AUTOMATA Given the language L, L = {w | w ∈ {a, b}* and w starts...
AUTOMATA
Given the language L, L = {w | w ∈ {a, b}* and w starts and ends
with the same symbol}
(a) Define the context free grammar G that generates the formal
language L.
(b) Define the deterministic pushdown automaton A that recognize the formal language L.
Homework Answers
formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A...
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)
What is the relation of context-free grammars and a Deterministic Pushdown Automata? Can a Deterministic Pushdown...
What is the relation of context-free grammars and a Deterministic Pushdown Automata? Can a Deterministic Pushdown Automata recognize a regular language?
In this assignment, you wil implement a deterministic finite automata (DFA) using C++ programming...
In this assignment, you wil implement a deterministic finite automata (DFA) using C++ programming language to extract matching patterns from a given input DNA sequence string. 1. Design a deterministic finite automata to recognize the regular expression A(A+T+G+C)*A + T(A+T+G+C)*T over the alphaber (A,T,G,C). This regular expression recognize any string that starts and ends with 'A' or starts and ends with 'T. or starts and ends with T
In this assignment, you wil implement a deterministic finite automata (DFA) using...
Show that L = {anbm : m ≥ n +3} is deterministic. This is for formal languages and automata... Ca...
Show that L = {anbm : m ≥ n +3} is
deterministic.
This is for formal languages and automata...
Can you please try to explain what you are doing and why (if
necessary, if not ill try my best to figure it out.)
The definitions i'm working based off of are posted as a image
below.
Thanks!
DEFINITION 7.3 A pushdown automaton M-О. Е, Г, 0, qo, z, Fİs said to be deterministic ifit is an automaton as defined in...
Automata: solve a - e 2. (10+10+10+10+10-50 points) Agrammar is a 4-tuple G, G-ON,E,11,L$) where N is a finite set of nonterminal symbols Σ is a finite set of terminal symbols is a finite set of...
Automata: solve a - e
2. (10+10+10+10+10-50 points) Agrammar is a 4-tuple G, G-ON,E,11,L$) where N is a finite set of nonterminal symbols Σ is a finite set of terminal symbols is a finite set of rules S is the starting symbol Let N- (S, T s-{a, b, c} s-> ab aT >aaTb aT-ac S is the starting symbol. (a 10 points) Prove that the given grammar G is a context sensitive grammar. (b-10 points) What is the language L-...
Give a context free grammar for the language L where L = {a"bam I n>:O and...
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...
For the language anbn+mcm, where m, n 0.. a) Create a context-free grammar that generates this...
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.
true/false 21 Uncountable infinity (for example, the cardinality of the real numbers). No Countable infinity (for...
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)...
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous...
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. If L is the complement of a language recognized by a non-deterministic finite automaton, then...
1. If L is the complement of a language recognized by a non-deterministic finite automaton, then L is _______ a) finite b) regular but not necessarily finite c) deterministic context-free but not necessarily regular d) context-free but not necessarily deterministic context-free e) recursive (that is, decidable) but not necessarily context-free f) recursively enumerable (that is, partially decidable) but not necessarily recursive g) not recursively enumerable
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)
In this assignment, you wil implement a deterministic finite automata (DFA) using C++ programming language to extract matching patterns from a given input DNA sequence string. 1. Design a deterministic finite automata to recognize the regular expression A(A+T+G+C)*A + T(A+T+G+C)*T over the alphaber (A,T,G,C). This regular expression recognize any string that starts and ends with 'A' or starts and ends with 'T. or starts and ends with T
In this assignment, you wil implement a deterministic finite automata (DFA) using...
Show that L = {anbm : m ≥ n +3} is
deterministic.
This is for formal languages and automata...
Can you please try to explain what you are doing and why (if
necessary, if not ill try my best to figure it out.)
The definitions i'm working based off of are posted as a image
below.
Thanks!
DEFINITION 7.3 A pushdown automaton M-О. Е, Г, 0, qo, z, Fİs said to be deterministic ifit is an automaton as defined in...
Automata: solve a - e
2. (10+10+10+10+10-50 points) Agrammar is a 4-tuple G, G-ON,E,11,L$) where N is a finite set of nonterminal symbols Σ is a finite set of terminal symbols is a finite set of rules S is the starting symbol Let N- (S, T s-{a, b, c} s-> ab aT >aaTb aT-ac S is the starting symbol. (a 10 points) Prove that the given grammar G is a context sensitive grammar. (b-10 points) What is the language L-...
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...
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.
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)...
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)-
Most questions answered within 3 hours.
-
Select a target behavior from your list of potential target
behaviors. State your target behavior in...
asked 4 minutes ago -
Guns make a unique marking on the bullets they fire and their
shell casings. These markings...
asked 7 minutes ago -
Bourque Enterprises is considering a new project. The project
will generate sales of $1.5 million, $2.2...
asked 18 minutes ago -
data structures c++
please implement the QuickSort algorithm as a C++ function. Use
it to sort...
asked 18 minutes ago -
A young investment manager tells his client that the probability
of making a positive return with...
asked 21 minutes ago -
Calculate the final discrete available-to-promise quantity for
Week 1 using the following table.
Weeks
1
2...
asked 53 minutes ago -
Bob is gambling in the casino. The probability that he will win
nothing is 0.2. The...
asked 2 hours ago -
A free electron and a free proton are exactly 0.70 cm apart.
A)
Find the magnitude...
asked 2 hours ago -
Identify and Describe the major sources of U.S law. Provide a
sport-related example of each.
asked 2 hours ago -
NASA's Ames Research Center in Mountain View, California, houses
a 20g centrifuge used to conduct research...
asked 3 hours ago -
I want a python code using recursion ONLY.
I cannot use any loops, dictionaries or modules....
asked 3 hours ago -
Tobin Supplies Company expects sales next year to be $450,000.
Inventory and accounts receivable will increase...
asked 4 hours ago