added EBNF

HOME_EXAM.md

-# Home Exam D7050E
-
-- Fork this repo and put your answers (or links to answers) in THIS file.
+- [Your repo](#your-repo)
+- [Your syntax](#your-syntax)
+- [Your semantics](#your-semantics)
+- [Your type checker](#your-type-checker)
+- [Your borrrow checker](#your-borrrow-checker)
+- [Your LLVM backend](#your-llvm-backend)
+- [Overal course goals and learning outcomes.](#overal-course-goals-and-learning-outcomes)
 
 ## Your repo
 
@@ -16,9 +20,125 @@
 
 - Compare your solution to the requirements (as stated in the README.md). What are your contributions to the implementation.
 
-
-
-
+Program
+```ebnf
+    : FunctionDec+
+    ;
+```
+FunctionDec
+```ebnf
+    : "fn" Id "(" [ "," ], Params ")" "->" Type "{" Statement "}"
+    | "fn" Id "(" [ "," ], Params ")" "{" Statement "}"
+    ;
+```
+Params
+```ebnf
+    : "Id" ":" Type
+    ;
+```
+Statement
+```ebnf
+    : "let" Id ":" Type AssignOp Expr ";"
+    | "if" Log "{" Statement "}"
+    | "while" Log "{" Statement "}"
+    | "return" Expr ";"
+    | Expr ";"
+    ;
+```
+LogOp
+```ebnf
+    : "&&"
+    | "||"
+    | "!"
+    ;
+```
+CondOp
+```ebnf
+    : ">"
+    | "<"
+    | "=="
+    | "!="
+    ;
+```
+AssignOp
+```ebnf
+    : "="
+    | "+="
+    | "-="
+    | "/="
+    | "*="
+    ;
+```
+SumOp
+```ebnf
+    : "+"
+    | "-"
+    ;
+```
+FactorOp
+```ebnf
+    : "*"
+    | "/"
+    ;
+```
+Type
+```ebnf
+    : "i32"
+    | "bool"
+    ;
+```
+Term
+```ebnf
+    : Num
+    | Id
+    | Bool
+    | Function
+    | "(" Expr ")"
+    ;
+```
+Num
+```ebnf
+    : [ "-" ], Digit
+    ;
+```
+
+Id
+```ebnf
+    : Letter , { Letter | Digit }, - White_space
+```
+Bool
+```ebnf
+    : "true"
+    | "false"
+    ;
+```
+Function
+```ebnf
+    : Id "(" [ "," ], Expr ")"
+    ;
+```
+Letter
+```ebnf
+    : "A" | "B" | "C" | "D" | "E" | "F" | "G"
+    | "H" | "I" | "J" | "K" | "L" | "M" | "N"
+    | "O" | "P" | "Q" | "R" | "S" | "T" | "U"
+    | "V" | "W" | "X" | "Y" | "Z" | "a" | "b"
+    | "c" | "d" | "e" | "f" | "g" | "h" | "i"
+    | "j" | "k" | "l" | "m" | "n" | "o" | "p"
+    | "q" | "r" | "s" | "t" | "u" | "v" | "w"
+    | "x" | "y" | "z" 
+    ;
+```
+Digit
+```ebnf
+    : "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9" 
+    ;
+```
+White_space
+```ebnf
+    : ? White_space characters ? 
+    ;
+```
 ## Your semantics
 
 - Give an as complete as possible Structural Operetional Semantics (SOS) for your language