diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 835ea2f..8d0d4b5 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -6,31 +6,39 @@
       {
         "id": "e20232f4bbe0efa1",
         "type": "tabs",
+        "dimension": 41.54727793696275,
         "children": [
           {
-            "id": "aa7ed62f1bcd712a",
+            "id": "483215723737b6f7",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "Concurrent Systems/notes/3a - Hardware primitives & Lamport Bakery algorithm.md",
+                "file": "Concurrent Systems/notes/10 - Consensus Implementation.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "3a - Hardware primitives & Lamport Bakery algorithm"
+              "title": "10 - Consensus Implementation"
             }
-          },
+          }
+        ]
+      },
+      {
+        "id": "e34c84c51f78c14c",
+        "type": "tabs",
+        "dimension": 58.45272206303726,
+        "children": [
           {
-            "id": "f158d16483dc1627",
+            "id": "cff9c2a2f72efce8",
             "type": "leaf",
             "state": {
               "type": "pdf",
               "state": {
-                "file": "Concurrent Systems/slides/class 9.pdf"
+                "file": "Concurrent Systems/slides/class 10.pdf"
               },
               "icon": "lucide-file-text",
-              "title": "class 9"
+              "title": "class 10"
             }
           }
         ]
@@ -90,7 +98,8 @@
       }
     ],
     "direction": "horizontal",
-    "width": 309.5
+    "width": 309.5,
+    "collapsed": true
   },
   "right": {
     "id": "bc4b945ded1926e3",
@@ -202,10 +211,12 @@
       "companion:Toggle completion": false
     }
   },
-  "active": "aa7ed62f1bcd712a",
+  "active": "483215723737b6f7",
   "lastOpenFiles": [
-    "Concurrent Systems/notes/3b - Aravind's algorithm and improvements.md",
+    "Concurrent Systems/slides/class 10.pdf",
+    "Concurrent Systems/notes/10 - Consensus Implementation.md",
     "Concurrent Systems/notes/3a - Hardware primitives & Lamport Bakery algorithm.md",
+    "Concurrent Systems/notes/3b - Aravind's algorithm and improvements.md",
     "Concurrent Systems/notes/2b - Round Robin algorithm.md",
     "Concurrent Systems/notes/4c - Dining Philosophers.md",
     "Concurrent Systems/notes/7- MUTEX-free concurrency.md",
@@ -239,7 +250,6 @@
     "Concurrent Systems/notes/images/Pasted image 20250318090733.png",
     "Pasted image 20250318090909.png",
     "Pasted image 20250318090733.png",
-    "HCIW/slides/4 HUI2016-6-forcefeedback.pdf",
     "HCIW/notes/2 - Interface and Interaction for IoT.md",
     "HCIW/notes/3 - Beacons.md",
     "Concurrent Systems/notes/1 - CS Basics2.md",
@@ -248,7 +258,6 @@
     "Foundation of data science/notes/1 CV Basics.md",
     "Foundation of data science/notes/7 Autoencoders.md",
     "Foundation of data science/notes/6 PCA.md",
-    "Foundation of data science/notes/5 Neural Networks.md",
     "Senza nome.canvas"
   ]
 }
\ No newline at end of file
diff --git a/Concurrent Systems/notes/10 - Consensus Implementation.md b/Concurrent Systems/notes/10 - Consensus Implementation.md
new file mode 100644
index 0000000..b8fd0c7
--- /dev/null
+++ b/Concurrent Systems/notes/10 - Consensus Implementation.md	
@@ -0,0 +1,8 @@
+Which objects allow for a wait free implementation of (binary) consensus? The answer depends on the number of participants
+
+The **consensus number** of an object of type T is the greatest number n such that it is possible to wait free implement a consensus object in a system of n processes by only using objects of type T and atomic R/W registers.
+
+For all T, CN(T) > 0; if there is no sup, we let CN(T) := +∞
+
+**Thm:** let CN(T1) < CN(T2), then there exists no wait free implementation of T2 that only uses objects of type T1 and atomic R/W registers for all n s.t. CN(T1) < n <= CN(T2).
+
diff --git a/Concurrent Systems/slides/class 10.pdf b/Concurrent Systems/slides/class 10.pdf
new file mode 100644
index 0000000..9f54d93
Binary files /dev/null and b/Concurrent Systems/slides/class 10.pdf differ