Use a general algorithm to construct a (non-deterministic) pushdown automaton that corresponds to the following context-free grammar with the starting variable S: S → Aab, A → Sba; S → ε. Show, step by step, how the word baab will be accepted by this automaton. Its derivation in the given grammar is straightforward: S → Aab → Sbaab → baab.
Use a general algorithm to construct a (non-deterministic) pushdown automaton that corresponds to the following context-free...
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous (b) Find an equivalent unambiguous context-free grammar. (c) Give the unique leftmost derivation and derivation tree for the string s generated from the unambiguous grammar above. 2. Construct non-deterministic pushdown automata to accept the following language (20) 3. Convert the following CFG into an cquivalent CFG in Chomsky Normal Form (CNF) (20)-
2. Consider the following context free grammar with terminals (), +, id, num, and starting symbol S. S (ST) F-id Fnum a. Compute the first and follow set of all non-terminals (use recursion or iteration, show all the steps) Show step-by-step (the parsing tree) how the following program is parsed: (num+num+id)) b.
For each of the following, construct context-free grammars that generate the given set of strings. If your grammar has more than one variable, we will ask you to write a sentence describing what sets of strings you expect each variable in your grammar to generate. For example, if your grammar were: S → EO E → EE CC 0+ EC C+01 We would expect you to say “E generates (non-empty) even length binary strings; O generates odd length binary strings;...
Construct context-free grammars that generate the given set of strings. If the grammar has more than one variable, we will ask to write a sentence describing what sets of strings expect each variable in the grammar to generate. For example, if the grammar was: I could say "C generates binary strings of length one, E generates (non-empty) even length binary strings, and O generates odd length binary strings." It is also fine to use a regular expression, rather than English,...