Consider the following context-free grammar: E + E +T|T T + TxFF F + (E) |...
Consider the context-free grammar with the rules (E is start variable) E → E + T | T T → T × F | F F → ( E ) | a Convert CFG to an equivalent PDA using the procedure given in Theorem 2.20.
Consider the following context free grammar. Write an attribute grammar that specifies the calculation rules, i.e. how the value of E or T is calculated. There is no need to perform type checking. We assume all types are matched correctly. Please clearly specify the type of attribute(s) you introduce, i.e. synthesized, inherited, or intrinsic. E ::= E + T | T T ::= T * F | F F ::= NUM NUM ::= 1 | 2 | 3 | 4...
6. (5 points) Consider the context free grammar G = (V, E, R, S) where V is {S, A, B, a, b,c}, & is {a,b,c}, and R consists of the following rules: S + BcA S B +a → A S + b A+S Is this grammar ambiguous? swer. Justify your an-
4. Consider the following context-free grammar S SSSS a (a) Show how the string aa+a* can be generated by this grammar (b) What language does this grammar generate? Explain
(15p) Consider the Context-free grammar G defined by:\(\mathrm{S} \rightarrow a S|b T b S| \varepsilon\)\(\mathrm{T} \rightarrow a T \mid \varepsilon\)a) Describe \(\mathrm{L}(\mathrm{G})\). (5p)b) Convert G into a Pushdown Automaton (PDA). (10p)
Write a context-free grammar that generates the same language as regular expression which is ab*|c+ (Describe the four components of context-free grammar which are start symbol(S), non-terminals(NT), terminals(T), and set of production rules(P))
Consider the context-free grammar G = (V, T, S, P) where V = {S}, T = {0, 1, 2, +, *} and with productions S -> S + S | S * S | 0 | 1 | 2 a) Show that the grammar is ambiguous b) Give an equivalent unambiguous grammar.
Design a CFG (Context Free Grammar) for each of the following languages: L4 = {w | w does not have exactly as many a's as b's}.
Consider the grammar G = (V,Σ,R,E) with V = {E,T,F} and Σ = {a,+,∗,(,)}, having the rules E → E+T | T T → T∗F | F F → (E) | a Give leftmost derivations for each of the following: (a) a∗a+a∗a (b) a∗(a+a)∗a
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.