A System of Interaction and Structure IV: The Exponentials and Decomposition
Logic in Computer Science
2022-07-01 v2
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.
Keywords
Cite
@article{arxiv.0903.5259,
title = {A System of Interaction and Structure IV: The Exponentials and Decomposition},
author = {Lutz Strassburger and Alessio Guglielmi},
journal= {arXiv preprint arXiv:0903.5259},
year = {2022}
}