diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 9bbcfe6..294334c 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -20,6 +20,18 @@
               "icon": "lucide-file",
               "title": "5 - Software Transactional Memory"
             }
+          },
+          {
+            "id": "6e3afe627f01d355",
+            "type": "leaf",
+            "state": {
+              "type": "pdf",
+              "state": {
+                "file": "Concurrent Systems/slides/class 5.pdf"
+              },
+              "icon": "lucide-file-text",
+              "title": "class 5"
+            }
           }
         ]
       }
@@ -192,6 +204,8 @@
   },
   "active": "383fb8ddbc7a9dc8",
   "lastOpenFiles": [
+    "Concurrent Systems/slides/class 5.pdf",
+    "Concurrent Systems/notes/5 - Software Transactional Memory.md",
     "Concurrent Systems/notes/4c - Dining Philosophers.md",
     "Concurrent Systems/slides/class 6.pdf",
     "Concurrent Systems/notes/6 - Atomicity.md",
@@ -206,7 +220,6 @@
     "Concurrent Systems/notes/3a - Hardware primitives & Lamport Bakery algorithm.md",
     "Pasted image 20250325090735.png",
     "Concurrent Systems/notes/images/Pasted image 20250324091452.png",
-    "Concurrent Systems/notes/5 - Software Transactional Memory.md",
     "Concurrent Systems/notes/images/Pasted image 20250324082534.png",
     "Concurrent Systems/notes/images/Pasted image 20250324082545.png",
     "Concurrent Systems/notes/images/Pasted image 20250324092633.png",
@@ -224,7 +237,6 @@
     "Concurrent Systems/notes/images/Pasted image 20250318090733.png",
     "Pasted image 20250318090909.png",
     "Pasted image 20250318090733.png",
-    "Concurrent Systems/slides/class 5.pdf",
     "HCIW/slides/4 HUI2016-6-forcefeedback.pdf",
     "HCIW/slides/3b Haptic slides.pdf",
     "HCIW/notes/2 - Interface and Interaction for IoT.md",
diff --git a/Concurrent Systems/notes/5 - Software Transactional Memory.md b/Concurrent Systems/notes/5 - Software Transactional Memory.md
index db87730..4cabc7f 100644
--- a/Concurrent Systems/notes/5 - Software Transactional Memory.md	
+++ b/Concurrent Systems/notes/5 - Software Transactional Memory.md	
@@ -84,11 +84,11 @@ try_to_commit_T() :=
 		if XX.date >= birthdate(T) then
 			release all locks
 			ABORT
-		tmp <- CLOCK.fetch&add(1)+1
-		∀ X ∈ write_set(T)
-			XX <- ⟨lc(XX).val, tmp⟩
-		release all locks
-		COMMIT
+	tmp <- CLOCK.fetch&add(1)+1
+	∀ X ∈ write_set(T)
+		XX <- ⟨lc(XX).val, tmp⟩
+	release all locks
+	COMMIT
 ```
 
 ### Virtual World Consistency