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1 2 3 4 8 accep t 5 6 7 A = {w#w | w in {0,1}*}

1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

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Page 1: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

A = {w#w | w in {0,1}*}

Page 2: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

Σ = {0,1,#}Γ = {0,1,#,x,_}

Page 3: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Example 1

• s = #

Page 4: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = #_ _ _ _ # _ _ _ _ _

Page 5: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = #_ _ _ _ # _ _ _ _ _

Page 6: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = #_ _ _ _ # _ _ _ _ _

Page 7: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Example 2

• s = 0#

Page 8: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 0#_ _ _ 0 # _ _ _ _ _

Page 9: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 0#_ _ _ x # _ _ _ _ _

Page 10: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 0#_ _ _ x # _ _ _ _ _

Page 11: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Example 3

• s = 01#0

Page 12: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#0_ _ _ 0 1 # 0 _ _ _

Page 13: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

_ _ _ x 1 # 0 _ _ _s = 01#0

Page 14: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

_ _ _ x 1 # 0 _ _ _s = 01#0

Page 15: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

_ _ _ x 1 # 0 _ _ _s = 01#0

Page 16: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

_ _ _ x 1 # x _ _ _s = 01#0

Page 17: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

_ _ _ x 1 # x _ _ _s = 01#0

Page 18: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Example 3

• s = 01#01

Page 19: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ 0 1 # 0 1 _ _

Page 20: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # 0 1 _ _

Page 21: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # 0 1 _ _

Page 22: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # 0 1 _ _

Page 23: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 24: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 25: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 26: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 27: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 28: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x 1 # x 1 _ _

Page 29: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x 1 _ _

Page 30: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x 1 _ _

Page 31: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x 1 _ _

Page 32: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 33: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 34: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 35: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 36: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 37: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 38: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 39: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

1

2 3

4

8

accept 5

6

7

1x,R

0,1R

#R xR

1x,L

0,1,xL#L

0,1L

xR

0x,R

xR

0,1R0x,R

xR

_R

#R

#R

s = 01#01_ _ _ x x # x x _ _

Page 40: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Finding a symbol “-”Move until you hit _

q

xR

_R

Page 41: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Branch inside of a loop

1

2 3accept

6

7

1x,R0x,R

?R

Page 42: 1 1 2 2 3 3 4 4 8 8 accept 5 5 6 6 7 7 A = {w#w | w in {0,1}*}

Expanding the Tape Alphabet

Σ = {0,1,#}

Γ = {0,1,#,x,0,1,#,x,_}


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France Crisis Information Settlements Transportation ... · Coastal lagoons Praia de Esmoriz Praia de Cortegaça 8°38'1 5"W 8°38'1 5"W 8°38'30"W 8°38'30"W 8°38'45"W 8°38'45"W

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92&$7,21$/ ('8&$7,21 (;$0,1$7,21

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0,1$2))$3))24&* 5)*1(!,/3))24&*63%&-!78 !&1!,7/9:8:;9

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