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COMPUTER SCIENCE, ENGINEERING, INFORMATICS DEVELOPMENT
COURSES for Undergraduate Students, Scientists & Engineers Email: [email protected], [email protected] Website: www.ceid-courses.gr Facebook: www.facebook.com/Ceid.Courses.Patra
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– .......................................................... 58
1 – ................................................................................... 59
1.1 ....................................... 59
1.2 ....................................................................................................... 59
2 –
............................................................................................................... 60
2.1 Deterministic Finite Automaton – DFA ................ 60
2.2 Non – Deterministic Finite Automaton – NFA 60
2.3 NFA DFA ............................................................................................................... 60
2.4 NFA DFA ............................................................................................................ 61
3 – REGULAR LAGUAGES – RL ................................ 62
3.1 .................................................................................................................... 62
3.2 ........................................................................................ 62
3.3 ............................................................................................ 62
3.4 – RE ........................................................................ 64
3.5 RE NFA ........................................................................................................... 65
3.6 – Deterministic
Finite Automaton – GNFA .................................................................................................................... 67
3.7 – ................................................ 67
3.8 Lemma – PL ..................................... 67
4 – .................................................................. 68
4.1 – CFG ................................................... 68
4.2 n – PDA .................................................................. 68
4.3 – CFL ....................................................... 68
4.4 ............................................................................... 69
4.5 Lemma – PL ............................ 70
3
5 – TURING ............................................................................. 71
5.1 – TM ................................................................................... 71
5.2 ........................................................................................ 71
5.3 – .............................................................................. 72
......................................................... 73
1 – ................................................................................... 74
2 –
............................................................................................................... 74
3 – .......................................................................... 75
4 – .................................................................. 76
5 – TURING ............................................................................. 77
6 – .................................................................. 77
................................................ 78
1 – ................................................................................... 79
1.1. – ......................... 79
1.2. .................................................................................................................. 79
1.3. ............................................................................................................. 80
2 – .................................. 81
2.1. DFA ....................................................................................................................... 81
2.2. DFA ............................................................................... 82
3 – ............................ 83
3.1. NFA ....................................................................................................................... 83
3.2. NFA DFA .......................................................................................................... 84
4 – ...................................................................... 85
5 – ..................... 87
5.1. RE NFA ............................................................................................................ 87
5.2. DFA RE .......................................................................................................... 87
5.3. NFA GNFA RE ............................................................................................... 89
6 – .................................................................... 91
6.1. ................................................................................. 91
4
6.2. ........................................................................ 92
7 – ........................................................ 94
7.1. CFG ....................................................................................................................... 94
7.2. – DFA NFA .......................................................................... 95
8 – .......................................................................... 96
9 – ........................................................... 97
9.1. ........................................................................ 97
9.2. ............................................................... 97
10 – TURING ............................................................................ 99
11 – ................................................................ 101
........................................................ 102
....................................................................... 199
1 ........................................................................................................ 200
2 ........................................................................................................ 201
3 ........................................................................................................ 202
4 ........................................................................................................ 203
5 ........................................................................................................ 204
6 ........................................................................................................ 205
7 ........................................................................................................ 206
8 ........................................................................................................ 207
9 ........................................................................................................ 208
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6
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: TURING
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7
8
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58
–
1.1
1 : m m2
n m m1
2 A BA B 1 1 f A B
A B A B 1 1
1.2
R A D Ra A a a R
a A R b A a b R D
R
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73
–
1
–
DFA NFA 2
DFA NFA .
74
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1.1. –
A B De Morgan
A B A B A B A B
2 2
3
t tP11
tt
tMP PM YM
4 A
AAP A
5 *w
RRw w
6 *w x R R Rwx x w
1.2.
7
8 25000 3
9 52 5
2
10 13 2
11 10 100
2
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102
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5 :
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6 :
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7 :
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103
8 :
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9 :
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10 : TURING
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104
105
…
199
– 1– –
–
–
h –d –
4
e c b –h g –
–
– g t –
–
– i j –
9
a –
c –
10
2 – f –
200
…
HM
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The –
3rd
rd
Learning
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