Formality-Core
A lighweight proof language. Whitepaper.
Installation
Formality-Core has multiple reference implementations. Currently, the easiest to
install uses JavaScript. First, install npm
in your system. Then, on the command line, type: npm -g formality-core
. If all
goes well, the language should be accessible via the fmc
command.
Using
To use it, save a .fmc
file. For example, save he file below as main.fmc
:
main : <A: Type> -> A -> A
<A> (x) x
And type fmc main
. This should output:
Type-checking main.fmc:
main : <A: Type> -> A -> A
All terms check.
Evaluating `main`:
(x) x
You can also compile .fmc
files to JavaScript with fmcjs main
, or to Haskell
with fmchs
main. You can run a script with fmcio main
. In this case, main
must have an IO type.
Contributing
Since Formality-Core is so simple, it doesn't come with built-in functions you
would expect, and it doesn't have a standard library. But you're welcome to
clone the Moonad
repository, where we're
building several common data structures and algorithms, and contribute!