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50. Consider the grammar generated by 1
i , j n , i j using the following
template:
S
X i z i
X i
y j X i
|
y j
The resulting grammar has O ( n
2 )productions.
(a) Show that the CFSM for this grammar has O (2 n ) states.
(b) Explain why the grammar is, or is not, SLR(1).
51. The bottom-up parsing techniques given in this chapter are more pow-
erful than top-down techniques given in Chapter 5.
Using the alphabet
, devise a language that is not LL( k )forany k
but is LR( k )forsome k .WhatpropertyofLR( k ) parsing allows such a
grammar to be constructed?
{ a , b }
 
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