Labeled Calculi and Finite-Valued Logics

A general class of labeled sequent calculi is investigated, and necessary and sufficient conditions are given for when such a calculus is sound and complete for a finite-valued logic if the labels are interpreted as sets of truth values (sets-as-signs). Furthermore, it is shown that any finite-valued logic can be given an axiomatization by such a labeled calculus using arbitrary "systems of signs," i.e., of sets of truth values, as labels. The number of labels needed is logarithmic in the number of truth values, and it is shown that this bound is tight.     

Embedding Logics into Product Logic

We construct a faithful interpretation of ukasiewicz's logic in product logic (both propositional and predicate). Using known facts it follows that the product predicate logic is not recursively axiomatizable.We prove a completeness theorem for product logic extended by a unary connective of Baaz [1]. We show that Gödel's logic is a sublogic of this extended product logic.We also prove NP-completeness of the set of propositional formulas satisfiable in product logic (resp. in Gödel's logic).     

Food Avoidance Learning in Squirrel Monkeys and Common Marmosets

Using a conditioned food avoidance learning paradigm, six squirrel monkeys (Saimiri sciureus) and six common marmosets (Callithrix jacchus) were tested for their ability to (1) reliably form associations between visual or olfactory cues of a potential food and its palatability and (2) remember such associations over prolonged periods of time. We found (1) that at the group level both species showed one-trial learning with the visual cues color and shape, whereas only the marmosets were able to do so with the olfactory cue, (2) that all individuals from both species learned to reliably avoid the unpalatable food items within 10 trials, (3) a tendency in both species for quicker acquisition of the association with the visual cues compared with the olfactory cue, (4) a tendency for quicker acquisition and higher reliability of the aversion by the marmosets compared with the squirrel monkeys, and (5) that all individuals from both species were able to reliably remember the significance of the visual cues, color and shape, even after 4 months, whereas only the marmosets showed retention of the significance of the olfactory cues for up to 4 weeks. Furthermore, the results suggest that in both species tested, illness is not a necessary prerequisite for food avoidance learning but that the presumably innate rejection responses toward highly concentrated but nontoxic bitter and sour tastants are sufficient to induce robust learning and retention.     

Bicriteria cost versus service analysis of a distribution network—a case study

In order to improve the distribution system for the Nordic countries the BASF AG considered 13 alternative scenarios to the existing system. These involved the construction of warehouses at various locations. For every scenario the transportation, storage, and handling cost incurred was to be as low as possible, where restrictions on the delivery time were given. The scenarios were evaluated according to (minimal) total cost and weighted average delivery time. The results led to a restriction to only three cases involving only one new warehouse each. For these, a more accurate model for the cost was developed and evaluated, yielding results similar to a simple linear model. Since there were no clear preferences between cost and delivery time, the final decision was chosen to represent a compromise between the two criteria. Copyright © 1999 John Wiley & Sons, Ltd.     

<Emphasis Type="Italic">Viktor Žirmunskij and German</Emphasis> Mundartforschung

German dialect geography developed, inter alia, as a means to compensate the shortcomings of the Young Grammarians’ approach to language. In contrast to the latter, it was conceived of to be a sociolinguistic project, constituting thereby one link between the development of Soviet and German linguistics. The article tries to answer such questions as who initially participated in transferring ideas of German dialectology to the Soviet Union and what kind of motivations underlay those transfers. Combining biographical facts with systematic aspects, the article surveys the filiations of some productive ideas with the help of archival sources, i.e. letters of the Soviet scholars Dinges (1891–1932) and Viktor Žirmunskij (1891–1971). Finally, I try to single out the elements in Žirmunskij dialect geography, which are specifically sociolinguistic.

Priming the mental time-line: effects of modality and processing mode

The notion of a mental time-line (i.e., past corresponds to left and future corresponds to right) supports the conceptual metaphor view assuming that abstract concepts like “time” are grounded in cognitively more accessible concepts like “space.” In five experiments, we further investigated the relationship between temporal and spatial representations and examined whether or not the spatial correspondents of time are unintentionally activated. We employed a priming paradigm, in which visual or auditory prime words (i.e., temporal adverbs such as yesterday, tomorrow) preceded a colored square. In all experiments, participants discriminated the color of this square by responding with the left or the right hand. Although the temporal reference of the priming adverb was task irrelevant in Experiment 1, visually presented primes facilitated responses to the square in correspondence with the direction of the mental time-line. This priming effect was absent in Experiments 2, 3, and 5, in which the primes were presented auditorily and the temporal reference of the words could be ignored. The effect, however, emerged when attention was oriented to the temporal content of the auditory prime words in Experiment 4. The results suggest that task demands differentially modulate the activation of the mental time-line within the visual and auditory modality and support a flexible association between conceptual codes.