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We develop a tool for the rigorous formulation and proof of properties of runtime memory management for a sample programming language based on a linear type system. Two semantics are described, one at a level of observable results of computations and one that describes linear connectives in terms of memory-management primitives. The two semantics are proven equivalent and the memory-management model is proven to satisfy fundamental correctness criteria for reference counts.
Jawahar Chirimar, Carl A. Gunter, and Jon G. Riecke, "Proving Memory Management Invariants for a Language Based on Linear Logic", . December 1991.
Date Posted: 05 August 2007