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.
a) CFG:-
S->AB
A->aAb/ab
B->bBc/bc
where S,A,B are non terminals and a,b are terminals and S is start symbol.
PDA:-
For the language anbn+mcm, where m, n 0.. a) Create a context-free grammar that generates this...
Construct a grammar that generates the following language, L = (anbn+mam | n, m = 0, 1, 2, ...). Construct a grammar that generates the following language, L = (a"bn-ma" n, m = O, 1, 2, ..)
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...
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...
Find a Context-free grammar G that generates the language L= 1n 0m | n ≥ 2m+1, m ≥ 0 U 1n 0m | 0≤n≤3m+2
formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A a) Describe L(G). (5p) b) Convert G into a Pushdown Automaton (PDA). (10p)
construct a context free grammar for the language l {a^nc^mb^n: n,m Greaterthanorequalto 0}
Q1: Given the below language and context free gramma:, a. Show that the grammar is ambiguous using the string ( abc) by using substitutions. b. Then design a push down automata that recognizes the language. C. Then show the tracing of (abc, abbccc) using the push down automata. d. Then Show which two simple languages create the greaterlanguage. Give set builder notation for each language. e. Then produce Chomsky normal form for the grammar. The following context-free language is inherently...
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)-
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that arc pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...