Extending the Explicit Substitution Paradigm

  • Delia Kesner
  • Stéphane Lengrand
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3467)


We present a simple term language with explicit operators for erasure, duplication and substitution enjoying a sound and complete correspondence with the intuitionistic fragment of Linear Logic’s Proof Nets. We establish the good operational behaviour of the language by means of some fundamental properties such as confluence, preservation of strong normalisation, strong normalisation of well-typed terms and step by step simulation. This formalism is the first term calculus with explicit substitutions having full composition and preserving strong normalisation.


Intuitionistic Logic Garbage Collection Linear Logic Reduction Rule Weaken Operator 
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 2005

Authors and Affiliations

  • Delia Kesner
    • 1
  • Stéphane Lengrand
    • 1
    • 2
  1. 1.PPSUniversité Paris 7France
  2. 2.School of Computer ScienceUniversity of St AndrewsUK

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