A modal interpretation of the logic of interrogation

Abstract
We propose a novel interpretation of natural-language questions using a modal predicate logic of knowledge. Our approach brings standard model-theoretic and proof-theoretic techniques from modal logic to bear on questions. Using the former, we show that our interpretation preserves Groenendijk and Stokhof's answerhood relation, yet allows an extensional interpretation. Using the latter, we get a sound and complete proof procedure for the logic for free. Our approach is more expressive; for example, it easily treats complex questions with operators that scope over questions. We suggest a semantic criterion that restricts what natural-language questions can express. We integrate and generalize much previous work on the semantics of questions, including Beck and Sharvit's families of subquestions, non-exhaustive questions, and multi-party conversations.
Keywords natural language semantics  questions  quantification  modal logic
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DOI 10.1007/s10849-005-9012-8
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References found in this work BETA
Questions in Montague English.Charles L. Hamblin - 1973 - Foundations of Language 10 (1):41-53.
A Flexible Approach to Exhaustivity in Questions.Sigrid Beck & Hotze Rullmann - 1999 - Natural Language Semantics 7 (3):249-298.
Questioning to Resolve Decision Problems.van Rooy Robert - 2003 - Linguistics and Philosophy 26 (6):727-763.
Bilattices and the Semantics of Natural Language Questions.R. Nelken & N. Francez - 2002 - Linguistics and Philosophy 25 (1):37-64.

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Modal Logic and Model Theory.Giangiacomo Gerla & Virginia Vaccaro - 1984 - Studia Logica 43 (3):203 - 216.
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