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Basic results from automata theory tell us that the language L = an bn cn = epsi , abc, aabbcc, aaabbbccc, . . .

Basic results from automata theory tell us that the language L = an bn cn =\epsi , abc, aabbcc, aaabbbccc, ... is not context free. It can be captured, however, using an attribute grammar. Give an underlying CFG and a set of attribute rules that associates a Boolean attribute ok with the root R of each
4.8 Exercises 209
210 Chapter4 SemanticAnalysis
cdr
..
quote
..
.
.
c\epsi
Natural syntax tree for the Lisp expression (cdr (a b c)).
a
b
Figure 4.16
\epsi
\epsi
parse tree, such that R.ok = true if and only if the string corresponding to the fringe of the tree is in L.

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