![(10 points) Let the terminal symbols T = {), [], E}. Give a CFG for the following language PAREN defined inductively as: i. E](http://img.homeworklib.com/questions/d10171f0-abed-11eb-bdd8-0ba1c4cbea52.png?x-oss-process=image/resize,w_560)
Homework Answers
I have uploaded the images of the grammar for the above language.
I have added a small introduction to Context Free Grammar and I also Added some note points which helps you to clarify your doubts.
I have constructed the grammar and drived some example strings you given in the Question from the grammar and add some more strings that belong to the language which help you to verify whether the grammar is correct or not.
![the grammer : 115-SE SIS IS - E String derivation from sys[s]S Sy [s S [5csis ] and 5> $ss J S [115 ] s [lisisis] S [ou] 11 s](http://img.homeworklib.com/questions/81e0f4e0-abee-11eb-b20f-fb2d6c50275a.png?x-oss-process=image/resize,w_560)
If you Have Any doubts Please ask using comments.
Have A Great Day!
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(10 points) Let the terminal symbols T = {), [], E}. Give a CFG for the...
Automata: solve a - e 2. (10+10+10+10+10-50 points) Agrammar is a 4-tuple G, G-ON,E,11,L$) 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 CFG that generates the language L(a*b*c*) \ { anbncn | n is a non-negative integer }. This...
Give a CFG that generates the language L(a*b*c*) \ {
anbncn | n is a non-negative
integer }. This question is quite challenging; you will first need
to devise a good strategy for how the CFG should work and then
create the CFG to implement the strategy. You might want to do the
other questions first.
I'm so stuck on this question, can someone pls help me?
The following questions ask you to write CFGs. An example illustrates the encoding...
C2.3 Let X and Y be random variables with finite variance, so that EX2o0 (i) Show...
C2.3 Let X and Y be random variables with finite variance, so that EX2o0 (i) Show that E(X) - (EX) E(X - EX)2, and hence that the variance of (ii) By considering (|XI Y)2, or otherwise, show that XY has finite expecta- (iii) Let q(t) = E(X + tY)2. Show that q(t)2 0, and by considering the roots of and EY2 < oo. X is always non-negative. tion the equation q(t) 0, deduce that
Please give me that correct code for this by using C++ language. and i hope you...
Please give me that correct code for this by using C++ language. and i hope you use Visual stduio Write a function that takes a string parameter and determines whether the string contains matching grouping symbols. Grouping symbols are parenthesis ( ) , brackets [] and curly braces { }. For example, the string {a(b+ac)d[xy]g} and kab*cd contain matching grouping symbols. However, the strings ac)cd(e(k, xy{za(dx)k, and {a(b+ac}d) do not contain matching grouping symbols. (Note: open and closed grouping symbols have to match...
2. (24 pts) True/False. Circle T or F. No explanation needed. (a) T F If Ris...
2. (24 pts) True/False. Circle T or F. No explanation needed. (a) T F If Ris the relation whose digraph is below, then Ris reflexive. (b) T F For the relation from part (a), R is symmetric (C) T F The relation Son {a,B,y,g} whose matrix is 100.1 - 0 1 0 0 0 0 1 0 1001 is an equivalence relation. (d) T F The relation S from part (C) is a partial order. (e) T F Let the...
4.[10 points] Let A be the language over the alphabet E-(a, b} defined by regular expression...
4.[10 points] Let A be the language over the alphabet E-(a, b} defined by regular expression (ab U b)*a U b. Give an NFA that recognizes A. Draw an NFA for A here.
4.[10 points] Let A be the language over the alphabet E-(a, b} defined by regular expression (ab U b)*a U b. Give an NFA that recognizes A. Draw an NFA for A here.
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt a...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive d...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
DO NUMBER 4 AND 5 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta,...
DO NUMBER 4 AND 5
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
DO NUMBER 3 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, g...
DO NUMBER 3
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
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 CFG that generates the language L(a*b*c*) \ {
anbncn | n is a non-negative
integer }. This question is quite challenging; you will first need
to devise a good strategy for how the CFG should work and then
create the CFG to implement the strategy. You might want to do the
other questions first.
I'm so stuck on this question, can someone pls help me?
The following questions ask you to write CFGs. An example illustrates the encoding...
C2.3 Let X and Y be random variables with finite variance, so that EX2o0 (i) Show that E(X) - (EX) E(X - EX)2, and hence that the variance of (ii) By considering (|XI Y)2, or otherwise, show that XY has finite expecta- (iii) Let q(t) = E(X + tY)2. Show that q(t)2 0, and by considering the roots of and EY2 < oo. X is always non-negative. tion the equation q(t) 0, deduce that
2. (24 pts) True/False. Circle T or F. No explanation needed. (a) T F If Ris the relation whose digraph is below, then Ris reflexive. (b) T F For the relation from part (a), R is symmetric (C) T F The relation Son {a,B,y,g} whose matrix is 100.1 - 0 1 0 0 0 0 1 0 1001 is an equivalence relation. (d) T F The relation S from part (C) is a partial order. (e) T F Let the...
4.[10 points] Let A be the language over the alphabet E-(a, b} defined by regular expression (ab U b)*a U b. Give an NFA that recognizes A. Draw an NFA for A here.
4.[10 points] Let A be the language over the alphabet E-(a, b} defined by regular expression (ab U b)*a U b. Give an NFA that recognizes A. Draw an NFA for A here.
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
DO NUMBER 4 AND 5
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
DO NUMBER 3
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
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