vault backup: 2025-04-14 17:05:00

.obsidian/workspace.json

@@ -238,10 +238,10 @@
       "companion:Toggle completion": false
     }
   },
-  "active": "2882ba3b76891dd0",
+  "active": "84845736e00d5c98",
   "lastOpenFiles": [
-    "Concurrent Systems/notes/12 - CCS (che non so cosa voglia dire).md",
     "Concurrent Systems/slides/class 12.pdf",
+    "Concurrent Systems/notes/12 - CCS (che non so cosa voglia dire).md",
     "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

@@ -123,23 +123,15 @@ From this, we can do:
 
 These actions **complement each other**, so we can apply the **synchronization rule**:
 
-A′→bˉAB→bB′A′∣B→τA∣B′\frac{A' \xrightarrow{\bar{b}} A \quad B \xrightarrow{b} B'}{A' \mid B \xrightarrow{\tau} A \mid B'}
+$$\frac{A' \xrightarrow{\bar{b}} A \quad B \xrightarrow{b} B'}{A' \mid B \xrightarrow{\tau} A \mid B'}$$
 
 ✅ **Second transition:**
+$$A' \mid B \xrightarrow{\tau} A \mid B'$$
 
-A′∣B→τA∣B′A' \mid B \xrightarrow{\tau} A \mid B'
+##### ▶️ Step 3: Transition from B'
-
----
-
-## ▶️ Step 3: Transition from B'
-
 From the definition:
-
+- $BB' \triangleq \bar{c}.B$
-- B′≜cˉ.BB' \triangleq \bar{c}.B  
+	- So: B′→cˉBB' \xrightarrow{\bar{c}} B
-    So:
-    
-
-B′→cˉBB' \xrightarrow{\bar{c}} B
 
 Now use the **right parallel rule**: