Proof Nets for Intuitionistic Linear Logic : Essential nets

@inproceedings{Lamarche2008ProofNF,
  title={Proof Nets for Intuitionistic Linear Logic : Essential nets},
  author={François Lamarche},
  year={2008}
}
We present a class of proof nets that are specially designed for Intuitionistic Linear Logic, for which we give a correctness criterion, as well as a cut-elimination procedure. The proof of sequentialization uses a special kind of oriented paths. In this paper we present a class of proof objects for intuitionistic linear logic with the connectives ⊗,(,N and !; in particular we can interpret the simply typed lambda calculus, with or without product types. We call these proof nets essential nets… CONTINUE READING
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