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Proving self-utterances
Authors:Michael Miller  Donald Perlis
Affiliation:(1) Computer Science Department, Systems Research Center, University of Maryland, 20742 College Park, MD, USA;(2) Computer Science Department, Institute for Advanced Computer Studies, University of Maryland, 20742 College Park, MD, USA
Abstract:We study the Knights and Knaves problem, and find that for a proper treatment via theorem-proving, an interaction with natural language processing research is helpful. In particular, we discuss Ohlbach's claim that first-order logic is not well suited to handling this problem. Then we provide an interpretation of the problem using indexicals, axiomatize it, and prove the desired result. We conclude by suggesting a broader context for dealing with lsquoself-utterancesrsquo in automatic theorem-proving.
Keywords:Indexicals  knowledge representation  first-order logic  situated logic  utterances
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