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


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.

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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.


Item Type Articles
CreatorsStraburger, L.and Guglielmi, A.
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URLURL Type Full-text
DepartmentsFaculty of Science > Computer Science
ID Code25862


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