*SEM 2013: The Second Joint Conference on Lexical and Computational Semantics
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چکیده
The development of compositional distribu-tional models of semantics reconciling the em-pirical aspects of distributional semantics withthe compositional aspects of formal seman-tics is a popular topic in the contemporary lit-erature. This paper seeks to bring this rec-onciliation one step further by showing howthe mathematical constructs commonly usedin compositional distributional models, suchas tensors and matrices, can be used to sim-ulate different aspects of predicate logic. This paper discusses how the canonical iso-morphism between tensors and multilinearmaps can be exploited to simulate a full-blownquantifier-free predicate calculus using ten-sors. It provides tensor interpretations of theset of logical connectives required to modelpropositional calculi. It suggests a variantof these tensor calculi capable of modellingquantifiers, using few non-linear operations.It finally discusses the relation between thesevariants, and how this relation should consti-tute the subject of future work.
منابع مشابه
Proceedings of the Third Joint Conference on Lexical and Computational Semantics, *SEM@COLING 2014, August 23-24, 2014, Dublin, Ireland
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