[multithreading] Recursive Lock (Mutex) vs Non-Recursive Lock (Mutex)

The right mental model for using mutexes: The mutex protects an invariant.

Why are you sure that this is really right mental model for using mutexes? I think right model is protecting data but not invariants.

The problem of protecting invariants presents even in single-threaded applications and has nothing common with multi-threading and mutexes.

Furthermore, if you need to protect invariants, you still may use binary semaphore wich is never recursive.

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Recursive Lock (Mutex) vs Non-Recursive Lock (Mutex)