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Decidability of a Logic for Order of Magnitude Qualitative Reasoning with Comparability and Negligibility Relations

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Advances in Artificial Intelligence (CAEPIA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8109))

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Abstract

Qualitative Reasoning is a branch of Artificial Intelligence that automates the reasoning about the behavior of physical systems by using qualitative rather than precise quantitative information. An approach in this field is Order-of-magnitude Reasoning which deals with coarse values of different orders of magnitude which are abstractions of precise values. Several multimodal logics has been introduced to deal with Orders-of-magnitude systems proving their correctness and completeness although their decidability has been scarcely studied. In this paper we focus our attention on this problem showing that a pioneering logic in this area has the strong model property.

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References

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Burrieza, A. (2013). Decidability of a Logic for Order of Magnitude Qualitative Reasoning with Comparability and Negligibility Relations. In: Bielza, C., et al. Advances in Artificial Intelligence. CAEPIA 2013. Lecture Notes in Computer Science(), vol 8109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40643-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-40643-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40642-3

  • Online ISBN: 978-3-642-40643-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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