marcorealacci/master-degree-notes
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

vault backup: 2025-04-29 08:43:47

Browse source
This commit is contained in:
Marco Realacci 2025-04-29 08:43:47 +02:00
parent be940e404a
commit b698d9868f
1 changed files with 7 additions and 0 deletions
Download patch file Download diff file Expand all files Collapse all files

7
Concurrent Systems/notes/14.md
View file

@ -22,3 +22,10 @@ basically we can let the left or the right process evolve, leaving the other unc
![](../../Pasted%20image%2020250429083535.png) ![](../../Pasted%20image%2020250429083535.png)
$P$ is in standard form if and only if $P \triangleq \sum_{i}\alpha_{i}P_{i}$ and $\forall_{i}P_{i}$ is in standard form. $P$ is in standard form if and only if $P \triangleq \sum_{i}\alpha_{i}P_{i}$ and $\forall_{i}P_{i}$ is in standard form.
**Lemma:** $\forall P \exists P'$* in standard form such that $\vdash P = P'$
*Proof:* by induction on the structure of P.
**Base case:** $P \triangleq 0$. It suffices to consider $P' \triangleq 0$ and conclude reflexivity.
**Inductive step:** we have to consider three cases.
2. P $$