Issue with parse order in ANTLR4 grammar

Below is a very simplified grammar to illustrate the problem. I likely can handle the existing result in generated code, but suspect there is some more elegant way to instead control the parser. Appreciate any tips.

grammar
  a: a binop a | unop a
  binop: '&'
  unop: '~'

code to be parsed
  ~A & ~B & C

result
  unop (A binop ((unop B) binop C)

desired
  (unop A) binop ((unop B) binop C)

Have tried some tips from articles solving related issues, but nothing matching just this - and no success.

Solution

You need to do 2 things:

move UNOP a above a BINOP a to give it a higher precedence
let binary expressions be right associative so that A & B & C is not parsed as ((A & B) & C) but as (A & (B & C)) instead

This grammar:

parse : a EOF;

a
 : UNOP a
 | <assoc=right> a BINOP a
 | ID
 ;

ID    : [A-Z]+;
BINOP : '&';
UNOP  : '~';
SPACE : [ \t\r\n] -> skip;

will parse your input ~A & ~B & C as follows:

Issue with parse order in ANTLR4 grammar
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