This paper describes several deficiencies of PLANT/ds, an expert system for the diagnosis of soybean diseases. This production system employs both human and machine derived rules. The rule application mechanism for both rule groups suffer from improper treatment of incomplete data. The problem is illustrated by several examples, and a solution is proposed. Implementation of a new version of PLA...

Abstract We study nonmonotonic rule systems with rules that admit infinitely many restraints. We concentrate on the case when the constraints of rules form a recursive sets and there is a uniform enumeration of codes for rules. We show that the theory developed for nonmonotnic rule systems admitting the rules with finite number of restraints can be lifted to such rule systems. We give tight est...

Rare itemsets are likely to be of great interest because they often relate to high-impact transactions which may give rise to rules of great practical significance. Research into the rare association rule mining problem has gained momentum in the recent past. In this paper, we propose a novel approach that captures such rare rules while ensuring that redundant rules are eliminated. Extensive te...

We give an extension of the famous Schensted correspondence to the case of ribbon tableaux, where ribbons are allowed to be of different sizes. This is done by extending Fomin’s growth diagram approach of the classical correspondence, in particular by allowing signs in the enumeration. As an application, we give in particular a combinatorial proof, based on the Murnaghan–Nakayama rule, for the ...

Proprietary rule, whereby the state is owned by a ruler who maximizes tax revenues minus the costs of governing, is a useful ideal type that describes many of the states that have ever existed. The study of proprietary rule and its public …nance, however, is comparatively scarce. I argue that proprietary rule emerges out of anarchy and its main alternative self-governance has di¢ culties surviv...

One of the most common administrative tasks that organizations perform is the assignment of people to positions based on the people’s preferences. A computer program that chooses an assignment automatically would be useful, but what assignment rule should it follow? I proposed the rule of least-unpopularity-factor matching, which is difficult to subvert and always designates a “best” assignment...

In a homogeneous jury, in which each vote is correct with the same probability, and each pair of votes correlates with the same correlation coefficient, there exists a correlation-robust voting quota, such that the probability of a correct verdict is independent of the correlation coefficient. For positive correlation, an increase in the correlation coefficient decreases the probability of a co...

Let (G, K) be a Hermitian symmetric pair and let g and k denote the corresponding complexified Lie algebras. Let g = k⊕ p+⊕ p− be the usual decomposition of g as a k-module. K acts on the symmetric algebra S(p−). We determine the K-structure of all K-stable ideals of the algebra. Our results resemble the Pieri Rule for Young diagrams. The result implies a branching rule for a class of finite di...