Abstract
We introduce a Propositional Dynamic Logic for order of magnitude reasoning in order to formalize qualitative operations of sum and product. This new logic has enough expressive power to consider, for example, the concept of closeness, and to study some interesting properties for the qualitative operations, together with the logical definability of these properties. Finally, we show the applicability of our approach on the basis of some examples.
Partially supported by projects TIN2006-15455-C03-01 and P6-FQM-02049.
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Burrieza, A., Muñoz-Velasco, E., Ojeda-Aciego, M. (2008). A Propositional Dynamic Logic Approach for Order of Magnitude Reasoning. In: Geffner, H., Prada, R., Machado Alexandre, I., David, N. (eds) Advances in Artificial Intelligence – IBERAMIA 2008. IBERAMIA 2008. Lecture Notes in Computer Science(), vol 5290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88309-8_2
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DOI: https://doi.org/10.1007/978-3-540-88309-8_2
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