diff --git a/client/src/components/Level.tsx b/client/src/components/Level.tsx
index 9e44489..513a8ed 100644
--- a/client/src/components/Level.tsx
+++ b/client/src/components/Level.tsx
@@ -76,8 +76,9 @@ function PlayableLevel({worldId, levelId}) {
   const codeviewRef = useRef<HTMLDivElement>(null)
   const introductionPanelRef = useRef<HTMLDivElement>(null)
 
-  const initialCode = useAppSelector(selectCode(worldId, levelId))
-  const initialSelections = useAppSelector(selectSelections(worldId, levelId))
+  const gameId = React.useContext(GameIdContext)
+  const initialCode = useAppSelector(selectCode(gameId, worldId, levelId))
+  const initialSelections = useAppSelector(selectSelections(gameId, worldId, levelId))
 
   const [commandLineMode, setCommandLineMode] = useState(true)
   const [commandLineInput, setCommandLineInput] = useState("")
@@ -126,14 +127,13 @@ function PlayableLevel({worldId, levelId}) {
     }]);
   }
 
-  const gameId = React.useContext(GameIdContext)
   const gameInfo = useGetGameInfoQuery({game: gameId})
   const level = useLoadLevelQuery({game: gameId, world: worldId, level: levelId})
 
   const dispatch = useAppDispatch()
 
   const onDidChangeContent = (code) => {
-    dispatch(codeEdited({world: worldId, level: levelId, code}))
+    dispatch(codeEdited({game: gameId, world: worldId, level: levelId, code}))
 
     setCanUndo(code.trim() !== "")
   }
@@ -142,10 +142,10 @@ function PlayableLevel({worldId, levelId}) {
     const selections = monacoSelections.map(
       ({selectionStartLineNumber, selectionStartColumn, positionLineNumber, positionColumn}) =>
       {return {selectionStartLineNumber, selectionStartColumn, positionLineNumber, positionColumn}})
-    dispatch(changedSelection({world: worldId, level: levelId, selections}))
+    dispatch(changedSelection({game: gameId, world: worldId, level: levelId, selections}))
   }
 
-  const completed = useAppSelector(selectCompleted(worldId, levelId))
+  const completed = useAppSelector(selectCompleted(gameId, worldId, levelId))
 
   const {editor, infoProvider, editorConnection} =
     useLevelEditor(worldId, levelId, codeviewRef, initialCode, initialSelections, onDidChangeContent, onDidChangeSelection)
@@ -408,7 +408,7 @@ function useLoadWorldFiles(worldId) {
         if (model) {
           models.push(model)
         } else {
-          const code = selectCode(worldId, levelId)(store.getState())
+          const code = selectCode(gameId, worldId, levelId)(store.getState())
           models.push(monaco.editor.createModel(code, 'lean4', uri))
         }
       }
diff --git a/client/src/components/Welcome.tsx b/client/src/components/Welcome.tsx
index c5fce54..5fb36f3 100644
--- a/client/src/components/Welcome.tsx
+++ b/client/src/components/Welcome.tsx
@@ -19,7 +19,7 @@ import { GameIdContext } from '../App';
 
 function LevelIcon({ worldId, levelId, position }) {
   const gameId = React.useContext(GameIdContext)
-  const completed = useSelector(selectCompleted(worldId,levelId))
+  const completed = useSelector(selectCompleted(gameId, worldId,levelId))
   // TODO: relative positioning?
   return (
     <Link to={`/game/${gameId}/${worldId}/level/${levelId}`} key={`/game/${gameId}/world/${worldId}/level/${levelId}`}>
diff --git a/client/src/components/infoview/main.tsx b/client/src/components/infoview/main.tsx
index 369bdf7..39075bd 100644
--- a/client/src/components/infoview/main.tsx
+++ b/client/src/components/infoview/main.tsx
@@ -19,10 +19,12 @@ import { WithRpcSessions } from '../../../../node_modules/lean4-infoview/src/inf
 import { ServerVersion } from '../../../../node_modules/lean4-infoview/src/infoview/serverVersion';
 import { useAppDispatch, useAppSelector } from '../../hooks';
 import { levelCompleted, selectCompleted } from '../../state/progress';
+import { GameIdContext } from '../../App';
 
 
 export function Main(props: {world: string, level: number}) {
     const ec = React.useContext(EditorContext);
+    const gameId = React.useContext(GameIdContext)
 
     const dispatch = useAppDispatch()
 
@@ -33,13 +35,13 @@ export function Main(props: {world: string, level: number}) {
 
             if (ec.events.changedCursorLocation.current &&
                 ec.events.changedCursorLocation.current.uri === params.uri) {
-                dispatch(levelCompleted({world: props.world, level: props.level}))
+                dispatch(levelCompleted({game: gameId, world: props.world, level: props.level}))
             }
         },
         []
     );
 
-    const completed = useAppSelector(selectCompleted(props.world, props.level))
+    const completed = useAppSelector(selectCompleted(gameId, props.world, props.level))
 
     /* Set up updates to the global infoview state on editor events. */
     const config = useEventResult(ec.events.changedInfoviewConfig) ?? defaultInfoviewConfig;
diff --git a/client/src/state/localStorage.ts b/client/src/state/localStorage.ts
index a290d75..729d84d 100644
--- a/client/src/state/localStorage.ts
+++ b/client/src/state/localStorage.ts
@@ -1,4 +1,4 @@
-const KEY = "progress";
+const KEY = "game_progress";
 export function loadState() {
   try {
     const serializedState = localStorage.getItem(KEY);
diff --git a/client/src/state/progress.ts b/client/src/state/progress.ts
index 6005d4f..3d0a29c 100644
--- a/client/src/state/progress.ts
+++ b/client/src/state/progress.ts
@@ -3,7 +3,7 @@ import type { PayloadAction } from '@reduxjs/toolkit'
 import { loadState } from "./localStorage";
 
 interface ProgressState {
-  level: {[world: string]: {[level: number]: LevelProgressState}}
+  level: {[game: string]: {[world: string]: {[level: number]: LevelProgressState}}}
 }
 interface Selection {
   selectionStartLineNumber: number,
@@ -20,12 +20,15 @@ interface LevelProgressState {
 const initialProgressState = loadState() ?? { level: {} } as ProgressState
 const initalLevelProgressState = {code: "", completed: false} as LevelProgressState
 
-function addLevelProgress(state, action: PayloadAction<{world: string, level: number}>) {
-  if (!state.level[action.payload.world]) {
-    state.level[action.payload.world] = {}
+function addLevelProgress(state, action: PayloadAction<{game: string, world: string, level: number}>) {
+  if (!state.level[action.payload.game]) {
+    state.level[action.payload.game] = {}
   }
-  if (!state.level[action.payload.world][action.payload.level]) {
-    state.level[action.payload.world][action.payload.level] = {...initalLevelProgressState}
+  if (!state.level[action.payload.game][action.payload.world]) {
+    state.level[action.payload.game][action.payload.world] = {}
+  }
+  if (!state.level[action.payload.game][action.payload.world][action.payload.level]) {
+    state.level[action.payload.game][action.payload.world][action.payload.level] = {...initalLevelProgressState}
   }
 }
 
@@ -33,45 +36,46 @@ export const progressSlice = createSlice({
   name: 'progress',
   initialState: initialProgressState,
   reducers: {
-    codeEdited(state, action: PayloadAction<{world: string, level: number, code: string}>) {
+    codeEdited(state, action: PayloadAction<{game: string, world: string, level: number, code: string}>) {
       addLevelProgress(state, action)
-      state.level[action.payload.world][action.payload.level].code = action.payload.code
-      state.level[action.payload.world][action.payload.level].completed = false
+      state.level[action.payload.game][action.payload.world][action.payload.level].code = action.payload.code
+      state.level[action.payload.game][action.payload.world][action.payload.level].completed = false
     },
-    changedSelection(state, action: PayloadAction<{world: string, level: number, selections: Selection[]}>) {
+    changedSelection(state, action: PayloadAction<{game: string, world: string, level: number, selections: Selection[]}>) {
       addLevelProgress(state, action)
-      state.level[action.payload.world][action.payload.level].selections = action.payload.selections
+      state.level[action.payload.game][action.payload.world][action.payload.level].selections = action.payload.selections
     },
-    levelCompleted(state, action: PayloadAction<{world: string, level: number}>) {
+    levelCompleted(state, action: PayloadAction<{game: string, world: string, level: number}>) {
       addLevelProgress(state, action)
-      state.level[action.payload.world][action.payload.level].completed = true
+      state.level[action.payload.game][action.payload.world][action.payload.level].completed = true
     },
   }
 })
 
-export function selectLevel(world: string, level: number) {
+export function selectLevel(game: string, world: string, level: number) {
   return (state) =>{
-    if (!state.progress.level[world]) { return initalLevelProgressState }
-    if (!state.progress.level[world][level]) { return initalLevelProgressState }
-    return state.progress.level[world][level]
+    if (!state.progress.level[game]) { return initalLevelProgressState }
+    if (!state.progress.level[game][world]) { return initalLevelProgressState }
+    if (!state.progress.level[game][world][level]) { return initalLevelProgressState }
+    return state.progress.level[game][world][level]
   }
 }
 
-export function selectCode(world: string, level: number) {
+export function selectCode(game: string, world: string, level: number) {
   return (state) => {
-    return selectLevel(world, level)(state).code
+    return selectLevel(game, world, level)(state).code
   }
 }
 
-export function selectSelections(world: string, level: number) {
+export function selectSelections(game: string, world: string, level: number) {
   return (state) => {
-    return selectLevel(world, level)(state).selections
+    return selectLevel(game, world, level)(state).selections
   }
 }
 
-export function selectCompleted(world: string, level: number) {
+export function selectCompleted(game: string, world: string, level: number) {
   return (state) => {
-    return selectLevel(world, level)(state).completed
+    return selectLevel(game, world, level)(state).completed
   }
 }