期刊
THEORETICAL COMPUTER SCIENCE
卷 350, 期 2-3, 页码 252-274出版社
ELSEVIER
DOI: 10.1016/j.tcs.2005.10.028
关键词
geometry of interaction; traced monoidal categories; linear logic; partially additive categories; unique decomposition categories
We consider the multiplicative and exponential fragment of linear logic (MELL) and give a geometry of interaction (GoI) semantics for it based on unique decomposition categories. We prove a soundness and finiteness theorem for this interpretation. We show that Girard's original approach to GoI 1 via operator algebras is exactly captured in this categorical framework. (c) 2005 Elsevier B.V. All rights reserved.
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