From 691d66964215329ee8e84d2dd0355c5edad4e5d1 Mon Sep 17 00:00:00 2001
From: JKF <unijkf@gmail.com>
Date: Wed, 3 Jun 2026 16:25:51 +0200
Subject: [PATCH] yeyeye

---
 slides/main.md | 43 ++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 40 insertions(+), 3 deletions(-)

diff --git a/slides/main.md b/slides/main.md
index d5df0da..8737ded 100644
--- a/slides/main.md
+++ b/slides/main.md
@@ -19,6 +19,11 @@ style: |
 #### Julius Fischer
 
 ###### 10. Juni 2026
+$$
+\def\leftcirc{{\triangleleft\kern-0.1em\circ}}
+\def\myor{{\;|\;}}
+
+$$
 
 ---
 # What are Destinations?
@@ -64,12 +69,44 @@ map f (x:xs) dest = map f xs (push dest (f x))
 --- 
 # DPS in functional languages
 - Just add pointers to mutable data?
-    - $Int \mapsto Int \mapsto Int \mapsto \textcolor{red}{T}$
-    - $\textcolor{red}{T *}\mapsto Int \mapsto Int \mapsto Int \mapsto Void$
+    - $Int \mapsto Int \mapsto \textcolor{red}{T}$
+    - $\textcolor{red}{T *}\mapsto Int \mapsto Int \mapsto \dots$
+- Multiple issues with this
+    - Memory safety
+    - Multilpe writes on shared memory
+    - Purity
 
 ---
 # Destination Calculus
-- It's 
+- Basic FP terms
+$$
+t, u := x \myor t' t \;|\; t ; t' \;|\; \dots
+$$
+- Case for all datatypes
+$$
+\begin{align}
+    \dots \myor 
+    &case_m\;t\;of\;(v_1, v_2) \mapsto u \myor\\
+    &case_m\;t\;of\;(Inl\;v_1) \mapsto u \myor \dots
+\end{align}
+$$
+- Additions for destination passing
+$$
+\begin{align}
+    \dots \myor
+    &
+    new_\ltimes \myor
+    from_\ltimes t \myor
+    to_\ltimes t \myor
+    upd_\ltimes \; t \; with \; x \mapsto t' \myor\\
+    &
+    t \blacktriangleleft t' \myor
+    t  \leftcirc t' \myor
+    t \triangleleft () \myor
+    t \triangleleft Inl \myor
+    t \triangleleft (,) \myor \dots
+\end{align}
+$$
 
 --- 
 # Referenes