vault backup: 2025-04-30 17:13:22

.obsidian/workspace.json

@@ -20,18 +20,6 @@
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               "title": "13 - Weak Bisimilarity"
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@@ -90,7 +78,8 @@
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@@ -204,10 +193,10 @@
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+    "Concurrent Systems/notes/13 - Weak Bisimilarity.md",
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Concurrent Systems/notes/13 - Weak Bisimilarity.md

@@ -110,3 +110,8 @@ Every component can be in three states:
 - B (habilitated, with the possibility of being extracted or of habilitating the next component)
 - 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: $$Impl \triangleq (B_{1}|A_{2}|\dots|An)$$
+basically we need to have an initially habilitated process, which can be any (the first one in our case).
+
+This will generate the LTS: