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

vault backup: 2025-04-30 17:58:22

Browse source
This commit is contained in:
Marco Realacci 2025-04-30 17:58:22 +02:00
parent f7094c59c0
commit 82e6f69469
3 changed files with 7 additions and 1 deletions
Download patch file Download diff file Expand all files Collapse all files

2
.obsidian/workspace.json vendored
View file

@ -193,6 +193,7 @@
}, },
"active": "ec8d1a91f1f0cc7e", "active": "ec8d1a91f1f0cc7e",
"lastOpenFiles": [ "lastOpenFiles": [
"Pasted image 20250430175412.png",
"Pasted image 20250430171336.png", "Pasted image 20250430171336.png",
"Concurrent Systems/slides/class 13.pdf", "Concurrent Systems/slides/class 13.pdf",
"Concurrent Systems/notes/13 - Weak Bisimilarity.md", "Concurrent Systems/notes/13 - Weak Bisimilarity.md",
@ -209,7 +210,6 @@
"Concurrent Systems/notes/images/Pasted image 20250429085319.png", "Concurrent Systems/notes/images/Pasted image 20250429085319.png",
"Concurrent Systems/notes/images/Pasted image 20250429084950.png", "Concurrent Systems/notes/images/Pasted image 20250429084950.png",
"Concurrent Systems/notes/images/Pasted image 20250429084921.png", "Concurrent Systems/notes/images/Pasted image 20250429084921.png",
"Concurrent Systems/notes/images/Pasted image 20250429084358.png",
"Concurrent Systems/slides/class 12.pdf", "Concurrent Systems/slides/class 12.pdf",
"Concurrent Systems/notes/11 - LTSs and Bisimulation.md", "Concurrent Systems/notes/11 - LTSs and Bisimulation.md",
"HCIW/slides/HCI in the car.pdf", "HCIW/slides/HCI in the car.pdf",

6
Concurrent Systems/notes/13 - Weak Bisimilarity.md
View file

@ -139,3 +139,9 @@ The specification is:
if $i \in X$ then: if $i \in X$ then:
$$S_{i,X}=\sum_{j \in X}b_{j}.S_{i,X-\{ j \}}$$ $$S_{i,X}=\sum_{j \in X}b_{j}.S_{i,X-\{ j \}}$$
otherwise: $$S_{i,X}=a_{i}.S_{(i \space mod \space n)+1,X\cup \{ i \}} + \sum_{j \in X}b_{j}.S_{i,X-\{ j \}}$$ otherwise: $$S_{i,X}=a_{i}.S_{(i \space mod \space n)+1,X\cup \{ i \}} + \sum_{j \in X}b_{j}.S_{i,X-\{ j \}}$$
Starting config $S_{1,\{ \}}$
LTS for $n=2$:
![](../../Pasted%20image%2020250430175412.png)
We can try to implement the scheduler in the following way:
$$A_{i}=a_{i}.B_{i} \quad B_{i}=\bar{c}_{(i \space mod \space n)+1}.C_{i} \quad C_{i}=b_{i}.D_{i} \quad D_{i}=c_{i}.A_{i}$$

BIN
Pasted image 20250430175412.png Normal file
View file

Binary file not shown.
Side by side

After

Width:  |  Height:  |  Size: 60 KiB