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Reference Counting as a Computational Interpretation of Linear Logic |
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AbstractWe develop formal methods for reasoning about memory usage at a level of abstraction suitable for establishing or refuting claims about the potential applications of linear logic for static analysis. In particular, we demonstrate a precise relationship between type correctness for a language based on linear logic and the correctness of a reference-counting interpretation of the primitives that the language draws from the rules for the `of course' operation. Our semantics is `low-level' enough...
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