The Cut-Elimination Thereom for Differential Nets with Promotion - Laboratoire Preuves, Programmes et Systèmes
Communication Dans Un Congrès Année : 2009

The Cut-Elimination Thereom for Differential Nets with Promotion

Résumé

Recently Ehrhard and Regnier have introduced Differential Linear Logic, DILL for short -- an extension of the Multiplicative Exponential fragment of Linear Logic that is able to express non-deterministic computations. The authors have examined the cut-elimination of the promotion-free fragment of DILL by means of a proofnet-like calculus: differential interaction nets. We extend this analysis to exponential boxes and prove the Cut-Elimination Theorem for the whole DILL: every differential net that is sequentializable can be reduced to a cut-free net.
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hal-00698974 , version 1 (11-08-2024)

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Michele Pagani. The Cut-Elimination Thereom for Differential Nets with Promotion. 9th International Conference on Typed Lambda Calculi and Applications (TLCA 2009), Jul 2009, Brasilia, Brazil. pp.219-233, ⟨10.1007/978-3-642-02273-9_17⟩. ⟨hal-00698974⟩
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