of viable prefixes. Thus, a key step in constructing the parser is to develop the FSM from just the
grammar specifications. The FSM is constructed by essentially partitioning the viable prefix set into
equivalent classes.
The FSM transition diagram is given in Fig. 4.8. Due to the nature of the FSM transitions, we shall
call this an LR(0) parser and the grammar an LR(0) grammar.
Fig. 4.8 FSM for a parser for the example grammar
0
1
3
2
4
5
6
7
8
9
10
11
E -> E + T
E -> E * T
T -> (E)
T->a
start
E
T
T
T
T
)
(
(
(
(
*
*
+
+
a
a
a
a
E->T
S -> E#
#
E
4.3.4 FSM for an LR(0) Parser
We shall take the FSM for the example grammar and use it to discuss ...
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