From 8987a3333a215288e305a3c1099d9a1482c9d3b5 Mon Sep 17 00:00:00 2001 From: Marco Realacci Date: Wed, 30 Apr 2025 17:18:22 +0200 Subject: [PATCH] vault backup: 2025-04-30 17:18:22 --- .obsidian/workspace.json | 1 + .../notes/13 - Weak Bisimilarity.md | 6 ++++-- Pasted image 20250430171336.png | Bin 0 -> 93408 bytes 3 files changed, 5 insertions(+), 2 deletions(-) create mode 100644 Pasted image 20250430171336.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 8d8779b..2ecb80d 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -193,6 +193,7 @@ }, "active": "ec8d1a91f1f0cc7e", "lastOpenFiles": [ + "Pasted image 20250430171336.png", "Concurrent Systems/slides/class 13.pdf", "Concurrent Systems/notes/13 - Weak Bisimilarity.md", "Concurrent Systems/notes/14.md", diff --git a/Concurrent Systems/notes/13 - Weak Bisimilarity.md b/Concurrent Systems/notes/13 - Weak Bisimilarity.md index 7927510..601dd1d 100644 --- a/Concurrent Systems/notes/13 - Weak Bisimilarity.md +++ b/Concurrent Systems/notes/13 - Weak Bisimilarity.md @@ -111,7 +111,9 @@ Every component can be in three states: - C (extracted, waiting to externally communicate its value and start the process again): $$A_{i}=a_{i}.B_{i} \quad B_{i}=\tau.C_{i}+\bar{a}_{(i \space mod \space n)+1}.A_{i} \quad C_{i}=\bar{p}_{i}.B_{i}$$ In pratica ogni volta o estrae di nuovo "se stesso" oppure "abilita" il componente successivo. -Implementation: $$Impl \triangleq (B_{1}|A_{2}|\dots|An)$$ +Implementation: $$Impl \triangleq (B_{1}|A_{2}|\dots|An)\setminus_{\{ a_{1}\dots an \}}$$ basically we need to have an initially habilitated process, which can be any (the first one in our case). -This will generate the LTS: \ No newline at end of file +This will generate the LTS: +![500](../../Pasted%20image%2020250430171336.png) + diff --git a/Pasted image 20250430171336.png b/Pasted image 20250430171336.png new file mode 100644 index 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