How to find shift/reduce conflict in this yacc file?

Question

When I try to use yacc on the following file I get the error conflicts: 1 shift/reduce How can I find and fix the conflict?

/* C-Minus BNF Grammar */

%token ELSE
%token IF
%token INT
%token RETURN
%token VOID
%token WHILE

%token ID
%token NUM

%token LTE
%token GTE
%token EQUAL
%token NOTEQUAL
%%

program : declaration_list ;

declaration_list : declaration_list declaration | declaration ;

declaration : var_declaration | fun_declaration ;

var_declaration : type_specifier ID ';'
                | type_specifier ID '[' NUM ']' ';' ;

type_specifier : INT | VOID ;

fun_declaration : type_specifier ID '(' params ')' compound_stmt ;

params : param_list | VOID ;

param_list : param_list ',' param
           | param ;

param : type_specifier ID | type_specifier ID '[' ']' ;

compound_stmt : '{' local_declarations statement_list '}' ;

local_declarations : local_declarations var_declaration
                   | /* empty */ ;

statement_list : statement_list statement
               | /* empty */ ;

statement : expression_stmt
          | compound_stmt
          | selection_stmt
          | iteration_stmt
          | return_stmt ;

expression_stmt : expression ';'
                | ';' ;

selection_stmt : IF '(' expression ')' statement
               | IF '(' expression ')' statement ELSE statement ;

iteration_stmt : WHILE '(' expression ')' statement ;

return_stmt : RETURN ';' | RETURN expression ';' ;

expression : var '=' expression | simple_expression ;

var : ID | ID '[' expression ']' ;

simple_expression : additive_expression relop additive_expression
                  | additive_expression ;

relop : LTE | '<' | '>' | GTE | EQUAL | NOTEQUAL ;

additive_expression : additive_expression addop term | term ;

addop : '+' | '-' ;

term : term mulop factor | factor ;

mulop : '*' | '/' ;

factor : '(' expression ')' | var | call | NUM ;

call : ID '(' args ')' ;

args : arg_list | /* empty */ ;

arg_list : arg_list ',' expression | expression ;

Answer 1

As mientefuego pointed out you grammar has the classic "dangling else" problem. You could beat the problem by assigning precedence to the rules that causes conflict.

The rule causing conflict is:

selection_stmt : IF '(' expression ')' statement
               | IF '(' expression ')' statement ELSE statement ;

First start by making ELSE and LOWER_THAN_ELSE ( a pseudo-token ) non associative:

%nonassoc LOWER_THAN_ELSE
%nonassoc ELSE

This gives ELSE more precedence over LOWER_THAN_ELSE simply because LOWER_THAN_ELSE is declared first.

Then in the conflicting rule you have to assign a precedence to either the shift or reduce action:

selection_stmt : IF '(' expression ')' statement    %prec LOWER_THAN_ELSE ;
               | IF '(' expression ')' statement ELSE statement ;

Here, higher precedence is given to shifting. I have incorporated the above mentioned corrections and listed the complete grammar below:

/* C-Minus BNF Grammar */

%token ELSE
%token IF
%token INT
%token RETURN
%token VOID
%token WHILE

%token ID
%token NUM

%token LTE
%token GTE
%token EQUAL
%token NOTEQUAL

%nonassoc LOWER_THAN_ELSE
%nonassoc ELSE
%%

program : declaration_list ;

declaration_list : declaration_list declaration | declaration ;

declaration : var_declaration | fun_declaration ;

var_declaration : type_specifier ID ';'
                | type_specifier ID '[' NUM ']' ';' ;

type_specifier : INT | VOID ;

fun_declaration : type_specifier ID '(' params ')' compound_stmt ;

params : param_list | VOID ;

param_list : param_list ',' param
           | param ;

param : type_specifier ID | type_specifier ID '[' ']' ;

compound_stmt : '{' local_declarations statement_list '}' ;

local_declarations : local_declarations var_declaration
                   | /* empty */ ;

statement_list : statement_list statement
               | /* empty */ ;

statement : expression_stmt
          | compound_stmt
          | selection_stmt
          | iteration_stmt
          | return_stmt ;

expression_stmt : expression ';'
                | ';' ;

selection_stmt : IF '(' expression ')' statement    %prec LOWER_THAN_ELSE ;
               | IF '(' expression ')' statement ELSE statement ;

iteration_stmt : WHILE '(' expression ')' statement ;

return_stmt : RETURN ';' | RETURN expression ';' ;

expression : var '=' expression | simple_expression ;

var : ID | ID '[' expression ']' ;

simple_expression : additive_expression relop additive_expression
                  | additive_expression ;

relop : LTE | '<' | '>' | GTE | EQUAL | NOTEQUAL ;

additive_expression : additive_expression addop term | term ;

addop : '+' | '-' ;

term : term mulop factor | factor ;

mulop : '*' | '/' ;

factor : '(' expression ')' | var | call | NUM ;

call : ID '(' args ')' ;

args : arg_list | /* empty */ ;

arg_list : arg_list ',' expression | expression ;