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

vault backup: 2025-04-28 09:17:04

Browse source
This commit is contained in:
Marco Realacci 2025-04-28 09:17:04 +02:00
parent f55cbaef09
commit 7fa6feb7f0
2 changed files with 11 additions and 2 deletions
Download patch file Download diff file Expand all files Collapse all files

4
.obsidian/workspace.json vendored
View file

@ -211,11 +211,11 @@
"companion:Toggle completion": false "companion:Toggle completion": false
} }
}, },
"active": "6c4a39240e6da514", "active": "56150e6df7869900",
"lastOpenFiles": [ "lastOpenFiles": [
"Concurrent Systems/slides/class 13.pdf",
"Concurrent Systems/notes/13 - Weak Bisimilarity.md", "Concurrent Systems/notes/13 - Weak Bisimilarity.md",
"Pasted image 20250428085837.png", "Pasted image 20250428085837.png",
"Concurrent Systems/slides/class 13.pdf",
"Pasted image 20250428085410.png", "Pasted image 20250428085410.png",
"Pasted image 20250428084340.png", "Pasted image 20250428084340.png",
"Pasted image 20250428083727.png", "Pasted image 20250428083727.png",

9
Concurrent Systems/notes/13 - Weak Bisimilarity.md
View file

@ -85,3 +85,12 @@ Let N denote {rg,rs,lg,ls} and x,y ∊ {E,M,D}
We can prove that the following relation is a weak bisimulation: We can prove that the following relation is a weak bisimulation:
![](../../Pasted%20image%2020250428085837.png) ![](../../Pasted%20image%2020250428085837.png)
This is a family of relations:
- 3 pairs of the second form (one for every x)
- 9 pairs of the fifth form (one for every x and y)
- 3 pairs of the sixth form
- 3 pairs of the seventh form
Furthermore, we should also consider commutativity of parallel in pairs of the second, third, fourth, sixth, seventh and eighth form.
Thus, R is actually made up of 1+6+2+2+9+6+6+2=34 pairs.