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Concurrent Systems/notes/14 Checking bisimilarity, an inference system.md

@@ -55,13 +55,14 @@ $P$ is in standard form if and only if $P \triangleq \sum_{i}\alpha_{i}P_{i}$ an
 	Now we replace $P_1$ with $P_{1}'$ and obtain: $$=\alpha_{1}.P_{1}' + \sum_{i \in I\setminus \{ 1 \}}\alpha_{i}P_{i}$$
 	imagine doing this until you pulled everything out... Standard form!
 
-3. 
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 ![](images/Pasted%20image%2020250429085319.png)
 
 ### Axioms & Rules for Weak Bisimilarity
 ![](images/Pasted%20image%2020250429091029.png)
 
+#### Completeness theorem: $P \sim Q  \implies \vdash P=Q$
+
+
 #### Example
 A server for exchanging messages, in its minimal version, receives a request for sending messages and delivers the confirmation of the reception