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    Clarke's vector-algebraic framework allows statistical re... — Carmelics
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    Supports→Degrees of entailment can be construed in terms of entailment probabilities between logical forms of premise and hypothesis sentences.

    Clarke's vector-algebraic framework allows statistical relationships between these logical forms.

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    Degrees of entailment can be construed in terms of entailment probabilities betw...Each sentence may have multiple possible logical forms.Entailment probability can be computed by relating each possible logical form of...

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    Statistical semantics can be formalized using vector algebra.75%The occurrence frequencies of a linguistic expression across distinct ...70%Von Neumann derived value constraints from statistical constraints by ...70%Carnap (1945, 1950) and Popper (1934) developed frameworks combining m...70%

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    It is noteworthy that the conception of sentences as meaning representations echoes Montague's contention that language is logic. Of course, Montague understood “sentences” as unambiguous syntactic trees. But research in textual entailment seems to be moving towards a similar conception, as exemplified in the work of Dagan et al. (2008), where statistical entailment relations are based on syntactic trees, and these are generalized to templates that may replace subtrees by typed variables. Also C

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