Wajsberg algebras and post algebras

We give a presentation of Post algebras of ordern+1 (n1) asn+1 bounded Wajsberg algebras with an additional constant, and we show that a Wajsberg algebra admits a P-algebra reduct if and only if it isn+1 bounded.This autor is partially supported by Grant PB90-0465-C02-01 of D.G.I.C.Y.T. of SpainPresented byJan Zygmunt     

Stimulus duration as a measure of stimulus generalization

Four pigeons in the line-positive group were trained with a vertical line on a green background that signalled intermittent reinforcement while a plain green field signalled extinction. Four pigeons in the line-negative group were trained with the opposite discrimination. Response to a control key terminated any trial and initiated the next trial. The birds also used the control key during generalization tests to control the durations of trials in which various line orientations were presented. These durations were summed to provide generalization gradients of stimulus duration that were positive or negative in accordance with the trained discriminations. In Experiment 2, birds from the line-positive group were tested with a procedure in which the control key was not available on some trials. This provided an independent assessment of response rates to the test stimuli. These rates were used to predict the stimulus durations obtained when the control key was available. The findings supported a general model for the prediction of response distributions among concurrent stimuli from rates observed with single stimuli.     

Conformity as a function of task generalization and relative competence

Subject correctness and group agreement were varied for college subjects engaged in a light discrimination task. On another task, employing multiple-choice questions about Canada, the dependent variable of conformity was assessed to examine generalization of relative competence formed on the light discrimination task. It was seen that (1) relative competence was seen to mediate conformity for a specific task (Canadian Knowledge Inventory), but did not generalize across tasks (i.e. from the light discrimination task to the Canadian Knowledge Inventory); (2) with respect to the Canadian Knowledge Inventory, subjects who perceived themselves as more competent than the group did not conform as much as those who either perceived themselves as less competent than or as competent as the group; (3) the experimental manipulations did not affect conformity, further supporting the findings that perceived competence does not generalize across classes of tasks; (4) females conformed more than males: and (5) nonsuspicious subjects conformed more than suspicious subjects.     

Continuous representability of interval orders and biorders

We furnish a characterization of the representability of an interval order through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Our techniques lean on the key concept of a biorder. We introduce the concept of a natural topology for an interval order, and through such concept we extend the classical biorder approach to the continuous case.     

Stimulus generalization as a function of stimulus novelty and familiarity in rats

Three experiments used rats as subjects to investigate the generalization of conditioned responding between stimuli as a function of the subjects' exposure to these cues prior to conditioning. Experiment 1 used a between-subjects design, food as the reinforcer, and measured the tendency of subjects to approach the site of food delivery during the stimuli. Generalization of this response was more marked when the training and test stimuli were equated in terms of their novelty (i.e., when both were novel or both were familiar) than when the stimuli differed in this respect (i.e., when one was novel and the other was familiar). Experiments 2a and 2b used within-subjects designs to confirm the reliability of the results of Experiment 1. Implications of these results for current theories of stimulus representation are discussed.     

The logic of algebraic rules as a generalization of equational logic

In this paper we start an investigation of a logic called the logic of algebraic rules. The relation of derivability of this logic is defined on universal closures of special disjunctions of equations extending the relation of derivability of the usual equational logic. The paper contains some simple theorems and examples given in justification for the introduction of our logic. A number of open questions is posed.