A Resource-bounded Default Logic

In J. Delgrande & T. Schaub (eds.), Proceedings of NMR 2004. AAAI (2004)
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Abstract

This paper presents statistical default logic, an expansion of classical (i.e., Reiter) default logic that allows us to model common inference patterns found in standard inferential statistics, including hypothesis testing and the estimation of a populations mean, variance and proportions. The logic replaces classical defaults with ordered pairs consisting of a Reiter default in the first coordinate and a real number within the unit interval in the second coordinate. This real number represents an upper-bound limit on the probability of accepting the consequent of an applied default and that consequent being false. A method for constructing extensions is then defined that preserves this upper bound on the probability of error under a (skeptical) non-monotonic consequence relation.

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2009-04-07

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Gregory Wheeler
Frankfurt School Of Finance And Management

Citations of this work

Probabilistic Logics and Probabilistic Networks.Rolf Haenni, Jan-Willem Romeijn, Gregory Wheeler & Jon Williamson - 2010 - Dordrecht, Netherland: Synthese Library. Edited by Gregory Wheeler, Rolf Haenni, Jan-Willem Romeijn & and Jon Williamson.
Rational acceptance and conjunctive/disjunctive absorption.Gregory Wheeler - 2006 - Journal of Logic, Language and Information 15 (1-2):49-63.
Epistemology and artificial intelligence.Gregory R. Wheeler & Luís Moniz Pereira - 2004 - Journal of Applied Logic 2 (4):469-493.

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References found in this work

Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
Probability and the logic of rational belief.Henry Ely Kyburg - 1961 - Middletown, Conn.,: Wesleyan University Press.
Logical Foundations of Probability.Ernest H. Hutten - 1950 - Journal of Symbolic Logic 16 (3):205-207.

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