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On relations between intervals
Information Processing Letters
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Artificial Intelligence
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Artificial Intelligence
Reasoning about temporal relations: a maximal tractable subclass of Allen's interval algebra
Journal of the ACM (JACM)
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Communications of the ACM
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SSD '91 Proceedings of the Second International Symposium on Advances in Spatial Databases
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KI '97 Proceedings of the 21st Annual German Conference on Artificial Intelligence: Advances in Artificial Intelligence
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Proceedings of the First Joint Workshop on Contemporary Knowledge Engineering and Cognition
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Journal of Cognitive Neuroscience
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Artificial Intelligence in Medicine
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COSIT'07 Proceedings of the 8th international conference on Spatial information theory
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SC'06 Proceedings of the 2006 international conference on Spatial Cognition V: reasoning, action, interaction
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KI'05 Proceedings of the 28th annual German conference on Advances in Artificial Intelligence
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COSIT'05 Proceedings of the 2005 international conference on Spatial Information Theory
Ordering events for dynamic geospatial domains
COSIT'05 Proceedings of the 2005 international conference on Spatial Information Theory
SC'04 Proceedings of the 4th international conference on Spatial Cognition: reasoning, Action, Interaction
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Cognitive Systems Research
Assessing similarities of qualitative spatio-temporal relations
SC'12 Proceedings of the 2012 international conference on Spatial Cognition VIII
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Qualitative spatial reasoning (QSR) is often claimed to be cognitively more plausible than conventional numerical approaches to spatial reasoning, because it copes with the indeterminacy of spatial data and allows inferences based on incomplete spatial knowledge. The paper reports experimental results concerning the cognitive adequacy of an important approach used in QSR, namely the spatial interpretation of the interval calculus introduced by Allen (1983). Knauff, Rauh and Schlieder (1995) distinguished between the conceptual and inferential cognitive adequacy of Allen's interval calculus. The former refers to the thirteen base relations as a representational system and the latter to the compositions of these relations as a tool for reasoning. The results of two memory experiments on conceptual adequacy show that people use ordinal information similar to the interval relations when representing and remembering spatial arrangements. Furthermore, symmetry transformations on the interval relations were found to be responsible for most of the errors, whereas conceptualneighborhood theory did not appear to correspond to cognitively relevant concepts. Inferential adequacy was investigated by two reasoning experiments and the results show that in inference tasks where the number of possible interval relations for the composition is more than one, subjects ignore numerous possibilities and interindividually prefer the same relations. Reorientations and transpositions operating on the relations seem to be important for reasoning performance as well, whereas conceptual neighborhood did not appear to affect the difficulty of reasoning tasks based on the interval relations.