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Marco Realacci 2025-03-18 16:55:04 +01:00
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6
.obsidian/workspace.json vendored
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@ -36,7 +36,7 @@
"file": "Concurrent Systems/slides/class 6.pdf", "file": "Concurrent Systems/slides/class 6.pdf",
"page": 6, "page": 6,
"left": -23, "left": -23,
"top": 259, "top": 242,
"zoom": 0.6627078384798101 "zoom": 0.6627078384798101
}, },
"icon": "lucide-file-text", "icon": "lucide-file-text",
@ -214,10 +214,10 @@
"companion:Toggle completion": false "companion:Toggle completion": false
} }
}, },
"active": "51157f32453cba69", "active": "88f2e3a5b973712d",
"lastOpenFiles": [ "lastOpenFiles": [
"Concurrent Systems/slides/class 6.pdf",
"Concurrent Systems/notes/6 - Atomicity.md", "Concurrent Systems/notes/6 - Atomicity.md",
"Concurrent Systems/slides/class 6.pdf",
"Concurrent Systems/notes/images/Pasted image 20250318090733.png", "Concurrent Systems/notes/images/Pasted image 20250318090733.png",
"Concurrent Systems/notes/images/Pasted image 20250318090909.png", "Concurrent Systems/notes/images/Pasted image 20250318090909.png",
"Concurrent Systems/slides/class 5.pdf", "Concurrent Systems/slides/class 5.pdf",

2
Concurrent Systems/notes/6 - Atomicity.md
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@ -70,7 +70,7 @@ Let us define a linearization of $\hat{H}$ as follows: $$\hat{S}=inv(op1)res(op1
we would have the topological order: $op1\to'op2\to'...$ we would have the topological order: $op1\to'op2\to'...$
$\hat{S}$ is clearly sequential. Moreover: $\hat{S}$ is clearly sequential. Moreover:
1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$. Indeed: 1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$, indeed:
- $<_{\hat{S}_X}=\to_X \subseteq \to'_X = \to_{\hat{S}|X}=<_{\hat{S}|X}$ - $<_{\hat{S}_X}=\to_X \subseteq \to'_X = \to_{\hat{S}|X}=<_{\hat{S}|X}$
- -
> [!PDF|red] class 6, p.6> we would have a cycle of length > [!PDF|red] class 6, p.6> we would have a cycle of length