A By-Level Analysis of Multiplicative Exponential Linear Logic

نویسندگان

  • Marco Gaboardi
  • Luca Roversi
  • Luca Vercelli
چکیده

We study the relations betweenMultiplicative Exponential Linear Logic (meLL) and Baillot-Mazza Linear Logic by Levels (mL). We design a decoration-based translation between propositional meLL and propositional mL. The translation preserves the cut elimination. Moreover, we show that there is a proof netΠ of second ordermeLL that cannot have a representative Π in second order mL under any decoration. This suggests that levels can be an analytical tool in understanding the complexity of second order quantifier.

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تاریخ انتشار 2009