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About this paper
Daoud Clarke
The authors present Riesz Logic, a formal logic that interprets an ordering on distributional word vectors as entailment. Its formulas denote elements of abelian lattice-ordered groups, implication denotes consequent minus antecedent, and formulas assert positivity. A translation relates it to BAL. The authors prove soundness and completeness for this class, not language-task performance; vector-lattice completeness remains open.
Summary by alphaXiv.
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