vault backup: 2025-03-25 15:12:04
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2 changed files with 4 additions and 5 deletions
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.obsidian/workspace.json
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.obsidian/workspace.json
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@ -211,14 +211,14 @@
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"companion:Toggle completion": false
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"companion:Toggle completion": false
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}
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}
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},
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},
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"active": "879210c00db77468",
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"active": "0d64f519fd7f9420",
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"lastOpenFiles": [
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"lastOpenFiles": [
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"Concurrent Systems/slides/class 8.pdf",
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"Concurrent Systems/notes/8 - Enhancing Liveness Properties.md",
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"Concurrent Systems/notes/8 - Enhancing Liveness Properties.md",
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"Concurrent Systems/slides/class 7.pdf",
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"Concurrent Systems/slides/class 7.pdf",
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"Concurrent Systems/notes/6a - Alternatives to Atomicity.md",
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"Concurrent Systems/notes/6a - Alternatives to Atomicity.md",
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"Concurrent Systems/notes/7- MUTEX-free concurrency.md",
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"Concurrent Systems/notes/7- MUTEX-free concurrency.md",
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"Concurrent Systems/notes/3a - Hardware primitives & Lamport Bakery algorithm.md",
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"Concurrent Systems/notes/3a - Hardware primitives & Lamport Bakery algorithm.md",
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"Concurrent Systems/slides/class 8.pdf",
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"Pasted image 20250325090735.png",
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"Pasted image 20250325090735.png",
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"Concurrent Systems/notes/images/Pasted image 20250324091452.png",
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"Concurrent Systems/notes/images/Pasted image 20250324091452.png",
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"Concurrent Systems/notes/6 - Atomicity.md",
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"Concurrent Systems/notes/6 - Atomicity.md",
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@ -16,8 +16,7 @@ Can we take the most basic protocol that satisfies the most basic liveness prope
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REMARK: the moment in which all variables contain the same leader is unknown
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REMARK: the moment in which all variables contain the same leader is unknown
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#### From obstruction-freedom to non-blocking
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### From obstruction-freedom to non-blocking
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```
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```
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NEED_HELP[1..n] : SWMR atomic R/W boolean registers init at false
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NEED_HELP[1..n] : SWMR atomic R/W boolean registers init at false
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@ -72,7 +71,7 @@ Guessing the time duration for suspecting a process:
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- The interval to use in the timers is the minimum Sk
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- The interval to use in the timers is the minimum Sk
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- it can be proved that this eventually becomes ≥ $\nabla$
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- it can be proved that this eventually becomes ≥ $\nabla$
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#### From obstruction-freedom to wait-freedom
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### From obstruction-freedom to wait-freedom
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**Eventually perfect:** failure detector ♢P provides each process $p_i$ a local variable $suspected_i$ such that
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**Eventually perfect:** failure detector ♢P provides each process $p_i$ a local variable $suspected_i$ such that
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1. *(Eventual completeness)* eventually, $suspended_{i}$ contains all the indexes of crashed processes, for all correct $p_i$
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1. *(Eventual completeness)* eventually, $suspended_{i}$ contains all the indexes of crashed processes, for all correct $p_i$
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2. (*Eventual accuracy*) eventually, $suspected_{i}$ contains only indexes of crashed processes, for all correct $p_{i}$.
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2. (*Eventual accuracy*) eventually, $suspected_{i}$ contains only indexes of crashed processes, for all correct $p_{i}$.
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