fixing parsing

docs/about/progress.md

@@ -1,11 +1,9 @@
-# draft of presentation
-
-## sappho short
+# sappho short
 	- sappho types intro
 	- a quick look at msph and spho
 
 
-### The types
+## The types
 
 We take a look at the grammar for sappho types
 
@@ -15,7 +13,7 @@ s, t ::= s | t              (disjunction, a.k.a. union)
        | s => t             (implication)
        | s -> t             (arrow, a.k.a. function)
        | forall x . t       (forall, polymorphic)
-       | box t              (box, c.f. modular logic)
+       | box t              (box, c.f. modal logic)
        | a [t..]            (type operator application)
        | x                  (variable)
        | n                  (nominal)
@@ -30,7 +28,7 @@ n ∈ nominal
 a ∈ opname
 ```
 
-The type `t <: s` would be expressive sugar for `box (t => s)`
+The type `t <: s` would be syntactic sugar for `box (t => s)`
 
 ### msph and spho
 
@@ -60,7 +58,7 @@ Thoughts
 * maybe eventually add a basic term language and interpreter
 * can we use external software/libraries for proof search?
 
-## interpretation of types
+# interpretation of types
 	- example programs in `msph`
 		- unified syntax for types and bounded polymorphism
 		- example: self typing
@@ -75,7 +73,8 @@ Check formalities.md.
 	- simple rules
 	- type constructor rules
 	- recursion and cyclic proofs
-* next steps?
+
+# next steps?
 	- formals:
 		- formulate theorems
 			- if we use semantic subtyping, isn't it enough to
@@ -85,3 +84,4 @@ Check formalities.md.
 		- simple rules, should be fairly simple
 		- type constructors, straightforward hopefully
 		- recursion and cyclic proofs... `¯\_(ツ)_/¯`
+	- describe use of language with type system (interpretation of types)