feat: add typed ast and Hindley-Milner style semantic analysis

src/main.rs

@@ -1,6 +1,7 @@
 use std::{env::args, fs::read_to_string, process::exit};
 
 use crate::frontend::parser::Parser;
+use crate::frontend::sema::Sema;
 
 pub mod frontend;
 
@@ -26,5 +27,16 @@ fn main() {
         exit(1);
     }
 
-    println!("{:#?}", module);
+    let mut sema = Sema::new();
+    let typed_module = sema.analyze_module(&module);
+
+    if let Some(errors) = sema.errors() {
+        for error in errors {
+            eprintln!("{:?}", error);
+        }
+
+        exit(1);
+    }
+
+    println!("{:#?}", typed_module);
 }