1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,+,(.) }. and productions E → I, E → E+ E, E → E + E, E → (E), I = a |b|c. ) Show that G is ambiguous by giving two different derivation trees for string b+c + a (11) Change the above grammar into the one without ambiguity.

1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,+,(.) }. and productions E → I, E → E+ E, E → E + E, E → (E), I = a |b|c. ) Show that G is ambiguous by giving two different derivation trees for string b+c + a (11) Change the above grammar into the one without ambiguity.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Let G be the grammar S OB|1A, A → 0|0s| 1AA, B 1|is|OBB. For the string 00110101, find (a) the…

A: The question is on finding the leftmost, right most derivation and the derivation tree for the given…

Q: Consider a CFG grammar G with production S→ aA, A → Blb, B→ aA. The string "a³b" € L(G). Select one:…

A: Here in this we have given multiple question and we have asked to comment weather these are true or…

Q: Q2. Consider the following Context Free Grammar (CFG) S - Aa | BAb A - BB | c B - Sd |e where {a, b,…

Q: 5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals…

A: Here, we are going to generate the string bacab using given grammar G and also check whether the…

Q: Consider the following grammar: X -> (Y) | b Y -> Y, X | X A: . List LR(0) items for this grammar…

A: in below we find the answer

Q: For the below left linear grammar, The starting non-terminal is A. Convert the below to its…

Q: Let G be a context free grammar where (G-((S, A, B, C),(a, b, d), P, S) with the productions in P…

A: The answer for the context free grammar is

Q: Consider the following grammar: X -> (Y) | b Y -> Y, X | X Q: a. List LR(0) items for this grammar…

A: Canonical Collection of LR(0) items An LR (0) item is a production G with dot at some position on…

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

A: 1) As start symbol S is present in RHS of S -> AABB|01 we need to create new production S0 ->…

Q: Consider the following Grammar E → E + E E → E - E E → id Check whether the given grammar is…

A: Summary: In this question, we have been following grammar and we have to check that if the grammar…

Q: Consider the grammar bexpr - bexpr or bterm | bterm bterm - bterm and bfactor | bfactor bfactor -…

A: Note- Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Consider the following context-free grammars (CFG). With the help of leftmost derivation decide…

Q: Q-1. Consider the given grammars and remove left recursion either direct or indirect. a) A - ABd |…

A: Step 1 The answer is given in the below step

Q: . For the following, prove context free by giving CFG or describe PDA. If not context free then…

A: Since the length of any string w ∈ B is odd, w must have a symbol exactly in themiddle position;…

Q: Consider the grammar G = ({S, X, Y, Z}, {a, b, c}, S, P), where: P = { S XYZ, XaX, XE, Y bY, Y E,…

A: Given grammar is: P={S-XYZ, X -> aX, X -> ε Y->bY, Y -> ε Z->cZ, Z->ε

Q: Let G be a context free grammar with one nonterminal and n rules. If G generates a finite mumber of…

A: Context free grammar is a formal grammar whose production rules are of the form. with a single…

Q: n.5 Let G = (V = {S,T},£ = {a,b}, P, S) be a context-free grammar, whose productions P are defined…

A: Context free grammar: It is a formal grammar which is used to generate all possible strings in a…

Q: cassign> cid> cexpr> - A BC cexpr> cid> + cexpr> | cid> cexpr> L(cexpr>

A: Given The answer is given below.

Q: Consider the following context-free grammar: G = (N, Σ, P, S) N = {S, T} Σ = {a, b, c} Productions…

A: T→ bT | b, this production will generate any number of b’s > 1S→ abScT | abcT, this production…

Q: Let G1 = (V1,T1, S1, P1) and G2 = (V2, T2, S2, P2) be context-free grammars. %3D Consider the…

Q: Given a CFG G = (V, T, S, P), where P is + ABAC, ВС, + b|A, D|A, d. please find V_N and the…

A: The answer given as below:

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: Show the set of first terminals, First(. . .), for each nonterminal in the following CFG: S → W Y |…

A: A terminal may also be used as the reusable interface on the conductor and can be used as a point…

Q: Write a program that uses the functions larger, compareThree and main to determine the larger of two…

A: To program : The larger of two numbers or the largest of three numbers using larger , compareThree…

Q: Theory :: 1. write a CFG for language L={ aibjck | k=i+j and i,j,k>0 } 2. write a CFG for…

Q: Given G, = {V,E, R, S} where V = {0,1, S, A} , E = {0,1} ,and R = {S → AS |e, A → A1 | OA1 | 01 }…

Q: Consider the following grammar: X -> (Y) | b Y -> Y, X | X 1. for the input string…

A: Given data is shown below: Consider the following grammar: X -> (Y) | b Y -> Y, X | X 1. for…

Q: Let G = (V, T, S, P ) be the phrase-structure grammar with V = {0, 1, A, S}, T = {0, 1}, and set of…

A: Here in this question we have given a grammer and firstly we have asked to show that given string…

Q: Qn.5 Let G = (V = {S,T},£ = {a,b}, P, S) be a context-free grammar, whose productions P are defined…

A: Given that, G=(v={S,T}, ∑={a,b}, P,S} is a context free grammar Productions of the grammar are:…

Q: Consider the grammar G = ({S, X, Y, Z}, {a, b, c}, S, P), where: P= { S XYZ, XaX, XE, Y bY, Y E, Z…

A: the answer is given below:-

Q: Consider the following grammar, with S as a start symbol: 1) S> A111 2) S> 000A 3) A-> emptystring…

Q: ive a grammar in CNF for the following CFG. S → (S,S) | X X → YX | Y Y → a | ∈

A: Given Grammar : S -> ( S , S ) | X X -> Y X | YY -> a | ∈

Q: Establish that L is context-free by building a CF grammar for L = {0n1m: n does not equal 4m and n,m…

A: A grammar contain a context free grammar then it must be a context free language. Context free…

Q: explain in depth and give answer Establish that L is context-free by building a CF grammar for L =…

A: The answer is

Q: Q5. Consider each of the following languages. L = {0'ʻl' | i, j > 2} L2 = {0ʻl' | i, j > 0 & i > 2j}…

A: For any regular language L, there exists an integer n, such that for all x ∈ L with |x| ≥ n, there…

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: Let G be the grammar S → OB|1A. A → 0|0S| 1AA, B → 1| IS| OBB. For the string 00110101, find (a) the…

A: Question :-

Q: What is meant by ambiguous CFG? Prove that the grammar E→E+E/E *E /a is ambiguous.

A: The Answer is

Q: consider the CFG with{S,A,By as the non terminal alphabet jaiby as the terminal alphabet , S as the…

A: In this question, we are given a CFG and we are asked the equivalent reduced grammar. To find out…

Q: Consider the grammar S - uSbs | bSas | € a) Show that this grammar is ambiguous by constructing two…

A: Given: A CFG(context-free) grammar Objective: We need to find the leftmost derivations, rightmost…

Q: string ((b),b,(b,b)),show the parsing stack and actions of the parsing SLR(1) parser. Is this…

A: Consider the following grammar: X -> (Y) | b Y -> Y, X | X for the input string…

Q: a. Given a grammar G =(V.T.E.P) over set of alphabets = (0....9, +. . (. ) with productions . E ->I…

A: Below is the complete solution with complete explanation in detail. The string can be derived with…

Q: Consider the grammar G symbols production P = (V, T, S, V={S, X, Y}, terminal symbols T {S → XY, X →…

A: The grammar G is a Context free grammar. Context free grammar is a collection of (V,T,P,S). Where V…

Q: Show a derivation tree for w = aaabbaaa using the grammar in Example 5.1. EXAMPLE 5.1 The grammar G…

A: Solution:Given that,w = aaabbaaa

Q: 1. Consider the CNF grammar G=(V,T,S,P) where V = {S, A, B, C, D }, T = { a, b, c }, S = S and P is…

Q: Given the grammar (2 = {a, b, c,+,-}) S →E →E +T|T →T*F|T/F|F → (E) | a | b | a E T F Write down a…

Q: Given a CFG G = (V, T, S, P), where P is + ABAC, BC, b|A, + D|A, d. please find V_N and the…

A: A production that allows a non-terminal to generate the empty string.

A: Step 1 The answer is given in the below step by step;

Q: Let G = (V, T, S, P ) be a phrase-structure grammar with V = { 0, 1, A, S }, T = { 0, 1 } and the…

A: From the above given value G=(V,T,S,P) with V = { 0, 1, A, S }, T = { 0, 1 } and the set of…

Concept explainers

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.

Question

1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,+,(,) }. and productions
E→I,
E→ E+ E,
E → E+ E,
E → (E),
I = a|b|c.
) Show that G is ambiguous by giving two different derivation trees for string b+c +a
(ii) Change the above grammar into the one without ambiguity.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

1)Let G = (V, ∑, R, S) be a grammar with V = {S, H, Gm J}; ∑ = {h, g, j}; and the set of rules: S → H H → h | hJG G → Gg | Sg | HgJ J → jH | HHJ| Jj a)Convert this grammar to a PDA using the method we described. b)Convert G to Chomsky normal form.
Question 2 Given G1 = {V,E, R, S} where V = {0,1, S, A} , E = {0,1}, and R = {S → AS Je, A → A1 | OA1 | 01} a. Show that G, is ambiguous. b. Give an unambiguous grammar for L(G1). (i.e. disambiguate the given grammar.) с. Give the leftmost derivation of the string 00111 from the grammar you have constructed at part-b and draw the corresponding parse tree.
1. Consider the following context-free grammar with start symbol S, nonterminals {S, A, B, C}, and terminals {0,1}: SAO A→B A → C1 B→ 1 B→ E C→ 0 (a) Compute all the sets FIRST and FOLLOW necessary to implement a recursive decent parser for this grammar. However, do not list any unnecessary such a set. (b) Investigate all the combinations of sets FIRST and FOLLOW that are involved in the im- plementation of a recursive descent parser for this grammar. Explain how these com- bination make the grammar suitable or unsuitable (as the case might be) for recursive descent parsing.
Consider the following context-free grammars (CFG). With the help of leftmost derivation decide whether the grammars are ambiguous or not. a) E-E+E|A |F S- OE44 | OA A - SA7| 2S3 | 0S4 |8 F-E|5|(5) String: 2003+00444 b) B 11BS | OSOB | E S→ AC01 | OS | is |Al A→1|B|CA |€ C→ x| y |A String: 011010 String: 112113 c) B - 1B3| iS3 | ɛ S- 2BA | 1S | 2A A Al1 |12AS3 | B | ɛ
Question: consider the grammar G = (V, T, E, P), where V = {E, I} and T = {a, b, c, +, -, x, ÷, (} with productions E ->I | E+E | E-E | EXE |E÷E| (E), I-> a | b |c. Show G is ambiguous %3D (i) (ii) Rewrite G to an equivalent unambiguous grammar.
1. Consider the regular grammar G given below: S → aS|aA[bB[A A → aA|bS B → bB|aS (a) Give a derivation for the strings aabbba and baaba (b) Give an infinite language L such that L is not a subset of L(G) (c) Give a regular expression that describes the language L(G).
1. Prove that the language L(G) is not regular where G is the following context-free grammar: G = ({S,A,B,C}, {a,b}, {S->bB|C, A>b|C, B->Sb, C->aAa }, S). Note: You must first determine L(G).
Describe L(G) for the grammar G = (V, VT, S, P) where V = {0, 1, A, S}, VT = {0, 1}, and P consists of: (L(G) is a possibly infinite set of words. You can describe it by listing its elements, or explaining which elements are in the set L(G)) S → 0 S → ASA A → 1
(3) Give a grammar G= (V,E, S,P), where V = {4,B,C},E ={a,b},S = A¸ P: A→ a4|bB,B → bC| aB,C → aB | aC | 2. (a) Is Ga regular grammar? Why? (b) Find an nfa which accepts the language L(G). (c) Find the regular expression r associated with the language accepted by the above ufa. (d) Find regular language L(7) from the above r.
What can be claimed about the grammar G: {S→ alaRb, R→ b|bSa }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is actually a regular language. O C. G is a regular grammar and L(G) is a regular language. What can be said about the grammar G: {S → ORO|OR1|1RO|1R1, R → E|OR|1R }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is the regular language (0+1)²(0+1)* C. G is a regular grammar and L(G) is the regular language (0+1)(0+1)*
Grammar and its application to FractalsLet G=(N,T,P,∑) where ∑ is the start symbol, N = {D}, T = {d, r, l}, andP = {∑→D, D→DrDllDrD, D → d} 1. Give the most specific type of grammar G.2. Show the leftmost derivation sequence of the string drdlldrd, (i.e. When deriving a new sentential form, always replace one Nonterminal at a time and always replace the leftmost Nonterminal)3. Suppose d is an abstraction of a command to draw a straight line of fixed length in the current direction, r is an abstraction of a command to turn right by 60 degrees, and l is an abstraction of a command to turn left by 60 degrees. Assuming that you are to start from a point and that the starting direction is to proceed horizontally to the right, show the figure represented by the generated string drdlldrd.4. The string drdlldrdrdrdlldrdlldrdlldrdrdrdlldrd can also be generated. Assuming that you are to start from a point and that the starting direction is to proceed horizontally to the right, show the figure…
Consider the grammar G = ({S, A}, S, {a, b}, P) with the following set of production rules P: S → aS|baA|abaAA → aAbb|aAb|ε 1. Determine what the language generated by G is. You may only use set builder notation and/or language operators in your answer. A proof is not required. 2. Show that the grammar G is ambiguous by: (a) Providing two distinct leftmost derivations for the same string w ∈ L(G).(b) Providing two distinct parse trees for the same string w ∈ L(G).