formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A...
(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)
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)-
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three types (), and . For example, (OOis in BAL but [) is not. Give a nondeterministic pushdown automata that recognizes the set of strings in BAL as defined in problem 1 above. Acceptance should be by accept state. 2. Give a context free grammar for the language L where L-(a"b'am I n>-o and there exists k>-o such that m-2*ktn) 3. Give a nondeterministic pushdown...
For the language anbn+mcm, where m, n 0.. a) Create a context-free grammar that generates this language b) Create a pushdown automata that accepts this language.
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Consider the language defined over the alphabet Σ (0, 1): [10] 2nin i. Show that L1 is context-free by specifying a CFG Gi for L1 ii. Convert the CFG Gi to a pushdown automaton Pv that accepts L1 by empty 12 stack iii. Give a pushdown automaton PF that accepts L by final state
true/false 21 Uncountable infinity (for example, the cardinality of the real numbers). No Countable infinity (for example, the cardinality of the integers) ? All strings over the alphabet ?. CFG Context-free Grammar CFL Context-free Language L(G) The language generated by a CFG G. L(M) The language accepted by the automaton M. PDA Pushdown Automaton/Automata ISI The cardinality of set S. For example, I01 -o, and if S is an infinite set, ISI could be No or J1 L <M> L(M)...
consider the language L = { a^m b^n : m>2n}, give context free grammar and Nondeteministc pUSH DOWN AUTOMATON
Homework. Section 5.1 #m}. Hint: Think of this language 1. Design a context-free grammar for the language {a" b n as the union of {a"b" | n > m} and {a") n<m}. 2. Consider the context-free grammar G = (N,T, P, S), defined by N = {S}, T = {a,b), and P = {S + Sbs | bSaS | }. Find derivations, and corresponding parse trees, for the following strings: aaabbb, bbbaaa, ababab. What is L(G)?