vault backup: 2025-03-18 16:50:04
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.obsidian/workspace.json
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.obsidian/workspace.json
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@ -36,7 +36,7 @@
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"file": "Concurrent Systems/slides/class 6.pdf",
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"file": "Concurrent Systems/slides/class 6.pdf",
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"page": 6,
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"page": 6,
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"left": -23,
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"left": -23,
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"top": 428,
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"top": 259,
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"zoom": 0.6627078384798101
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"zoom": 0.6627078384798101
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},
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},
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"icon": "lucide-file-text",
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"icon": "lucide-file-text",
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@ -71,6 +71,8 @@ we would have the topological order: $op1\to'op2\to'...$
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$\hat{S}$ is clearly sequential. Moreover:
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$\hat{S}$ is clearly sequential. Moreover:
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1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$. Indeed:
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1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$. Indeed:
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- $<_{\hat{S}_X}=\to_X \subseteq \to'_X = \to_{\hat{S}|X}=<_{\hat{S}|X}$
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-
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> [!PDF|red] class 6, p.6> we would have a cycle of length
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> [!PDF|red] class 6, p.6> we would have a cycle of length
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>
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>
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> we would contraddict op2 ->x op3
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> we would contraddict op2 ->x op3
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