Abstract
It is a desirable feature of knowledge bases that they are able to accommodate and reason across the different perspectives that may exist on a particular theory or situation. With the aim of obtaining an adequate logic for this problem, the knowledge representation community has extensively researched into the formalization of contexts as first-class citizens. However, most of the proposed logics of context only deal with the propositional case, which for many applications is not enough, and those tackling the quantificational case face many counterintuitive restrictions. In this paper, we present a model-theoretic semantics that, based on a cognitive approach to the notions of context and meaning, succeeds in addressing the quantificational case in a flexible manner that overcomes the limitations of the previous initiatives. The expressive power of the system will be evaluated in the paper by formalizing some of the benchmark examples that can be found in the literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akman, V., Surav, M.: Steps Toward Formalizing Context. AI Magazine 17(3), 55–72 (1996)
Barwise, J., Perry, J.: Situations and Attitudes. MIT Press, Cambridge (1983)
Bouquet, P., Ghidini, C., Giunchiglia, F., Blanzieri, E.: Theories and Uses of Context in Knowledge Representation and Reasoning. Journal of Pragmatics 35(3), 455–484 (2003)
Buvac, S.: Quantificational Logic of Context. In: Proceedings of the 13th National Conference on Artificial Intelligence (AAAI 1996), pp. 600–606. AAAI Press, Menlo Park (1996)
Buvac, S., Mason, I.A.: Propositional Logic of Context. In: Proceedings of the 11th National Conference on Artificial Intelligence (AAAI 1993), pp. 412–419. AAAI Press, Menlo Park (1993)
Devlin, K.: Chap. Situation Theory and Situation Semantics. In: Handbook of the History of Logic. Logic and the Modalities in the Twentieth Century, vol. 7, pp. 601–664. Elsevier, Amsterdam (2006)
Fauconnier, G.: Mental Spaces: Aspects of Meaning Construction in Natural Language. MIT Press, Cambridge (1985)
Gallese, V., Lakoff, G.: The Brain’s Concepts: The Role of the Sensory-motor System in Conceptual Knowledge. Cognitive Neuropsychology 22(3-4), 455–479 (2005)
Ghidini, C., Giunchiglia, F.: Local Models Semantics, or Contextual Reasoning = Locality + Compatibility. Artificial Intelligence 127(2), 221–259 (2001)
Ghidini, C., Serafini, L.: Distributed First Order Logics. In: Frontiers of Combining Systems, vol. 2, pp. 121–139. Research Studies Press (2000)
Giunchiglia, F., Serafini, L.: Multilanguage Hierarchical Logics or: How we can do without Modal Logics. Artificial Intelligence 65(1), 29–70 (1994)
Guha, R., McCarthy, J.: Varieties of Context. In: Blackburn, P., Ghidini, C., Turner, R.M., Giunchiglia, F. (eds.) CONTEXT 2003. LNCS, vol. 2680, pp. 164–177. Springer, Heidelberg (2003)
Guha, R.V.: Contexts: a formalization and some applications. PhD thesis, Stanford University, California, USA (1992)
Hayes, P.J.: Contexts in Context. In: AAAI Fall Symposium of Context in Knowledge Representation and Natural Language. AAAI Press, Menlo Park (1997)
Kaplan, D.: On the Logic of Demonstratives. Journal of Philosophical Logic 8, 81–98 (1978)
Kosslyn, S.M.: Mental Images and the Brain. Cognitive Neuropsychology 22, 333–347 (2005)
Lewis, D.K.: Index, Context, and Content. In: Philosophy and Grammar, pp. 79–100. D. Reidel, Dordrecht (1980)
Lewis, D.K.: On the Plurality of Worlds. Blackwell Publishing, Malden (1986)
McCarthy, J.: Chap. Generality in Artificial Intelligence. In: Formalizing Common Sense: Papers by John McCarthy, pp. 226–236. Ablex Publishing, Greenwich (1990)
McCarthy, J.: Notes on Formalizing Contexts. In: Proceedings of the 13th International Joint Conference on Artificial Intelligence (IJCAI 1993), pp. 555–560. Morgan Kaufmann, San Francisco (1993)
Montague, R.: Formal Philosophy: Selected Papers of Richard Montague. Yale University Press, New Haven (1974)
Nardi, D., Brachman, R.J.: An Introduction to Description Logics. In: Description Logic Handbook, pp. 5–44. Cambridge University Press, Cambridge (2002)
Quine, W.V.O.: Propositional Objects. In: Ontological Relativity and Other Essays (J.Dewey Essays in Philosophy), pp. 139–160. Columbia University Press, New York (1969)
Serafini, L., Bouquet, P.: Comparing Formal Theories of Context in AI. Artificial Intelligence 155(1–2), 41–67 (2004)
Simons, P.: Parts: A Study in Ontology. Oxford University Press, Oxford (2003)
Thomason, R.H.: Type Theoretic Foundations for Context, Part 1: Contexts as Complex Type-Theoretic Objects. In: Bouquet, P., Serafini, L., Brézillon, P., Benercetti, M., Castellani, F. (eds.) CONTEXT 1999. LNCS (LNAI), vol. 1688, pp. 352–374. Springer, Heidelberg (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Altuna, A. (2008). Embodied Context Semantics. In: Schewe, KD., Thalheim, B. (eds) Semantics in Data and Knowledge Bases. SDKB 2008. Lecture Notes in Computer Science, vol 4925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88594-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-540-88594-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88593-1
Online ISBN: 978-3-540-88594-8
eBook Packages: Computer ScienceComputer Science (R0)