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To What Degree Is It Possible to Do Memory Management at Compile Time?

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To What Degree Is It Possible to Do Memory Management at Compile Time?

#1
Memory management is usually offloaded to runtime (tracing GC / Reference Counting) except those variables which can be stack allocated by escape analysis.

While rust claims to eliminate it, it still needs a lots of care around lifetimes, scope etc... It however brings some good concepts to the table.

apart from rust, I have found some papers on mercury logic programming language, cyclone etc..

Can I get references / links to previous work on compile time memory management (partial or full)?