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Marco Realacci 2025-04-28 18:01:27 +02:00
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3
.obsidian/workspace.json vendored
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@ -213,9 +213,9 @@
}, },
"active": "56150e6df7869900", "active": "56150e6df7869900",
"lastOpenFiles": [ "lastOpenFiles": [
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"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",
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@ -232,7 +232,6 @@
"Concurrent Systems/notes/images/Pasted image 20250414181443.png", "Concurrent Systems/notes/images/Pasted image 20250414181443.png",
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"HCIW/notes/3 - Beacons.md", "HCIW/notes/3 - Beacons.md",
"HCIW/slides/Zooming interfaces.pdf", "HCIW/slides/Zooming interfaces.pdf",
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6
Concurrent Systems/notes/13 - Weak Bisimilarity.md
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@ -103,3 +103,9 @@ The specification is: $$L \triangleq \tau.\bar{p_{1}}L+\tau.\bar{p_{2}}.L+\dots+
where $\tau$'s represent ball extractions and $\tilde{p_{i}}$ is the action that communicates with the value of the extracted ball. The LTS resulting from this specification is: where $\tau$'s represent ball extractions and $\tilde{p_{i}}$ is the action that communicates with the value of the extracted ball. The LTS resulting from this specification is:
![](../../Pasted%20image%2020250428175449.png) ![](../../Pasted%20image%2020250428175449.png)
We now build a system with n components, one for every ball.
Every component can be in three states:
- A (waiting for being habilitated to extraction)
- B (habilitated, with the possibility of being extracted or of habilitating the next component)
- C (extracted, waiting to externally communicate its value and start the process again): $$A_{i}=a_{i}.B_{i} \quad B_{i}=\tau.C_{i}+\bar{a}_{(i \space mod \space n)+1}.A_{i} \quad C_{i}=\bar{p}_{i}.B_{i}$$