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Refinements of Restricted Higher-Order Anti-Unification for Heuristic-Driven Theory Projection

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KI 2011: Advances in Artificial Intelligence (KI 2011)

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Abstract

Empirical research supports the belief that structural commonalities between two domains are the main guidance for the construction of analogies. Restricted higher-order anti-unification has been shown suitable to find structural commonalties and generate mappings between domains in the symbolic analogy model Heuristic-Driven Theory Projection (HDTP). This paper will describe how to enforce and integrate restrictions on mappings between symbols from a many-to-many up to a one-to-one symbol correspondence. We will also discuss how sorts together with sortal ontologies can be incorporated into anti-unification within HDTP and thereby restrict possible mappings between domains.

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References

  1. Chalmers, D.J., French, R.M., Hofstadter, D.R.: High-level perception, representation, and analogy: A critique of artificial intelligence methodology. Journal of Experimental and Theoretical Artificial Intelligence 4(3), 185–211 (1992)

    Article  Google Scholar 

  2. Falkenhainer, B., Forbus, K.D., Gentner, D.: The structure-mapping engine: Algorithm and examples. Artificial Intelligence 41(1), 1–63 (1989)

    Article  MATH  Google Scholar 

  3. Forbus, K.D., Gentner, D., Markman, A.B., Ferguson, R.W.: Analogy just looks like high-level perception: why a domain-general approach to analogical mapping is right. Journal of Experimental & Theoretical Artificial Intelligence 10, 231–257 (1998)

    Article  Google Scholar 

  4. Gentner, D.: Structure-mapping: A theoretical framework for analogy. Cognitive Science 7(2), 155–170 (1983)

    Article  Google Scholar 

  5. Gentner, D.: The mechanism of analogical learning. In: Vosniadou, S., Ortony, A. (eds.) Similarity and Analogical Reasoning, pp. 199–241. Cambridge University Press, New York (1989)

    Chapter  Google Scholar 

  6. Guhe, M., Pease, A., Smaill, A., Schmidt, M., Gust, H., Kühnberger, K.U., Krumnack, U.: Mathematical reasoning with higher-order anti-unification. In: Proceedings of the 32nd Annual Conference of the Cognitive Science Society, pp. 1992–1997. Cognitive Science Society, Austin (2010)

    Google Scholar 

  7. Gust, H., Krumnack, U., Kühnberger, K.U., Schwering, A.: Analogical reasoning: A core of cognition. Zeitschrift für Künstliche Intelligenz (KI), Themenheft KI und Kognition 1, 8–12 (2008)

    Google Scholar 

  8. Gust, H., Kühnberger, K.U., Schmid, U.: Metaphors and heuristic-driven theory projection (HDTP). Theoretical Computer Science 354(1), 98–117 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. Indurkhya, B.: Metaphor and cognition. Kluver, Dodrecht (1992)

    Book  Google Scholar 

  10. Krumnack, U., Schwering, A., Gust, H., Kühnberger, K.U.: Restricted higher-order anti-unification for analogy making. In: Orgun, M.A., Thornton, J. (eds.) AI 2007. LNCS (LNAI), vol. 4830, pp. 273–282. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. McNeill, F., Bundy, A.: Dynamic, automatic, first-order ontology repair by diagnosis of failed plan execution. IJSWIS (International Journal on Semantic Web and Information Systems) special issue on Ontology Matching 3, 1–35 (2007)

    Article  Google Scholar 

  12. Schmidt, M.: Restricted Higher-Order Anti-Unification for Heuristic-Driven Theory Projection, PICS (Publications of the Institute of Cognitive Science), vol. 31. University of Osnabrück, Osnabrück (2010)

    Google Scholar 

  13. Vosniadou, S., Ortony, A.: Similarity and analogical reasoning. Cambridge University Press, Cambridge (1989)

    Book  Google Scholar 

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Schmidt, M., Gust, H., Kühnberger, KU., Krumnack, U. (2011). Refinements of Restricted Higher-Order Anti-Unification for Heuristic-Driven Theory Projection. In: Bach, J., Edelkamp, S. (eds) KI 2011: Advances in Artificial Intelligence. KI 2011. Lecture Notes in Computer Science(), vol 7006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24455-1_28

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  • DOI: https://doi.org/10.1007/978-3-642-24455-1_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24454-4

  • Online ISBN: 978-3-642-24455-1

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