2009 | OriginalPaper | Buchkapitel
The Cut-Elimination Theorem for Differential Nets with Promotion
verfasst von : Michele Pagani
Erschienen in: Typed Lambda Calculi and Applications
Verlag: Springer Berlin Heidelberg
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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.