diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index b4e3dae..8169318 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -213,9 +213,9 @@
   },
   "active": "cdcc59f1bf6d4ae1",
   "lastOpenFiles": [
-    "Pasted image 20250505085454.png",
     "Concurrent Systems/slides/class 15.pdf",
     "Concurrent Systems/notes/15 - A formal language for LTSs.md",
+    "Pasted image 20250505085454.png",
     "Pasted image 20250505084741.png",
     "Pasted image 20250505084556.png",
     "Pasted image 20250505083948.png",
@@ -236,7 +236,6 @@
     "Concurrent Systems/slides/class 13.pdf",
     "Concurrent Systems/notes/images/Pasted image 20250415082906.png",
     "Concurrent Systems/slides/class 14.pdf",
-    "Concurrent Systems/notes/images/Pasted image 20250429092543.png",
     "Concurrent Systems/slides/class 12.pdf",
     "HCIW/slides/HCI in the car.pdf",
     "Concurrent Systems/slides/class 11.pdf",
diff --git a/Concurrent Systems/notes/15 - A formal language for LTSs.md b/Concurrent Systems/notes/15 - A formal language for LTSs.md
index 0056d32..047c942 100644
--- a/Concurrent Systems/notes/15 - A formal language for LTSs.md	
+++ b/Concurrent Systems/notes/15 - A formal language for LTSs.md	
@@ -32,3 +32,6 @@ However, this can never happen, whatever P’ be;
 hence, P |= ☐aFF holds true only if P cannot perform any action a
 
 ![](../../Pasted%20image%2020250505085454.png)
+
+Let us now define the set of formulae satisfied by a process as $$L(P) = \{ \phi \in Form:P \models \phi \}$$
+To simplify the proof, let us modify the set of formulae 
\ No newline at end of file