Exercise 16 Conversion of finite automata to regular expressionsLet the following non-deterministic automata N₁ and №₂ be given:aN₁:N₂:Convert both non-deterministic automata N₁ and N₂ to regular expressions a and 3. Use the procedurefrom the lecture! The regular expressions a and 3 have to describe the same languages that areaccepted by the automata N₁ and N₂. Thus the following should hold:L(N₁)=L(a) and L(N₂) = L(3).Indicate all intermediate steps of your transformation.(Note: If you apply the rule S (deletion of loops) as late as possible, the resulting regular expressionswill be smaller.)

We must transform the given non-deterministic automata to regular expressions in this problem. The…

Exercise 16 Conversion of finite automata to regular expressions Let the following non-deterministic automata N₁ and №₂ be given: N₁: Convert both non-deterministic automata N₁ and N₂ to regular expressions a and 3. Use the procedure from the lecture! The regular expressions a and have to describe the same languages that are accepted by the automata N₁ and N₂. Thus the following should hold: L(N₁)=L(a) and L(N₂)=L(S). Indicate all intermediate steps of your transformation. (Note: If you apply the rule S (deletion of loops) as late as possible, the resulting regular expressions will be smaller.)

Exercise 16 Conversion of finite automata to regular expressions Let the following non-deterministic automata N₁ and №₂ be given: N₁: Convert both non-deterministic automata N₁ and N₂ to regular expressions a and 3. Use the procedure from the lecture! The regular expressions a and have to describe the same languages that are accepted by the automata N₁ and N₂. Thus the following should hold: L(N₁)=L(a) and L(N₂)=L(S). Indicate all intermediate steps of your transformation. (Note: If you apply the rule S (deletion of loops) as late as possible, the resulting regular expressions will be smaller.)

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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1. a) Construct the NFA that will accept the string of the regular expression dc(a|b|c)* (aa|dc)* b) Construct the NFA that will accept the string of abc|abd c) Construct a Non-deterministic Finite Automata (NFA) that can recognize the set of strings formed by acb (ab/c)*
1. Construct the Non-deterministic finite automata that will accept the string of the regular expression dc(a|b|c) * (aa|dc) * 2. Write a regular expression for the set of binary strings where each string has at least one pair of consecutive zeros
Subject - Theory of Computing Please do no. 3 & no 4 and make sure you write the no for wich one you provided answer. Thanks in advance 3. Let S={ab, bb} and T={ab, bb, bbb}. Show that S*≠T* but that S*⊂T*.4. Write the regular expression for the language of all strings, over alphabet {a, b}, that end in a double letter, i.e. ending in aa or bb but not ab or ba5. Draw Deterministic Finite Automata to accept the following sets of strings, over the alphabet {0,1}, that contain exactly four 0s (not necessarily consecutive zeros) 6. Write the regular expression for the language of all strings, over alphabe that end t {0, 1}, the set of all strings in which every pair of adjacent zeros appears before any pair of adjacent ones. Justify
This exercise is to generate a language and a finite automata to process the language. The language must have the following properties: 1. The alphabet (sigma) for the language can contain no more than 3 characters. 2. The language must be defined using 'begins with','ends with', and/or 'contains (substring)' elements. An example, which you cannot use, is "L is all strings over {a,b}* that ends in 'a' and contains 'bb'" 3. The language must be unique and cannot only be different by changing the alphabet. So for example the language: "L is all strings over {x,y]* than ends in 'y' and contains 'xx'" would be considered the same language as the one defined in step 2 above. After defining your language, draw the finite automata that properly processes your language. I suggest picking a longer strings of 'begin/ends/contains' characters. It'll be easier to meet all the criteria with a longer strings even though it takes a bit more work to generate the automata.
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This discussion has two parts. This nondeterministic finite automata (NFA) from the exercise at the end of chapter 3. Figure 3.37a. It has the specific nondeterminism we want to exhibit. Generate a unique string in the language accepted by the NFA with the following two properties: 1. The string is a minimum of 5 characters long. 2. The string forces a non-deterministic choice in the NFA. For example the NFA 3.37a has two transitions for 'a' from state 1: So, a string in the language accepted by this NFA can force a nondeterministic choice if the NFA is currently in state 1 and 'a' is the next input character. So for example (which no one can use) the string 'bbaab' would drive the NFA to state 1 with the first 'a' as current input character, forcing a nondeterministic choice. Once you have your NFA and your string to process. Generate a computation tree that shows the processing of your string by the NFA. Post your computation tree along with your NFA and the string you processed.
Answer True or False for the following questions a) Deterministic Finite Automata (DFA) can be used to depict a set of languages that cannot be depicted usingan Nondeterministic Finite Automata (NFA).(True or False) b) DFA and NFA both can depict exactly same set of languages.(True or False) c) DFA can have at most one final state.(True or False) d) NFA can have at most one start state.(True or False) e) Every regular expression can be written using context-free grammar (CFG).(True or False)
Exercise 5.2 Draw the diagram of the DFA that recognizes the entries whose at least one of the last 3 symbols is 'a', with Σ= {a, b}. (DFA: Determined Finite Automata) Thanks.
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Answer the given question with a proper explanation and step-by-step solution. Using the algorithm discussed in class, ”Big loop algorithm” show the transition diagram for a pushdown automaton (PDA) to recognize the language generated by G, which ahs the following grammer rules S →BAC A →a | b | c | ε B →bB | b C →cC | ε Fully define for the grammar G above, that is G = (....Describe in English what language the grammar G generates . Give an example showing that the grammar G above is ambiguous
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