Abstract
In this paper we discuss a cognitively plausible way to represent statements of typicality. The intuition behind our approach is based on the ability of people to conjure up and reason about a mental concept, or image, which is a typical or generic instance corresponding to a general (indefinite) description. We formalize this intuition by extending a first-order language to include representations of these mental concepts in the form of constant symbols, which we call typ constants, thereby allowing the language to match, more closely, the mental ontology of a commonsense reasoner who reasons with and about such typical mental concepts. Defaults are encoded by simply applying predicate letters to these typ constants.
This approach also quite naturally exhibits some highly desirable formal properties. However, the typ constant approach runs into a limitation, namely the inability to represent what we call range defaults, which turns out to be a difficulty for other default formalisms as well.
This research was supported in part by U.S. Army Research Office grant DAAL03-88-K0087.
Our thanks to Madhura Nirkhe and Chitta Baral for their helpful comments.
Preview
Unable to display preview. Download preview PDF.
References
Brachman, R. 1985. I lied about the trees or, defaults and definitions in knowledge representaion. AI Magazine, 6(3):80–93.
Delgrande, J. P. 1987. A first-order conditional logic for prototypical properties. Artificial Intelligence, 33(1):105–130.
Delgrande, J. P. 1988. An approach to default reasoning based on first-order conditional logic: Revised report. Artificial Intelligence, 36(1):63–90.
Elgot-Drapkin, J. and Perlis, D. 1990. Reasoning situated in time I: Basic concepts. Journal of Experimental and Theoretical Artificial Intelligence, 2(1):75–98.
Elgot-Drapkin, J. 1988. Step-logic: Reasoning Situated in Time. PhD thesis, Department of Computer Science, University of Maryland, College Park, Maryland.
[Etherington et al., 1990] Etherington, D., Kraus, S., and Perlis, D. 1990. Nonmonotonicity and the scope of reasoning: Preliminary report. In Proceedings of the 8th National Conference on Artificial Intelligence, pages 600–607, Boston, MA. AAAI.
Etherington, D. 1988. Reasoning with Incomplete Information. Research Notes in Artificial intelligence. Morgan Kaufmann, Los Altos, CA.
Levesque, H. 1986. Making believers out of computers. Artificial Intelligence, 30:81–108.
McCarthy, J. 1979. First order theories of individual concepts and propositions. Machine Intelligence, 9:129–147.
McCarthy, J. 1980. Circumscription—a form of non-monotonic reasoning. Artificial Intelligence, 13(1,2):27–39.
McDermott, D. and Doyle, J. 1980. Non-monotonic logic I. Artificial Intelligence, 13(1,2):41–72.
Perlis, D. 1985. Languages with self reference I: Foundations. Artificial Intelligence, 25:301–322.
Perlis, D. 1986. On the consistency of commonsense reasoning. Computational Intelligence, 2:180–190.
Rapaport, W. 1981. How to make the world fit our language: An essay in Meinongian semantics. Grazer Philosophische Studien, 14:1–21.
Rapaport, W. 1986. Logical foundations for belief representation. Cognitive Science, 10:371–422.
Reiter, R. 1980. A logic for default reasoning. Artificial Intelligence, 13(1,2):81–132.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Miller, M.J., Perlis, D. (1991). Typicality constants and range defaults: Some pros and cons of a cognitive model of default reasoning. In: Ras, Z.W., Zemankova, M. (eds) Methodologies for Intelligent Systems. ISMIS 1991. Lecture Notes in Computer Science, vol 542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54563-8_119
Download citation
DOI: https://doi.org/10.1007/3-540-54563-8_119
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54563-7
Online ISBN: 978-3-540-38466-3
eBook Packages: Springer Book Archive