4) Consider the language L = L₁ L2, where L₁ = {ww: w = {a, b}* and L2 = {a”b*a": n≥ 0}.a)List the first four strings in the lexicographic enumeration of L?b) Write a context-free grammar to generate L.c) Show a natural PDA for L. (In other words, don't just build it from the grammar using one of the two-stateconstructions presented in this chapter.)d) Prove that L is not regular. 1) Build a PDA to accept each of the following languages L:a)BalDelim = {w where w is a string of delimiters: (, ), [, ], {, }, that are properly balanced}.b) {ab2i3j + 1}.c) {w = {a, b}* : #a(w) = 2•#b(w)}.d) {a"b" m≤n≤2m}.e){w = {a, b}* w = w²}.f) {abci,j, k ≥ 0 and (i #j orj #k)}.g) {we {a, b}* : every prefix of w has at least as many a's as b's}.h) {aba" n, m ≥ 0 and m is even}.

a) BalDelim = {w: where w is a string of delimiters: (, ), [, ], {, }, that are properly…

Answered: 4) Consider the language L = L₁ L2,…

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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Q.No.3 (a) Define through recursive definition , The language L of strings that start and end with different latters and also must contain aa in middle of each string, defined over Σ={a,b,c}. also Write at least 2 Valid and 2 Invalid strings belongs to this language (2+2) (b) Write the Regular expression for the language which accept no pair of consecutive a’s over Σ ={a,b} (1+1+1) i.R.E= ______________ (1) ii.3 Valid strings= _______________(1) iii.3 Invalid strings= _________________(1) (c) Construct a DFA which accepts all strings over Σ ={a,b} in which second last symbol is a and last symbol is b. also Write at least 2 Valid and 2 Invalid strings for the designed DFA.
Construct npda that accept the following languages on Σ = {a, b, c}: L = {anb3n : n ≥ 0}.
Q: Use recursive definition for the following languages Define the language L, having even number of a’s and even number of b’s. Define the language L, in which the a’s appear tripled means a’s appears in chunk of 3, 6,… Define the language L, in which all words contain only 2 b’s but any number of a’s
Please dont copy or use chegg answeres. Please! Also explain Let Σ = {a, b, c} and define the finite languages L1 = {, aa, ab, ca, bab, bba, ccc} L2 = {a, c, ca, ccc} L3 = {c, ba, bab, bba, abc}. 1. (L1 ∪ L3) \ (L1 ∩ L2) 2. (L2 ∩ L3)L1
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Let Land M be two languages. The XOR operator ⊕ between two languages is defined as follows: L⊕M={w | w is either in L or M but not in both}Is the XOR operation closed for the class of: a) regular languages? b) context free languages? Answer each part with a yes/no, followed by a brief justification.
3. Construct npda’s that accept the following regular languages:(a) L 1 = L (aaa ∗ bab).(b) L 2 = L (aab ∗ aba ∗ ).(c) The union of L 1 and L 2 .(d) L 1 − L 2 .(e) The intersection of L 1 and L 2 .
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Can you please help me with this problem I am struggling and I don't know how to solve this problem, can you do something visual for me to understand it better or show calculations and can you explain it step by step very thoroughly. question that I need help with: 1.42 For languages A and B, let the shuffle of A and B be the language {w| w = a1b1 · · · akbk, where a1 · · · ak ∈ A and b1 · · · bk ∈ B, each ai, bi ∈ Σ ∗ }. Show that the class of regular languages is closed under shuffle.
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Build an NPDA that accepts the following languages on Σ = {a, b, c} without converting to the grammar, use the algorithmic equations L = {anbmcn+m : m,n ≥ 0}

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