ANTLR4 Grammar picks up 'and' and 'or' in variable names - antlr4

Question

Please help me with my ANTLR4 Grammar.
Sample "formel":
(Arbejde.ArbejderIKommuneNr=860) and (Arbejde.ErIArbejde = 'J') &
(Arbejde.ArbejdsTimerPrUge = 40)
(Ansogeren.BorIKommunen = 'J') and (BeregnDato(Ansogeren.Fodselsdato;
'+62Å') < DagsDato)
(Arb.BorI=860)
My problem is that Arb.BorI=860 is not handled correct. I get this error:
Error: no viable alternative at input '(Arb.Bor' at linenr/position: 1/6 \r\nException: Der blev udløst en undtagelse af typen 'Antlr4.Runtime.NoViableAltException
Please notis that Arb.BorI contains the word 'or'.
I think my problem is that my 'booleanOps' in the grammar override 'datakildefelt'
So... My problem is how do I get my grammar correct - I am stuck, so any help will be appreciated.
My Grammar:
grammar UnikFormel;
formel : boolExpression # BooleanExpr
| expression # Expr
| '(' formel ')' # Parentes;
boolExpression : ( '(' expression ')' ) ( booleanOps '(' expression ')' )+;
expression : element compareOps element # Compare;
element : datakildefelt # DatakildeId
| function # Funktion
| int # Integer
| decimal # Real
| string # Text;
datakildefelt : datakilde '.' felt;
datakilde : identifyer;
felt : identifyer;
function : funktionsnavn ('(' funcParameters? ')')?;
funktionsnavn : identifyer;
funcParameters : funcParameter (';' funcParameter)*;
funcParameter : element;
identifyer : LETTER+;
int : DIGIT+;
decimal : DIGIT+ '.' DIGIT+ | '.' DIGIT+;
string : QUOTE .*? QUOTE;
booleanOps : (AND | OR);
compareOps : (LT | GT | EQ | GTEQ | LTEQ);
QUOTE : '\'';
OPERATOR: '+';
DIGIT: [0-9];
LETTER: [a-åA-Å];
MUL : '*';
DIV : '/';
ADD : '+';
SUB : '-';
GT : '>';
LT : '<';
EQ : '=';
GTEQ : '>=';
LTEQ : '<=';
AND : '&' | 'and';
OR : '?' | 'or';
WS : ' '+ -> skip;

Answer 1

Rules that come first always have precedence. In your case you need to move AND and OR before LETTER. Also there is the same problem with GTEQ and LTEQ, maybe somewhere else too.
EDIT
Additionally, you should make identifyer a lexer rule, i.e. start with capital letter (IDENTIFIER or Identifier). The same goes for int, decimal and string. Input is initially a stream of characters and is first processed into a stream of tokens, using only lexer rules. At this point parser rules (those starting with lowercase letter) do not come to play yet. So, to make "BorI" parse as single entity (token), you need to create a lexer rule that matches identifiers. Currently it would be parsed as 3 tokens: LETTER (B) OR (or) LETTER (I).

Answer 2

Thanks for your help. There were multiple problems. Reading the ANTLR4 book and using "TestRig -gui" got me on the right track. The working grammar is:
grammar UnikFormel;
formel : '(' formel ')' # Parentes
| expression # Expr
| boolExpression # BooleanExpr
;
boolExpression : '(' expression ')' ( booleanOps '(' expression ')' )+
| '(' formel ')' ( booleanOps '(' formel ')' )+;
expression : element compareOps element # Compare;
datakildefelt : ID '.' ID;
function : ID ('(' funcParameters? ')')?;
funcParameters : funcParameter (';' funcParameter)*;
funcParameter : element;
element : datakildefelt # DatakildeId
| function # Funktion
| INT # Integer
| DECIMAL # Real
| STRING # Text;
booleanOps : (AND | OR);
compareOps : ( GTEQ | LTEQ | LT | GT | EQ |);
AND : '&' | 'and';
OR : '?' | 'or';
GTEQ : '>=';
LTEQ : '<=';
GT : '>';
LT : '<';
EQ : '=';
ID : LETTER ( LETTER | DIGIT)*;
INT : DIGIT+;
DECIMAL : DIGIT+ '.' DIGIT+ | '.' DIGIT+;
STRING : QUOTE .*? QUOTE;
fragment QUOTE : '\'';
fragment DIGIT: [0-9];
fragment LETTER: [a-åA-Å];
WS : [ \t\r\n]+ -> skip;