February 2022
Beginner to intermediate
572 pages
13h
English
Content preview from An Introduction to Formal Languages and Automata, 7th Edition
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5.2 PARSING AND AMBIGUITY
We have so far concentrated on the generative aspects of grammars. Given a grammar G, we studied the set of strings that can be derived using G. In cases of practical applications, we are also concerned with the analytical side of the grammar: Given a string w of terminals, we want to know whether or not w is in L(G). If so, we may want to find a derivation of w. An algorithm that can tell us whether w is in L(G) is a membership algorithm. The term parsing describes finding a sequence of productions by which a w ∈ L(G) is derived.
Parsing and Membership
Given a string w in L(G), we can parse it in a rather obvious fashion: We systematically construct all possible (say, leftmost) derivations and see whether any of them ...
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