Towards a Classical Linear λ-calculus (Preliminary Report)

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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. © 1996 Elsevier B.V. All rights reserved.

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Bierman, G. M. (1996). Towards a Classical Linear λ-calculus (Preliminary Report). Electronic Notes in Theoretical Computer Science, 3(C), 15–27. https://doi.org/10.1016/S1571-0661(05)80399-8

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