2. Fix an alphabet Σ. For any string w with w|≥2, let skip(w) be the stringobtained by removing the first two symbols of w. Define two operators on languages:1(L) = {w € Σ*: skip (w) € L}, andf2(L) {skip(w) *: WELa) Consider L' = L(bba*) over the alphabet Σ= {a, b}. Write a regularexpression representing f₁(L'). Write another regular expression representingf₂(L').b) Claim: for every regular language L the language f1(L) is regular.Clearly state whether the claim is TRUE or FALSE, and then prove your answer.c) Claim: for every regular language L the language f2(L) is regular.Clearly state whether the claim is TRUE or FALSE, and then prove your answer.

Let's break down the problem to answer each part systematically. Problem Recap:We are given two…

Answered: 2. Fix an alphabet Σ. For any string w…

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

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Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s and b’s, and the set of b’s is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ε ∈ L for completeness (0 number of a’s is equal to 0 number of b’s, which are also consecutive). Show that this language is context-free by giving a context-free grammar. Please make sure to test the answers onhttps://web.stanford.edu/class/archive/cs/cs103/cs103.1156/tools/cfg/
Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s and b’s, and the set of b’s is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ε ∈ L for completeness (0 number of a’s is equal to 0 number of b’s, which are also consecutive). Show that this language is context-free by giving a context-free grammar.
Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s and b’s, and the set of b’s is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ε ∈ L for completeness (0 number of a’s is equal to 0 number of b’s, which are also consecutive). Show that this language is context-free by giving a context-free grammar. I want a CFG
Consider a set of symbols E = {aks}. (1) Find all strings in E* shorter than 3. (2) Let L = {1, b, ca}. Is L a language on E? Why? (3) Write L° and L².
Can you please help me with this because I am struggling with this problem, Can you please do this problem step by step and can you do explanations as well.
Use the Pumping Lemma to show the following language L is NOT regular. L= {w E (a, b, c}* ; where w has equal number of a's, b's, and c's}
Construct a CFG and PDA for the language B={w| w is a string over {a,b} with the same count of a's and b's}. For example, abba € B, abab e B,aabb € B, babbbaaaba € B, that is, there is no particular order in which a's and b's appear in w as long as there is the same amount of them.
can you help me with this problem because I am struggling on how to figure out this problem, can you explain it step by step. Can you give a full detail explanation on solving this problem. Thank you. question that I need help with:1.60 Let Σ = {a, b}. For each k ≥ 1, let Ck be the language consisting of all strings that contain an a exactly k places from the right-hand end. Thus Ck = Σ∗ aΣ k−1 . Describe an NFA with k + 1 states that recognizes Ck in terms of both a state diagram and a formal description.
Q: Let Ls= {|R1 and R2 are regular expressions and L(R1) = L(R2)}. Ls is a language containing all strings that contain pairs of regular expressions that accept the same language. Show that Ls is decidable.
Correct and detailed answer will be Upvoted else downvoted directly. Thank you!
Can you help me with this problem because I am having a difficult time trying to figure out this problem because i don't understand how to do this, can you please explain this step by step. question I need help with:1.60 Let Σ = {a, b}. For each k ≥ 1, let Ck be the language consisting of all strings that contain an a exactly k places from the right-hand end. Thus Ck = Σ∗ aΣ k−1 . Describe an NFA with k + 1 states that recognizes Ck in terms of both a state diagram and a formal description.
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