diff --git a/docs/grammar.ebnf b/docs/grammar.ebnf
index 1b881c6..a99b01b 100644
--- a/docs/grammar.ebnf
+++ b/docs/grammar.ebnf
@@ -48,7 +48,7 @@ non_exportable_declaration =
     <namespaced_identifier> ( "::" "*" )?
 
 <alias_statement> =
-  "using" <identifier> "=" <namespaced_identifier> ";"
+  "using" <identifier> "=" <type> ";"
 
 
 /* --- Declarations --- */
@@ -106,7 +106,6 @@ non_exportable_declaration =
   | <return_statement> ";"
   | <break_statement> ";"
   | <continue_statement> ";"
-  | <alias_statement>
   | <match_statement>
   | <switch_statement>
   | <loop_statement>
@@ -147,7 +146,7 @@ non_exportable_declaration =
   )
 
 <c_for_statement> =
-  "for" "(" <variable_declaration>? ";" <expression> ";" <expression>? ")"
+  "for" "(" ( <variable_declaration> | <expression> )? ";" <expression> ";" <expression>? ")"
   <code_block>
 
 <range_for_statement> =