vault backup: 2025-04-14 17:10:00

.obsidian/workspace.json

@@ -238,10 +238,10 @@
       "companion:Toggle completion": false
     }
   },
-  "active": "84845736e00d5c98",
+  "active": "2882ba3b76891dd0",
   "lastOpenFiles": [
-    "Concurrent Systems/slides/class 12.pdf",
     "Concurrent Systems/notes/12 - CCS (che non so cosa voglia dire).md",
+    "Concurrent Systems/slides/class 12.pdf",
     "Pasted image 20250414164549.png",
     "Concurrent Systems/notes/images/Pasted image 20250414082824.png",
     "Concurrent Systems/notes/11 - LTSs and Bisimulation.md",

Concurrent Systems/notes/12 - CCS (che non so cosa voglia dire).md

@@ -130,18 +130,13 @@ $$A' \mid B \xrightarrow{\tau} A \mid B'$$
 
 ##### ▶️ Step 3: Transition from B'
 From the definition:
-- $BB' \triangleq \bar{c}.B$
+- $B' \triangleq \bar{c}.B$
-	- So: B′→cˉBB' \xrightarrow{\bar{c}} B
+	- So: $B' \xrightarrow{\bar{c}} B$
 
 Now use the **right parallel rule**:
-
+$$\frac{B' \xrightarrow{\bar{c}} B}{A \mid B' \xrightarrow{\bar{c}} A \mid B}$$
-B′→cˉBA∣B′→cˉA∣B\frac{B' \xrightarrow{\bar{c}} B}{A \mid B' \xrightarrow{\bar{c}} A \mid B}
-
 ✅ **Third transition:**
-
+$$A \mid B' \xrightarrow{\bar{c}} A \mid B$$
-A∣B′→cˉA∣BA \mid B' \xrightarrow{\bar{c}} A \mid B
-
----
 
 ## 🔄 Full Transition Path