> inductive generation of formal topologies
by Stefano Berardi and Silvio Valentini.
+
The tutorial is by Enrico Tassi.
The tutorial spends a considerable amount of effort in defining
to make the formalization (at least the definitions and proved
statements) readable to the author of the paper.
+The formalization uses the ng (new generation) version of Matita
+(that will be named 1.x when finally released).
+Last stable release of the "old" system is named 0.5.7; the ng system
+is coexisting with the old one in every development release
+(named "nightly builds" in the download page of Matita)
+with a version strictly greater than 0.5.7.
+
+To read this tutorial in HTML format, you need a decent browser
+equipped with a unicode capable font. Use the PDF format if some
+symbols are not displayed correctly.
+
Orienteering
------------
example W has Ω, 𝕎 and 𝐖, L has Λ, 𝕃, and 𝐋, F has Φ, …
Variants are listed in the aforementioned TeX/UTF-8 table.
+The syntax of terms (and types) is the one of the λ-calculus CIC
+on which Matita is based. The main syntactical difference w.r.t.
+the usual mathematical notation is the function application, written
+`(f x y)` in place of `f(x,y)`.
+
Pressing `F1` opens the Matita manual.
CIC (as [implemented in Matita][3]) in a nutshell
D*)
-(* ncheck xcreflexivity. *)
+(** ncheck xcreflexivity. *) (* shows: ∀A:Ax.∀U:Ω^A.∀a:A.a∈U → xcover A U a *)
(*D
D*)
-(* ncheck cover_rect_CProp0. *)
+(** ncheck cover_rect_CProp0. *)
(*D