Hello , I need help in Theoretical computer science Let L be the language that contains all non-empty strings above the alphabet Σ = {0, 1}, which form a palindrome of even length. Subtask (a) Give a context-free grammar in Chomsky normal form that describes the language L. Subtask (b) (i) Give a syntax tree for the word w = 0110. (ii) Illustrate by way of example how one can modify the syntax tree from (i) in such a way that one obtains syntax trees for other words of the given language. Note: Modifying means here - in analogy to the proof of the weak pumping lemma - to replace a subtree of a syntax tree with another subtree. Subtask (c) Give as small a number as possible that can play the role of the pumping lemma number for the language L. Give reasons why the number you choose does what you want.

Q: Give a context-free grammar that generates the following language: k≥ 2, each x; € {a,b], and for…

A: Context-free grammar is used in compiler design to test the possible string patterns within a given…

Q: 1. Consider the regular grammar G given below: S → aS\aA[bB|X A → aA|bS B → bB|aS (a) Give a…

A: (b) Given : An infinte Language L is not a subset of L(G)   L = {wwR: w ∈/{a, b}*}. L is the set of…

Q: Q.4: Consider the following grammar G, over alphabet {a,b,c}: S→ aAB b | AE D → AAB E CA A → aAbE&…

A: Given grammar is, S→aABb | AEA→aAbE | εB→abBC→ABC | cD→AABE→CAF→FA | a Set of variables in the…

Q: 1)Let G = (V, ∑, R, S) be a grammar with V = {S, H, Gm J}; ∑ = {h, g, j};     and the set of rules:…

A: Actually, given rules are:    S → H   H → h | hJG   G → Gg | Sg | HgJ   J → jH | HHJ| Jj

Q: 2. Given the context-free grammar G below: S → aSb|bSa[SS|A (a) Draw a derivation tree for the…

A: a) DERIVATION TREE: For the string aabbbabbaa

Q: Consider the details given below. What is the result if Arden's Rule is applied to equation 1? *…

A: Lets talk about  Ardens Rule  Let P and Q be two regular expressions over ∑  If P does not contain a…

Q: Question 3. Consider the language L = {w€ {0, 1}* | the strings 01 and 10 occur the same number of…

A: Given language is, L={w ∈{0,1}* | the strings 01 and 10 occur same number of times in w} Pumping…

Q: 2. Let the Following Grammar be S-> S+S| DRT | (S)| A A-> B| al c| MG| e F-> A| TYU|G B-> d| r| e…

A: Given grammar is: S→S+S|DRT|(S)|AA→B|a|c|MG|εF→A|TYU|GB→d|r|εQ→RTY|GHT a. Given string is w=d+(a+r)…

Q: 1. Give a context free grammar for the following language over the alphabet Σ = {0, 1} and…

A:

Q: 1. Give a context free grammar for the following language over the alphabet Σ = {0, 1} and…

A: The context free grammar is the forma grammar which is used to generate all the possible patterns of…

Q: Let G = ( V, T, S, P ) be the grammar with V = { a, b, c, S }, T = { a, b, c } and the set P of…

A: a. Derivation tree for bcbba Given: Let G be the grammar with V = {a, b, c, S}, T = {a, b, c} are…

Q: Give a context-free grammar for each of the following languages. a. L={a"b"c* In, m, k >0 and n =…

A: Given:

Q: Let G = (V, E, R, S) be a grammar with V = {S, H, Gm J}; E = {h, g, j}; and the set of rules: %3D…

A: Overview : Automata Theory is a branch of computer science that deals with designing abstract…

Q: Given G be the grammar with V = {a, b, c, S}; T = {a, b, c}; start symbol S and productions P…

A: Given , A grammar G  We have asked to generate a given string and then , derivation tree for it.…

Q: 3. Gven the following regular grammar: 5+a5 | al | bK 1→ b| al, J-bK al. K-ak bK |A one can use the…

A: Given grammar is  S ->  aS | aI | bK I  ->  bJ | aI J ->  bK | aJ K ->  aK | bK | ∆…

Q: For each of these languages, give both a context-free grammar and a push down automaton. Briefly…

A: Context-free Grammar In formal language hypothesis, CFG is a proper sentence structure in which each…

Q: Let Σ={0,1,a}. The language L that we are interested in is all and only the strings that do NOT…

A:

Q: Consider the CFG, G, defined as: (S being the start symbol) S- AB A - aA|a B - bB|b a) Apply the…

A: S ->aAs ->aSbAs A ->SbA a A S ->aabAS S ->a a ->aabbaS A->ba S b A ->aabbaa…

Q: subject ; thoery of computer sceince  Consider the following context free grammar (CFG), G1 : S →…

A: Answer is given below-

Q: Question 1 This question is about finite-state automata (FSAS), and context-free grammars (CFGS).…

A: Below is the answer to E part. I hope this will be helpful for you....

Q: (3) Give a grammar G= (V,E, S̟P), where V = {4,B,C},E = {a,b},S = A, P: A→ a4|bB,B → bC | aB,C → aB…

A: According to the value given in the question, we will solve all parts.

Q: (4) Give a grammar G = (V,T,S,P), where V = {A, B, C},T = {a, b}, S = A, P:A → baA|aB, B → baB|aC, C…

A: ANSWER:-

Q: Construct a regular grammar for the following language on E = {a,b}. L = {a"bm : n 2 3, m > 2}

A: A regular grammar is a four-component mathematical object G = (N,∑, P, S), where. P is a collection…

Q: Exercisel: Let G be the grammar (V, T, S, P) where V-{a, b, A, B, S}, T-(a,b}, S the start symbol…

A: I'm providing both answers. I hope this will meet your requirements.

Q: (3) Give a grammar G= (V,E, S̟P), where V = {4,B,C},E = {a,b},S = A, P: A→ a4|bB,B → bC | aB.C → aB…

A: In this question, we are given a grammar and we have to check whether this grammar is regular…

Q: 2. Give a context-free grammar that generates the following language: |k≥ 2, each x; € {a, b}*, and…

A: This is the grammar for cfg:

Q: Give a context-free grammar to generate each of the following languages. (a) {0 110 | mn, and m,n >…

A: Note: Context free grammar has following type of productions: A->(T+N)* where A is non terminal T…

Q: 5. (cnos: Applications of outomata) Given the following context-free grammar. s - (S) I S+s -S I S*S…

A: I'm providing the answer of the above question. I hope this will help.

Q: → → * | →x|y| z

A: Given that        <S> -> <A>       <A> -> <A>*<A>|<id>…

Q: Show that following grammars are ambiguous (or not ambiguous) a. S → aSS S → b

A: A grammar is said to be ambiguous if there exists more than one leftmost derivation or more than one…

Q: ] Let L be the language Problem 3 over the alphabet E= {a,b, c, g} that contains ex- actly those…

A: Given Language is, L=gmcnbm+n+2a3k+1 This language is Context free language. Because it can be…

Q: S = NB und S → 1 B = SN N = 0

A: i have given an detail answer in step 2.

Q: Consider the following CFG with starting variable S and Σ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 0}: S → M U…

A: In this question, we are given a CFG and we have to provide derivation tree for the given string.…

Q: Give a context free grammar for the following language over the alphabet E = {0, 1} and informally…

A: Given the alphabet symbols as  ∑={0, 1} and also given the grammar is  A={ω ∈ ∑* | ω = ωR} where ωR…

Q: 1. Consider the Context Free Grammar given by the usual rules, 0 and 1 are the only terminals, and…

A: Please upload a clear image of question...

Q: 1. Give a context-free grammars that generate the following languages: (a) {w | w contains at least…

A: We are going to give context-free grammar for given languages. I have solved both the parts and have…

Q: 2. Give a context-free grammar that generates the following language: k > 2, each x; E {a, b}*, and…

A: S -> A | A#C | BB -> aB | bB | #B | #ACA -> aAa | bAb | #C -> aC | bC | #B | epsilon

Q: 11. Consider the following grammar [15pts] 1. prog → A 2. prog expr ';' 3. expr → ID expr '-' expr…

A: I have answered this question in step 2.

Q: Grammar and its application to Fractals Let G=(N,T,P,∑) where ∑ is the start symbol, N = {D}, T =…

A: According to our guidelines we solve first three:…

Q: 3. Consider the following grammar: a b b | b a | a Which of the following sentences are in…

A:

Q: This question is about context-free grammars and parsing, and Turing machines (TM’s) i) Consider…

A: Rules to Draw parse tree for a string using given grammar: i) all leaf's in parse tree must be…

Q: (5) Consider the grammar G=(V,T,E,P) with V={E,I}, T={a, b, c, +,·, *. (, )}, and productions R → R+…

A: The solution for the above given question is given below:

Q: Provide a (CFG) context-free grammar that generates the following language of all strings over…

A: In this question, we have to find out the CFG for the given language.

Q: (a) Consider the following context free grammars (CFG): i. B> dBb | bBd | dCb C>aC|E ii. E>FG F>…

A: Left factoring of above grammer is given below

Q: Question 1. Using left-factoring and/or elimination of left-recursion, give grammars equivalent to…

A: Left of the recursion removal process: Transforming the dialect to a right recurrent lexicon…

Q: L = {a"b": n >0 An mod 3 0} L2 = {a"b" : n 20 Am20 An=m-1} %3D To do in this exercise ... • Find a…

A: Context Free Grammar: A grammar contain a context free grammar then it must be a context free…

Q: 1. Construct the Non-deterministic finite automata that will accept the string of (dclac) *dc…

A: 1) Given Regular expression is, (dc | ac)*dc(aa | bb)* dc Set of alphabets= {a, b, c, d}

Q: 2. Prove that the following grammar is ambiguous: | ab C

A: Given Grammar: S→AA→A+A | idid→a | b | c     Concept Used: If a grammar produces more than one…

Q: (a) Exhibit a derivation of the string aaaa using the following phrase structured grammar: S → YZY Z…

A: S -> YZY   S -> YZY   S -> YBZCY    as   Z -> BZC  S -> YBBZCCY   as Z -> BZC  S…

Q: Consider the following grammar for representing simple calculations in Polish notation, given by G =…

A: If there exists a string that obeys the grammar for which there exists more than one parse trees…

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.