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» Numeric Reasoning with Relative Orders of Magnitude
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AAAI
1993
13 years 6 months ago
Numeric Reasoning with Relative Orders of Magnitude
In [Dague, 1993], a formal system ROM(K) involving four relations has been defined to reason with relative orders of magnitude. In this paper, problems of introducing quantitative...
Philippe Dague
CAEPIA
2009
Springer
13 years 5 months ago
Closeness and Distance Relations in Order of Magnitude Qualitative Reasoning via PDL
The syntax, semantics and an axiom system for an extension of Propositional Dynamic Logic (PDL) for order of magnitude qualitative reasoning which formalizes the concepts of close...
Alfredo Burrieza, Emilio Muñoz-Velasco, Man...
CAEPIA
2003
Springer
13 years 10 months ago
A Multimodal Logic Approach to Order of Magnitude Qualitative Reasoning
Non-classical logics have proven to be an adequate framework to formalize knowledge representation. In this paper we focus on a multimodal approach to formalize order-of-magnitude ...
Alfredo Burrieza, Manuel Ojeda-Aciego
CAEPIA
2005
Springer
13 years 10 months ago
Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility
Abstract. In this paper, we enrich the logic of order of magnitude qualitative reasoning by means of a new notion of negligibility which has very useful properties with respect to ...
Alfredo Burrieza, Emilio Muñoz-Velasco, Man...
AAAI
1993
13 years 6 months ago
Model Simplification by Asymptotic Order of Magnitude Reasoning
One of the hardest problems in reasoning about a physical system is finding an approximate model that is mathematically tractable and yet captures the essence of the problem. Appr...
Kenneth Man-kam Yip