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15-816 Linear Logic |
After completing the discussion of intuitionistic linear logic, negation, and the why not modality we identify the "missing connectives". A generalization of natural deduction and the sequent calculus to permit multiple conclusion gives rise to classical linear logic. The symmetry of the sequents of classical linear logic give rise to many pleasant laws, but just as in the step from intuitionistic to classical logic, we lose some expressive power.