1. Finite Automata Let us consider the following -NFA defined over the alphabet >= {0,1}. 0,1 0,1 start → A 1 1. Transform the automaton into an NFA, that is remove the transitions. Show, and com- ment on, all the steps. Show the resulting transition function (as a table) and also the diagram of the resulting automaton. & o B

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
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QUESTION 1
1. Finite Automata
Let us consider the following -NFA defined over the alphabet = {0,1}.
F-
0,1
€,0
0,1
start → A
B
1. Transform the automaton into an NFA, that is remove the transitions. Show, and com-
ment on, all the steps. Show the resulting transition function (as a table) and also the
diagram of the resulting automaton.
2. Transform the resulting NFA into a DFA. Show, and comment on, all the steps. Show the
resulting transition function (as a table) and also the diagram of the resulting automaton.
3. Minimise, if possible, the resulting DFA by applying the method of partitions. Show, and
comment on, all the steps. Show the resulting transition function (as a table) and also
the diagram of the resulting automaton.
4. Apply the appropriate algorithm to verify that the DFA before and after minimisation are
equivalent.
5. Determine for the most minimal DFA available the language that this automaton accepts
by finding its regular expression. Manipulate the found regex to represent it in the most
compact way.
Transcribed Image Text:QUESTION 1 1. Finite Automata Let us consider the following -NFA defined over the alphabet = {0,1}. F- 0,1 €,0 0,1 start → A B 1. Transform the automaton into an NFA, that is remove the transitions. Show, and com- ment on, all the steps. Show the resulting transition function (as a table) and also the diagram of the resulting automaton. 2. Transform the resulting NFA into a DFA. Show, and comment on, all the steps. Show the resulting transition function (as a table) and also the diagram of the resulting automaton. 3. Minimise, if possible, the resulting DFA by applying the method of partitions. Show, and comment on, all the steps. Show the resulting transition function (as a table) and also the diagram of the resulting automaton. 4. Apply the appropriate algorithm to verify that the DFA before and after minimisation are equivalent. 5. Determine for the most minimal DFA available the language that this automaton accepts by finding its regular expression. Manipulate the found regex to represent it in the most compact way.
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