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Logic.Counting.pdf

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It explores first-order logic with counting operators (FO(#)) and its fragments, such as monadic first-order logic with counting (MFO(#)), to represent numerical syllogisms and basic reasoning about comparative size. The authors also investigate strengthenings of MFO(#), including monadic second-order counting logic and modal logic of binary relations, and discuss the role of counting in semantic evaluation procedures for quantifier expressions. The paper aims to lower the complexity of FO(#) by changing the semantics of counting and to connect the analysis to empirical findings in cognitive science.

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It explores first-order logic with counting operators (FO(#)) and its fragments, such as monadic first-order logic with counting (MFO(#)), to represent...

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File Format: PDF
File Size: 807 KB
Pages: 68
Language: EN
Total Downloads: 57
Last Updated: 4 hours ago

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