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Generalized Discontinuity

  • Glyn Morrill
  • Oriol Valentín
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7395)

Abstract

We define and study a calculus of discontinuity, a version of displacement calculus, which is a logic of segmented strings in exactly the same sense that the Lambek calculus is a logic of strings. Like the Lambek calculus, the displacement calculus is a sequence logic free of structural rules, and enjoys Cut-elimination and its corollaries: the subformula property, decidability, and the finite reading property. The foci of this paper are a formulation with a finite number of connectives, and consideration of how to extend the calculus with defined connectives while preserving its good properties.

Keywords

Sequent Calculus Categorial Grammar Logical Syntax Logical Grammar Phrase Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Glyn Morrill
    • 1
  • Oriol Valentín
    • 2
  1. 1.Departament de Llenguatges i Sistemes InformàticsUniversitat Politècnica de CatalunyaSpain
  2. 2.Barcelona Media, Centre d’InnovacióUniversitat Pompeu FabraSpain

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