Displacement Calculus

نویسندگان

  • Glyn Morrill
  • Oriol Valentín
چکیده

The Lambek calculus L provides a foundation for categorial grammar in the form of a logic of concatenation. But natural language is characterized by dependencies which may also be dis-continuous. In this paper we introduce the displacement calculus D, a generalization of Lambek calculus, which preserves the good proof-theoretic properties of the latter while embracing dis-continuiity and subsuming L. We illustrate linguistic applications and prove Cut-elimination, the subformula property, and decid-ability

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عنوان ژورنال:
  • CoRR

دوره abs/1004.4181  شماره 

صفحات  -

تاریخ انتشار 2010