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

@@ -153,3 +153,20 @@ The usefulness of the parallel is two-fold:
 - it is the fundamental operator in concurrency theory
 - it allows for a compact and intuitive writing of processes.
 
+
+### Restriction
+What if we restrict on b?
+
+![](../../Pasted%20image%2020250414173011.png)
+
+$$\frac{a.A' \xrightarrow{a} A' \quad A \triangleq a.A'}{A \xrightarrow{a} A'}
+\quad
+\frac{A \xrightarrow{a} A'}{A \mid B \xrightarrow{a} A' \mid B}
+\quad
+\frac{A \mid B \xrightarrow{a} A' \mid B \quad a \notin \{b, \bar{b}\}}{(A \mid B) \setminus b \xrightarrow{a} (A' \mid B) \setminus b}$$
+$$
+
+
+
+
+$$