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arXiv · 0903.5259

A System of Interaction and Structure IV: The Exponentials and Decomposition

Lutz Strassburger·Alessio Guglielmi
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Abstract

We study a system, called NEL, which is the mixed commutative/non-commutative linear logic BV augmented with linear logic's exponentials. Equivalently, NEL is MELL augmented with the non-commutative self-dual connective seq. In this paper, we show a basic compositionality property of NEL, which we call decomposition. This result leads to a cut-elimination theorem, which is proved in the next paper 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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Lutz Strassburger, Alessio Guglielmi. 2009-03-30. A System of Interaction and Structure IV: The Exponentials and Decomposition. https://doi.org/10.1145/1970398.1970399

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