Abstract
This paper considers a typed λ-calculus for classical linear logic. I shall give an explanation of a multiple-conclusion formulation for classical logic due to Parigot and compare it to more traditional treatments by Prawitz and others. I shall use Parigot's method to devise a natural deduction formulation of classical linear logic. I shall also demonstrate a somewhat hidden connexion with the continuation-passing paradigm which gives a new computational interpretation of Parigot's techniques and possibly a new style of continuation programming.
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