I'm trying to parse a simple grammar using an LALR(1) parser generator (Bison, but the problem is not specific to that tool), and I'm hitting a shift-reduce conflict. The docs and other sources I've found about fixing these tend to say one or more of the following:
However, none of these seem to apply to my situation: the grammar is unambiguous so far as I can tell (though of course it's ambiguous with only one character of lookahead), it has only one operator, and the default resolution leads to parse errors on correctly-formed input. Are there any techniques for reworking the definition of a grammar to remove shift-reduce conflicts that don't fall into the above buckets?
For concreteness, here's the grammar in question:
%token LETTER
%%
%start input;
input: /* empty */ | input input_elt;
input_elt: rule | statement;
statement: successor ';';
rule: LETTER "->" successor ';';
successor: /* empty */ | successor LETTER;
%%
The intent is to parse semicolon-separated lines of the form "[A-Za-z]+" or "[A-Za-z] -> [A-Za-z]+".
Using the Solaris version of yacc
, I get:
1: shift/reduce conflict (shift 5, red'n 7) on LETTER
state 1
$accept : input_$end
input : input_input_elt
successor : _ (7)
$end accept
LETTER shift 5
. reduce 7
input_elt goto 2
rule goto 3
statement goto 4
successor goto 6
So, the trouble is, as it very often is, the empty rule - specifically, the empty successor. It isn't completely clear whether you want to allow a semi-colon as a valid input - at the moment, it is. If you modified the successor rule to:
successor: LETTER | successor LETTER;
the shift/reduce conflict is eliminated.