Displacement logic for anaphora

  • Authors:
  • Glyn Morrill;Oriol Valentín

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2014

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Abstract

The displacement calculus of Morrill, Valentin and Fadda (2011) [25] aspires to replace the calculus of Lambek (1958) [13] as the foundation of categorial grammar by accommodating intercalation as well as concatenation while remaining free of structural rules and enjoying Cut-elimination and its good corollaries. Jager (2005) [11] proposes a type logical treatment of anaphora with syntactic duplication using limited contraction. Morrill and Valentin (2010) [24] apply (modal) displacement calculus to anaphora with lexical duplication and propose extension with a negation as failure in conjunction with additives to capture binding conditions. In this paper we present an account of anaphora developing characteristics and employing machinery from both of these proposals.