For a Turing machine M, (M) refers to the binary representation of M.For a Turing machine M, L(M) contains the set of all strings accepted by M.For a Turing machine M and an input x € {0,1}*, Steps(M, x) refers to the number of steps takenby M to execute on x before it halts. Here, one step of execution of M on x = one movement (left orright) of the tape head.For a Turing machine M and an input x = {0,1}*, we define the following:ReachCells(M,x) = {i : M reaches ith tape cell when M is executed on x}Informally, it contains all locations on the tape that are visited when M is ecuted on x. Theleftmost location on the tape is the first tape cell, the location next to it is the second tape cell, and soon.A string w₁ is an anagram of w2 if w₁ can be obtained by rearranging the alphabets of w2. Formally, ifw₁ is an n length string, wê is called an anagram of w₁ if there exists a permutation à on n elementssuch that π(w₁) = W2. Let L be defined as the following language over {0, 1,2,3}*:L = {0m1n-12n+13m: n ≥ 1, ≥ 0}.Describe a PDA that recognizes L.

A Turing machine which consists of a finite state control unit and that the tape which it is divided…

Answered: Let L be defined as the following…

Let L be defined as the following language over {0, 1,2,3}*: L = {0m 1"-12n+13m : n ≥ 1, ≥0}. Describe a PDA that recognizes L.

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: Consider the following language: Lo = {w₁ #w₂ € {0, 1}* ||w1|0 = 2 * |w₂|1} i. Define a PDA for Lo.…

A: Push Down Automata: It is exist for the context free language. It is purely depend on the stack…

Q: Construct a PDA that recognizes the language: L = {aibj | i ≤ j}

Q: Prove that the following language is decidable by giving an implementation level TM. L3 = {anbnanbn…

A: A Turing machine is a computational model like Finite Automata, Pushdown automata, which works on…

Q: Which of the following is an advantage a stateful firewall has over a regular packet-filtering…

A: What is a Firewall? A firewall is a piece of hardware or software that may be set up to prevent…

Q: Prove or disprove that the language generated by the expression (OUE) 1*0+ is regular. Let 4= {a^…

Q: 4. Consider the following languages. • ANFAFIN = {(N) |N is an NFA and L(N) is finite} • EREX = {(R)…

A: Answer:- No,All strings of the form 10n are contained in L(N) (in addition to other strings as…

Q: Construct a DPDA that accepts the language L = {0"1m+nOm: %3D m,n>=0}.

A: Please find below your answer in second step:-

Q: Please give me the proper answer with step by steo solution Qns: Consider the CFL: L = {w | w is a…

A: Introduction: In computer science, a pushdown automaton (PDA) is a type of automaton that reads an…

Q: Given the following CFG a) Convert the CFG to an equivalent CFG in GNF. b) Construct an NPDA that…

A: In formal language concept, a context-free language (CFL) which refers to the one it is a language…

Q: a CFG for the language L = {a n^b ^m | m ≥ n, m − n is even}.

A: a CFG for the language L = {a^ nb ^m | m ≥ n, m − n is even}.

Q: Convert this PDA to CFG The language is L = {anbm : m >= n, where m-n is even}

A: Language L = {anbm | m ≥ n, m − n is even}.m-n can be even only when(case-1) Both m and n are even…

Q: 3. Consider the following languages over {0, 1}: L3= {w:w contain exactly two l’s and |w| < 4} L4=…

A: 3) Answer :

Q: A and give CFG for the language L = {anbm : n,m ≥ 0, n ≤ m

A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

Q: Not handwritten convert the following EBNF to BNF S --> A[bA] A --> a{bc} B --> a{bB}|a

A: We need to convert the given grammar from EBNF to BNF. EBNF (Extended Backus-Naur Form) which is an…

Q: push down automata for L= {axbycm such that y - m = x}

A: The states in the PDA are : Start State: A Final State: B, C,D,E Intermediate State: F

Q: Let L be defined as the following language over {0,1,2}*: L = {w₁2w2 : W₁, W2₂ € {0, 1}*, w₁ is an…

A: Context free language is a language that is generated by a context free grammar and this language…

Q: Explain by proof of contradiction using the Pumping Lemma that the language L ={a^²nb^na^n| n > 0}…

A: Given: language L ={a^²nb^na^n| n > 0} We have to proof by contradiction using the Pumping Lemma…

Q: Construct a PDA that accepts the language={w^p y^p z^k/p,k>=1 where ∑={w,y,z}

A: Required: Construct a PDA that accepts the language={w^p y^p z^k/p,k>=1 where ∑={w,y,z}…

Q: Given the language L(r) defined over the alphabet Σ = {a,b}, where r = (0011)*, define a PDA that…

A: Given : Given the language L(r) defined over the alphabet Σ = {a,b}, where r = (0011)*

Q: Create a complex CFG that produces L. s L = {0¹ 14 | i≥ 0}. Prove the ambiguity and construct a PDA…

A: Below i have given handwritten solution of the problem. see below steps.

Q: Construct a PDA recognizing C= { a™b° | m 2 0; 2m 2 n 2 m}

A: PDA-Push Down Automata PDA is a finite control automata with CFL language acceptance. PDA has stack…

Q: 4. Consider the following languages. ANFAFIN = {{N) | N is an NFA and L(N) is finite} EREX = {(R) |…

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

Q: (b)a - Consider the CFG : G= ({S,A,B} ,{a,b,c} ,R,S) where R is given by S> a Sc|A; A →a Able (i)…

A: Push Down Automata: It is exist for the context free language. It is purely depend on the stack…

Q: Proof that the language L1 = {a' b' c¹ | i≥ 1} is not Context Free.

A: The Answer is in step-2.

Q: Construct a CFG for the language L = {w € {0, 1}* | #o(w) > #,(w)}

A: We are given a language which says that Number of 0's in the string must be greater than or equal to…

Q: Let L = {w#w | w ∈ {a, b}*} be a language. Use the pumping lemma for context-free languages to prove…

A: L generates string like: a#a, aa#aa, ab#ab, aabb#aabb, b#b,bb#bb, aabaabb#aabaabb . . . . This…

Q: Design a PDA for the language L={a^(i)b^(j)c^(k):i,j,k≥0 and i ≠ j or j ≠ k }

A: The language L = {aibjck | i, j,k ≥0 and i != j or j !=k} can be simply written as L = L1 U L2…

Q: Consider the following languages over the alphabet Σ = {a,b, c} L₁ = {a¹ b¹ck: i, j, k € N such that…

A: The pumping lemma for regular languages can be defined in such a way that it is a crucial end result…

Q: Convert this PDA to CFG The language is L = {anbm : m >= n, where m-n is even}

A: Below is the answer to abobe question. I hope this will meet your requirements.

Q: Q4: Let Σ = {0, 1, #} and define a language B over Σ as follows: B = {r#s: r,s = {0, 1}^*, r is a…

A: The task is to prove that the given language is not context free.Given :Σ = {0, 1, #} Language…

Q: following language. }* number of 4's in w is not sible by 3} minimum number of states L?

Q: Draw PDAS for the following languages L. L = {w| w E {a,b}* and 2|x|, – 2 < |x|a < 3|c|, + 3}.

A: PDA for the language L

Q: Consider the language L = {a^b³ct | r, s, t € N and t ≤r× s} Problem 3 Use the pumping lemma to…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s. Never use…

Q: Construct a PDA that accepts the language={w ^p y^p z^k /p,k>=1 where∑={w,y,z} (3+1) Note: Also…

A: Given: language={w ^p y^p z^k /p,k>=1 task is to create PDA

Q: Define the problem SDFA: SDFA = { M1 and M2 are DFAS and L(M1) is a subset of L(M2)} In other words,…

Q: Show that the language L = {w E {a,6, c}" : na (w) + nb w) = nc (W)} is

Q: Construct a PDA that accepts the language L = {0n 1n | n ≥ 0}

A: L ={ε, 01, 0011, 000111,............................. }is supported in this language. The number of…

Q: Obtain a PDA to accept the language L={w wr | w |w| >= 1 for w e[a+b]*}

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

Concept explainers

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters:

Question

For a Turing machine M, (M) refers to the binary representation of M.
For a Turing machine M, L(M) contains the set of all strings accepted by M.
For a Turing machine M and an input x € {0,1}*, Steps(M, x) refers to the number of steps taken
by M to execute on x before it halts. Here, one step of execution of M on x = one movement (left or
right) of the tape head.
For a Turing machine M and an input x = {0,1}*, we define the following:
ReachCells(M,x) = {i : M reaches ith tape cell when M is executed on x}
Informally, it contains all locations on the tape that are visited when M is ecuted on x. The
leftmost location on the tape is the first tape cell, the location next to it is the second tape cell, and so
on.
A string w₁ is an anagram of w2 if w₁ can be obtained by rearranging the alphabets of w2. Formally, if
w₁ is an n length string, wê is called an anagram of w₁ if there exists a permutation à on n elements
such that π(w₁) = W2.

Let L be defined as the following language over {0, 1,2,3}*:
L = {0m1n-12n+13m: n ≥ 1, ≥ 0}.
Describe a PDA that recognizes L.

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: Introduction

VIEW

Step 2: Implement PDA

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

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

Construct a PDA that accepts the language={w^p y^p z^k/p,k>=1 where ∑={w,y,z}
S → [O_E_E] E → [O_E_E]|N N → 0|1|2|3|4|5|6|7|8|9|NN 0 → add|sub|mul|div|mod|shl|shr Create a PDA that recognizes JH-Lisp 2.1. PLEASE IN PDA, NOT CNE. I would also like to see the steps so I can understand how to do it.
Give a DFA M that accepts the language L2 = {w | w ∈ {a, b} ∗ and w 6∈ {b ia j |i, j > 0 }}..
Construct PDA for the language L=\ a^ m b^ m cA n | m, n>=1) .?
Prove that L = {w € {a, b, c, d}* | #.!-) = #6(w) = #c(w) = #a(w)} is not context-free. (Hint: No need to apply pumping lemma here.)
∑={0,1} için L={w | w=a^n,b^m, n,m ≥0} is language .Design the deterministic finiteautomaton(DFA) that recognizes this language.
subject computer science
Consider the language L= {a^(2^n ) n≥0}. Construct the state diagram for TM? please draw diagram
not handwritten Construct an npda that accepts the language L = {anbm : n ≥ 0, n ̸= m}.
Convert this PDA to CFG The language is L = {anbm : m >= n, where m-n is even}
6. Let D = { w#u|where w and u are strings over {a, b} and |w| = 1.5 * |u]}. If D is a context-free language, then create a corresponding PDA or CFG. Otherwise, prove that D is not a context-free language using the pumping lemma.
pda