Measurement-Theoretic Foundations of Logic for Better Questions and Answers

被引：1
作者：
Suzuki, Satoru [1 ]
机构：
[1] Komazawa Univ, Fac Arts & Sci, Setagaya Ku, 1-23-1 Komazawa, Tokyo 1548525, Japan
来源：
BAYESIAN NATURAL LANGUAGE SEMANTICS AND PRAGMATICS | 2015年
关键词：
(Conditional) entropy; Information theory; Logic for better questions and answers; Measurement theory; Qualitative conditional entropy relation; Representation theorem;
D O I：
10.1007/978-3-319-17064-0_3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Groenendijk and Stokhof (Varieties of formal semantics, 143-170, 1984) propose a version of partition-based semantics to analyse questions and answers. In order to compare the goodness of answers, they use qualitative orderings among answers. Groenendijk and Stokhof's qualitative method is too coarse-grained to achieve the goal. In order to overcome the limitations, van Rooij (Formal theories of information: from Shannon to semantic information theory and general concepts of information, LNCS, 161-192, 2009) proposes an information-theoretic approach based on conditional entropy. The aims of this paper are to construct a qualitative approach that is as fine-grained as the information-theoretic one, in terms of measurement theory on the basis of Domotor (Information and inference, 148-194, 1970), and to propose a new version of complete logic for better questions and answers-Better-Question-and-Answer Logic (BQAL)-the model of the language of which is based on the qualitative and measurement-theoretic approach.
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收藏
页码：43 / 69
页数：27
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