vault backup: 2025-03-18 15:24:57

.obsidian/workspace.json

@@ -6,7 +6,7 @@
       {
         "id": "4c1f5b7a6abb1339",
         "type": "tabs",
-        "dimension": 44.412607449856736,
+        "dimension": 44.41260744985673,
         "children": [
           {
             "id": "51157f32453cba69",
@@ -27,7 +27,7 @@
       {
         "id": "e12a3c14771a10e5",
         "type": "tabs",
-        "dimension": 55.587392550143264,
+        "dimension": 55.58739255014327,
         "children": [
           {
             "id": "f04931d588bd12d2",
@@ -35,11 +35,7 @@
             "state": {
               "type": "pdf",
               "state": {
-                "file": "Concurrent Systems/slides/class 6.pdf",
+                "file": "Concurrent Systems/slides/class 6.pdf"
-                "page": 6,
-                "left": -23,
-                "top": 546,
-                "zoom": 0.6448931116389549
               },
               "icon": "lucide-file-text",
               "title": "class 6"
@@ -103,8 +99,7 @@
       }
     ],
     "direction": "horizontal",
-    "width": 307.5,
+    "width": 307.5
-    "collapsed": true
   },
   "right": {
     "id": "bc4b945ded1926e3",
@@ -178,8 +173,8 @@
             "state": {
               "type": "git-view",
               "state": {},
-              "icon": "git-pull-request",
+              "icon": "lucide-file",
-              "title": "Source Control"
+              "title": "Plugin no longer active"
             }
           },
           {
@@ -209,14 +204,7 @@
       "canvas:Create new canvas": false,
       "daily-notes:Open today's daily note": false,
       "templates:Insert template": false,
-      "command-palette:Open command palette": false,
+      "command-palette:Open command palette": false
-      "obsidian-ocr:Search OCR": false,
-      "pdf-plus:PDF++: Toggle auto-copy": false,
-      "pdf-plus:PDF++: Toggle auto-focus": false,
-      "pdf-plus:PDF++: Toggle auto-paste": false,
-      "obsidian-git:Open Git source control": false,
-      "smart-second-brain:Open S2B Chat": false,
-      "companion:Toggle completion": false
     }
   },
   "active": "51157f32453cba69",

Concurrent Systems/notes/6 - Atomicity.md

@@ -14,7 +14,7 @@ A history is **complete** if every inv is eventually followed by a corresponding
 ### Linearizability
 A complete history $\hat{H}$ is **linearizable** if there exists a sequential history $\hat{S}$ s.t.
 - $\forall X :\hat{S}|_{X} \in semantics(X)$
-- $\forall p:\hat{H}|_{p} = \hat{S}|p$
+- $\forall p:\hat{H}|_{p} = \hat{S}|_p$
 	- cannot swap actions performed by the same process
 - If $res[op] <_{H} inv[op']$, then $res[op] <_{S} inv[op']$
 	- can rearrange events only if they overlap
@@ -24,6 +24,7 @@ Given an history $\hat{K}$, we can define a binary relation on events $⟶_{K}$
 ![[Pasted image 20250318090733.png]]
 
 ![[Pasted image 20250318090909.png]]But there is another linearization possible! I can also push a before if I pull it before c!
+Of course I have to respect the semantics of a Queue (if I push "a" first, I have to pop "a" first because it's a fucking FIFO)
 
 #### Compositionality theorem
 $\hat{H}$ is linearizable if $\hat{H}|_{X}$ is linearizable, for all X in H
@@ -34,7 +35,10 @@ For all X, let $\hat{S}_{X}$ be a linearization of $\hat{H}_{X}$
 
 Let $\to$ denote $\to_{H} \cup \bigcup_{X \in H} \to _{X}$
 
-...
+We now show that $->$ is acyclic.
+
+
+
 > [!PDF|red] class 6, p.6>  we would have a cycle of length 
 > 
 > we would contraddict op2 ->x op3