A Term Assignment for Polarized Bi-intuitionistic Logic and its Strong Normalization

  title={A Term Assignment for Polarized Bi-intuitionistic Logic and its Strong Normalization},
  author={Corrado Biasi and Federico Aschieri},
  journal={Fundam. Inform.},
We propose a term assignment ( let calculus) for Intuitionistic Logic for Pragmatics ILPAC, a polarized sequent calculus which includes ordinary posi tive intuitionistic logicLJ, its dualLJ and dual negations ( ) which allow a formula to “communicate” with its dual fragment. We prove the strong normalization property for th e term assignment which follows by soundly translating the let calculus into simply typedλ calculus with pairings and projections. A new and simple proof of strong… CONTINUE READING

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