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math.LODec 1, 2010
13
citations (OpenAlex)
authors
  • Danko Ilik
institutions
  • Centre National de la Recherche Scientifique
  • École Polytechnique
  • Institut national de recherche en sciences et technologies du numérique
  • Université Paris Diderot
arXiv abstractPDF
paper

Delimited control operators prove Double-negation Shift

arXiv:1012.0929 · doi:10.1016/j.apal.2011.12.008

Abstract

We propose an extension of minimal intuitionistic predicate logic, based on delimited control operators, that can derive the predicate-logic version of the Double-negation Shift schema, while preserving the disjunction and existence properties.

References in corpus (2)

  • Realizability algebras II : new models of ZF + DC
  • Continuation-passing Style Models Complete for Intuitionistic Logic

Cited by in corpus (7)

  • Continuation-passing Style Models Complete for Intuitionistic Logic
  • The Principle of Open Induction on Cantor space and the Approximate-Fan Theorem
  • Type Directed Partial Evaluation for Level-1 Shift and Reset
  • An interpretation of the Sigma-2 fragment of classical Analysis in System T
  • An Intuitionistic Formula Hierarchy Based on High-School Identities
  • A Direct Version of Veldman's Proof of Open Induction on Cantor Space via Delimited Control Operators
  • Perspectives for proof unwinding by programming languages techniques
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