update docs

doc/create_game.md

@@ -223,25 +223,9 @@ One thing to keep in mind is that the game will look at the main proof to figure
 Most important for game development are probably the `Hints`.
 
 The hints will be displayed whenever the player's current goal matches the goal the hint is
-placed at inside the sample proof. You can use `Branch` to place hints in dead ends or alternative proof strands. If you specify
+placed at inside the sample proof. You can use `Branch` to place hints in dead ends or alternative proof strands.
 
-```
-Hint (strict := true) "some hidden hint"
-```
-
-a hint only matches iff the assumptions match exactly one-to-one. (Otherwise, it does not care if there are additional assumptions in context)
-
-Further, you can choose to hide hints and only have them displayed when the player presses "More Help":
-```
-Hint (hidden := true) "some hidden hint"
-```
-
-Lastly, you should put variable names in hints inside brackets:
-
-```
-Hint "now use `rw [{h}]` to use your assumption {h}."
-```
-That way, the game will replace it with the actual name the assumption has in the player's proof state.
+Read [More about Hints](doc/hints.md) for how they work and what the options are.
 
 ### 6. e) Extra: Images
 You can add images on any layer of the game (i.e. game/world/level). These will be displayed in your game.

doc/hints.md

@@ -0,0 +1,87 @@
+# Hints
+
+Most important for game development are probably the "Hints". You can add Hints at any place in your proof using the `Hint` tactic
+
+```
+Statement .... := by
+  Hint "Hint to show at the start"
+  rw [h]
+  Hint "some tip after using rw"
+  ...
+```
+
+## 1. When do hints show?
+
+A hint will be displayed if the player's goal matches the one where the hint was placed in the
+sample solutions and the entire context from the sample solutions is present in the
+player's context. The player's context may contain additional items.
+
+This means if you have multiple identical
+subgoals, you should only place a single hint in one of them and it will be displayed in
+all of them.
+
+However, identical (non-hidden) hints which where already present in the step
+before are omitted. This is to allow a player to add new assumptions to context, for example
+with `have`, without seeing the same hint over and over again.
+Hidden hints are not filtered.
+
+## 2. Alternative Proofs / `Branch`
+
+You can use `Branch` to place hints
+in dead ends or alternative proof strands.
+
+A proof inside a `Branch`-block is normally evaluated by lean but it's discarded at the end
+so that no progress has been made on proofing the goal.
+
+```
+Statement .... := by
+  Hint "Huse `rw` or `rewrite`."
+  Branch
+    rewrite [h]
+    Hint "now you still need `rfl`"
+  rw [h]
+```
+
+## 3. Variables names
+
+Put variables in the hint text inside brackets like this: `{h}`! This way the server can replace
+the variable's name with the one the user actually used.
+
+For example, if the sample proof contains
+
+```
+have h : True := trivial
+Hint "Now use `rw [{h}]` to use your assumption `{h}`."
+```
+
+but the player writes `have g : True := trivial`, they will see a hint saying
+"Now use `rw [g]` to use your assumption `g`."
+
+## 4. Hidden hints
+
+Some hints can be hidden, and only show after the user clicks on a button to get additional
+help. You mark a hint as hidden with `(hidden := true)`:
+
+```
+Hint (hidden := true) "some hidden hint"
+```
+
+## 5. Strict context matching
+
+If you use the attribute `(strict := true)` a hint is only shown if the entire context
+matches exactly the one where the hint is placed. With `(hint := false)`, which is the default,
+it does not matter if additional assumptions are present in the player's context.
+
+```
+Hint (strict := true) "now use `have` to create a new assumption."
+```
+
+You should probably use `(strict := true)` if you want to give fine-grained details about
+tactics like `have` which do not modify the goal or any existing assumptions, but only
+create new assumptions.
+
+## 6. Formatting
+
+You can add use markdown to format your hints, for example you can use KaTex: `$\\iff$`
+
+TODO: Write a doc about latex/markdown options available.

doc/publish_game.md

@@ -26,4 +26,7 @@ Now you can immediately play the game at `adam.math.hhu.de/#/g/{USER}/{REPOSITOR
 
 ## 4. Main page
 
-Adding games to the main page happens manually by the server maintainers. Tell us if youwould like your game to appear on the start page.
+Adding games to the main page happens manually by the server maintainers. Tell us if you want us
+to add a tile for your game!
+
+For example, you can [contact Jon on Zulip](https://leanprover.zulipchat.com/#narrow/dm/385895-Jon-Eugster). Or [via Email](https://www.math.hhu.de/en/lehrstuehle-/-personen-/-ansprechpartner/innen/lehrstuehle-des-mathematischen-instituts/lehrstuhl-fuer-algebraische-geometrie/team/jon-eugster).