diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 7971ffb..3d111b6 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -211,11 +211,14 @@ "companion:Toggle completion": false } }, - "active": "ae2c5ab99ad6ca6a", + "active": "ec8d1a91f1f0cc7e", "lastOpenFiles": [ - "Concurrent Systems/notes/14.md", - "Pasted image 20250429084358.png", + "Pasted image 20250429085319.png", "Concurrent Systems/slides/class 14.pdf", + "Concurrent Systems/notes/14.md", + "Pasted image 20250429084950.png", + "Pasted image 20250429084921.png", + "Pasted image 20250429084358.png", "Pasted image 20250429083535.png", "Pasted image 20250429083455.png", "Pasted image 20250429083129.png", @@ -225,8 +228,6 @@ "Concurrent Systems/slides/class 13.pdf", "Pasted image 20250428175449.png", "Pasted image 20250428085837.png", - "Pasted image 20250428085410.png", - "Pasted image 20250428084340.png", "Concurrent Systems/notes/12 - Calculus of communicating system.md", "Concurrent Systems/slides/class 12.pdf", "Concurrent Systems/notes/12b - CCS cose varie.md", diff --git a/Concurrent Systems/notes/14.md b/Concurrent Systems/notes/14.md index 7588674..b25dcd6 100644 --- a/Concurrent Systems/notes/14.md +++ b/Concurrent Systems/notes/14.md @@ -29,3 +29,8 @@ $P$ is in standard form if and only if $P \triangleq \sum_{i}\alpha_{i}P_{i}$ an **Inductive step:** we have to consider three cases. ![](../../Pasted%20image%2020250429084358.png) +![](../../Pasted%20image%2020250429084921.png) +![](../../Pasted%20image%2020250429084950.png) +replacing one by one every continuation with its standard form, obtaining standard form. + +![](../../Pasted%20image%2020250429085319.png) diff --git a/Pasted image 20250429084921.png b/Pasted image 20250429084921.png new file mode 100644 index 0000000..4edc787 Binary files /dev/null and b/Pasted image 20250429084921.png differ diff --git a/Pasted image 20250429084950.png b/Pasted image 20250429084950.png new file mode 100644 index 0000000..a969e31 Binary files /dev/null and b/Pasted image 20250429084950.png differ diff --git a/Pasted image 20250429085319.png b/Pasted image 20250429085319.png new file mode 100644 index 0000000..3ffcec0 Binary files /dev/null and b/Pasted image 20250429085319.png differ