R.: Gruntowanie modalnego języka komunikacji w systemach agentowych. Exit, Warsaw (2007)

    Google Scholar 

  6. Kripke, S.: Semantical analysis of modal logic. Zeitschrift für Mathematische Logic und Grundlagen der Mathematik 9, 67–96 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Skorupa, G., Katarzyniak, R.: Applying Possibility and Belief Operators to Conditional Statements. In: Setchi, R., Jordanov, I., Howlett, R.J., Jain, L.C. (eds.) KES 2010, Part I. LNCS, vol. 6276, pp. 271–280. Springer, Heidelberg (2010)

    CrossRef  Google Scholar 

  8. Skorupa, G., Katarzyniak, R.: Conditional Statements Grounded in Past, Present and Future. In: Pan, J.-S., Chen, S.-M., Nguyen, N.T. (eds.) ICCCI 2010, Part III. LNCS, vol. 6423, pp. 112–121. Springer, Heidelberg (2010)

    CrossRef  Google Scholar 

  9. Skorupa, G., Katarzyniak, R.: Modelling Relationship between Antecedent and Consequent in Modal Conditional Statements. In: Jędrzejowicz, P., Nguyen, N.T., Hoang, K. (eds.) ICCCI 2011, Part II. LNCS, vol. 6923, pp. 120–129. Springer, Heidelberg (2011)

    CrossRef  Google Scholar 

  10. Strawson, P.F.: Introduction to Logical Theory. Methuen & Co. Ltd., New York (1952)

    MATH  Google Scholar 

  11. Woods, M.: Conditionals. Oxford University Press (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Skorupa, G., Katarzyniak, R. (2012). Summarizing Knowledge Base with Modal Conditionals. In: Nguyen, NT., Hoang, K., Jȩdrzejowicz, P. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2012. Lecture Notes in Computer Science(), vol 7653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34630-9_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34630-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34629-3

  • Online ISBN: 978-3-642-34630-9

  • eBook Packages: Computer ScienceComputer Science (R0)