A system of interaction and structure IV: The exponentials and decomposition

Reference:

Straburger, L. and Guglielmi, A., 2011. A system of interaction and structure IV: The exponentials and decomposition. ACM Transactions on Computational Logic, 12 (4), 23.

Related documents:

Official URL:

http://dx.doi.org/10.1145/1970398.1970399

Related URLs:

• http://arxiv.org/pdf/0903.5259

Abstract

We study a system, called NEL, which is themixed commutative/noncommutative linear logic BV augmented with linear logic's exponentials. Equivalently, NEL is MELL augmented with the noncommutative self-dual connective seq. In this article,we show a basic compositionality property ofNEL,which we call decomposition. This result leads to a cut-elimination theorem, which is proved in the next article of this series. To control the induction measure for the theorem, we rely on a novel technique that extracts from NEL proofs the structure of exponentials, into what we call !-?-Flow-Graphs.

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