vault backup: 2025-04-14 18:15:00

.obsidian/workspace.json

@@ -68,8 +68,7 @@
               "title": "class 11"
             }
           }
-        ],
+        ]
-        "currentTab": 1
       }
     ],
     "direction": "vertical"
@@ -239,8 +238,9 @@
       "companion:Toggle completion": false
     }
   },
-  "active": "364a7591f14f033a",
+  "active": "84845736e00d5c98",
   "lastOpenFiles": [
+    "Pasted image 20250414181443.png",
     "Concurrent Systems/slides/class 12.pdf",
     "Concurrent Systems/notes/12 - CCS (che non so cosa voglia dire).md",
     "Concurrent Systems/slides/class 11.pdf",

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

@@ -177,4 +177,11 @@ $$\frac{a.A' \xrightarrow{a} A' \quad A \triangleq a.A'}{A \xrightarrow{a} A'}
 since $b$ is in $\{b, \bar{b}\}$, we will NOT see the transitions:
 $$\frac{\frac{\frac{b.B' \xrightarrow{b} B' \quad B \triangleq b.B'}{B \xrightarrow{b} B'}}
 {{A \mid B \xrightarrow{b} A \mid B'}}b \in \{b, \bar{b}\}}{{(A \mid B) \setminus b}}$$
-This time I won't split it in separate pieces since I don't feel like doing it, just buy glasses.
+This time I won't split it in separate pieces since I don't feel like doing it, just buy glasses.
+
+###### So... What if we restrict on b?
+- The effect of the restriction on b is that we have deleted the transitions involving b (hide all transitions labelled with $b$ and $\bar{b}$).
+- Notice that the τ, even if it has been generated by synchronizing on b, it is still present after applying the restriction on b!
+	- the purpose of the τ is exactly to signal that a synchronization has happened but to hide the event on which the involved processed synchronized.
+
+- In general, it is possible that whole states disappear upon restriction of some names: this would be the case, e.g., if we consider the LTS arising from $(A’ | B)\setminus a,b$:![](../../Pasted%20image%2020250414181443.png)