No. 26 (2023)
Artículos

Inheritance of Properties as an Inferential Mechanism in the Context of Non-monotonic Reasoning

Jorge Andrés Morales Delgado
Universidad de Costa Rica
Bio
Published June 3, 2023

Keywords:

deduction, inheritance of properties, knowledge representation, logic, non-monotonic logic, reasoning, semantic networks
How to Cite
Morales Delgado, J. A. (2023). Inheritance of Properties as an Inferential Mechanism in the Context of Non-monotonic Reasoning. Revista Iberoamericana De Argumentación, (26), 1–20. https://doi.org/10.15366/ria2023.26.001

Abstract

Our work analyses the inheritance of properties in the context of semantic networks as a representational framework for non-monotonic reasoning. In particular, we discuss the various nuances of the notion of inheritance: (a) simple inheritance with positive links, (b) simple inheritance with positive and negative links and, (c) multiple inheritance with positive and negative links. Likewise, inheritance of properties is approached from an epistemological perspective, and we assess the strategies of employing this mechanism as a form of deduction in non-monotonic semantic networks. Finally, we propose the thesis that the elucidation of the foundations of the notion of inheritance of properties is crucial for the understanding of more complex problems within non-monotonic reasoning.

Downloads

Download data is not yet available.

References

Anderson, M. L., Gomaa, W., Grant, J., & Perlis, D. (2013). An Approach to Human-Level

Commonsense Reasoning. In K. Tanaka, F. Berto, E. Mares, & F. Paoli (Eds.), Paracon-

sistency: Logic and Applications (pp. 201–222). Springer Netherlands.

https://doi.org/10.1007/978-94-007-4438-7_12

Brachman, R. J. (1977). What’s in a concept: Structural foundations for semantic networks. International Journal of Man-Machine Studies, 9(2), 127–152. https://doi.org/10.1016/S0020-7373(77)80017-5

Brachman. (1983). What IS-A Is and Isn’t: An Analysis of Taxonomic Links in Semantic Net-works. Computer, 16(10), 30–36. https://doi.org/10.1109/MC.1983.1654194

Brewka, G., Niemelä, I., & Truszczy?ski, M. (2008). Nonmonotonic Reasoning. In F. van Harmelen, V. Lifschitz, & B. Porter (Eds.), Foundations of Artificial Intelligence (Vol. 3, pp. 239–284). Elsevier. https://doi.org/10.1016/S1574-6526(07)03006-4

Carpenter, B., & Thomason, R. (1990). Inheritance Theory and Path-Based Reasoning: An In-troduction. In H. E. Kyburg, R. P. Loui, & G. N. Carlson (Eds.), Knowledge Representa-tion and Defeasible Reasoning (pp. 309–343). Springer Netherlands. https://doi.org/10.1007/978-94-009-0553-5_13

Gabbay, D. M., & Woods, J. (2008). Resource-origins of Nonmonotonicity. Studia Logica, 88(1), 85–112. https://doi.org/10.1007/s11225-008-9100-2

Gabbay, D. M., & Schlechta, K. (2016). Defeasible Inheritance. In D. M. Gabbay & K. Schlechta (Eds.), A New Perspective on Nonmonotonic Logics (pp. 75–90). Springer In-ternational Publishing. https://doi.org/10.1007/978-3-319-46817-4_3

Horty, J. F., & Thomason, R. H. (1988). Mixing strict and defeasible inheritance. Proceedings of the Sev-enth AAAI National Conference on Artificial Intelligence, 427–432.

Horty, J. F. (1994). Some Direct Theories of Nonmonotonic Inheritance. In Handbook of Logic in Artificial Intelligence and Logic Programming (vol. 3): Nonmonotonic Reasoning and Uncertain Reasoning (3, 111–187). Oxford University Press.

Horty, J. F., Thomason, R. H., & Touretzky, D. S. (1990). A skeptical theory of inheritance in nonmono-tonic semantic networks. Artificial Intelligence, 42(2), 311–348. https://doi.org/10.1016/0004-3702(90)90057-7

Kraus, S., Lehmann, D., & Magidor, M. (1990). Nonmonotonic Reasoning, Preferential Models and Cu-mulative Logics. Artificial Intelligence, 44(1–2), 167–207.

McDermott, D., & Doyle, J. (1980). Non-monotonic logic I. Artificial Intelligence, 13(1–2), 41–72.

Quillian, M. R. (1967). Word concepts: A Theory and Simulation of some Basic Semantic Capabilities. Behavioral Science, 12(5), 410–430. https://doi.org/10.1002/bs.3830120511

Reiter, R. (1980). A Logic for Default Reasoning. Artificial Intelligence, 13(1), 81–132. https://doi.org/10.1016/0004-3702(80)90014-4

Simonet, G., & Ducournau, R. (1994). On Stein’s paper: Resolving ambiguity in nonmonotonic inheritance hierarchies. Artificial Intelligence, 71(1), 183–193. https://doi.org/10.1016/0004-3702(94)90065-5

Stein, L. A. (1992). Resolving ambiguity in nonmonotonic inheritance hierarchies. Artificial Intelligence, 55(2–3), 259–310. https://doi.org/10.1016/0004-3702(92)90057-5

Strasser, C., & Antonelli, G. A. (2019). Non-monotonic Logic. In E. N. Zalta (Ed.), The Stanford Encyclo-pedia of Philosophy (Summer 2019). Metaphysics Research Lab, Stanford University. https://plato.stanford.edu/archives/sum2019/entries/logic-nonmonotonic/

Touretzky, D. S. (1986). The mathematics of inheritance systems (Vol. 8). Morgan Kaufmann.

Truszczy?ski, M. (2006). Nonmonotonic logics and their algebraic foundations.

In International Workshop on Computer Science Logic (pp. 58-71). Springer, Berlin, Hei

delberg.