softoimiene find

(1)

Logica ^Monadic

^a ⁽ ^MFOIMSO

⁾

solo _per

lingnaggi

Coralterisiohe^:

D Var ^. ^so^-o

def

^. ^mm

softoimiene find

^di

^IN

{

^0,1 ^. ^.^.^- ⁱⁿ ^- ^s

}

^, ^done ⁿ ^e^'

_la _lung

^.

della Inga

D. formula

^Q pero

'

essence :

• it ^. ⁱ ( ^x

) tie

_I

• 9, a 92 ⁱⁿ _pm^. ^x ^ie^' la letters ^"ⁱ ^"

•

three ₎

^bls⁾

• x cry

(2)

D 9. ^V

92=749

. A

-192 )

D

9.

⁹,

=

ill

_,

Vez

D ^Ix

(4)

⁼ ^'

Hehe )

D x ^-^- y

D z

^-^- ^X ^th

Dirty

D

_y ^-^- ^x ^- ^k

D costard ^O

D Pred ^. ol^' _successor

y=S(

^x⁾ ^I _y=xtL

D

Constant

^' mum ^. 1,2, ^. ^. ^-

D lastly

(3)

G.^:

(

nfosgtunghe ^che

îniziano ^con ^" â^" ê

^hanno ^almer

³ ^"^b ^"

NO) _n

F

^x_. _. xr _, xz

( _blu

₎ _n

_blxzlrblxs

₎ ^A _xetxz

I

^Axztxz A X. tX3

)

in pos^. 8 ^de^' ^"^or^"

•(^x) E in

pm ^. ^x ^de

' "

a

"

BH ₌ _in

pm ^. ^x ^ie

' "

b^"

(4)

b-

^.^:

L

⁼ ^at

bt

"

!

^→

• •*

bb*

:÷¥¥¥ ^'

•

(8)

n

Fl ( ^last ^(e)

ⁿ

^ble ⁾

ⁿ

⁷

^✗

⁽

^bat ^{^}

V. ylycx ^only

⁾

ⁿ

try /

^✗

^eye ^l ^boy ⁾ ⁾ ⁾ ⁾

(5)

b- ^. ^: ( ⁼

auth

_, nzD ^mom ^e^'

possible

ntilitzare

MFO

Utilizziamo la

MSO ^:

✗ probkma

Fp /

^Plo

⁾

^A

_VÉ( ^Pix

⁾ ^# ^iplxts⁾

₎ ^nltx ^/

^• ⁽^✗

¹⁾

A Flllostlllnplel ) )

aaaaa c-

L

8 ¹ 23

④

(6)

( ⁼ ^a^2kt ^I

Utilize

ions

to

^MSO ^:

⇐

Fp (

^Plo

⁾

^A

^Kr flash ( ^Pix

⁾ ^⇐ ^> ^Parts

D)

ⁿ

^ke ^lol

^✗

¹⁾

A Fl ( ^last ¹¹¹

ⁿ

^Piel ) )

a • or or ^a E L

0 ¹ ² ³

④

(7)

b- ^. ^: L=

let ^h /

^lo

)

⁺ ^MFO

Deco ) v

1101

D

F

^✗

( ^last 1×1^41×1

^✓ ^an

⁾ ⁾

D

th (

^e ^1×1

⁽

^earth

^vhlxti

⁾

) )

D V-

^✗

( ^lk

⁾ ^a ^1×+11

)

D

V.

^✗

that (

^e ⁽^✗

^HIV ^11×+1

⁾

) )

^← ^mom ^wanna

D

V-

^✗

(

^• ^1×1

(

^e ^1×+1

^)vl(

^✗⁺¹⁾

⁾ ⁾

^← ^bene ^se ^ooo

"

lost

^"

(8)

L ⁼

let ^h / G)

⁺

Deco ) _v

1101

D

F

^✗

( ^last ^1×1

ⁿ

@

ⁱⁿ ^vain

⁾ ⁾

D

th (

^e ^1×1

⁽

^earth ^v ^hlxti⁾

) )

D f

^✗

( ^llx

⁾ ^a ^1×+11

)

D

V.

^✗

that ^Alaska ) ₍

^el^✗

^HIV ^llxtl

⁾

₎ )

DV-xtalxlnlosk.tl (

^e ^1×+1

⁾

^v ^la

⁺¹¹¹ ⁾

(9)

Calcolabilitoi

Tes oh^. Church ^:

I

1. Non ie^'

formalisms

per

modell

_are

colcolo

meccano

'

potent ^delle

^TM

z _.

Ogni algoritmo ^puñessere ^codified

^com ^TM

(

^o

formalisms

equiv^.)

Sinonimi ^:

Algo

^, ^TM ^,

_programmer

^,

procedural

^- ^. ^.

(10)

Le MT possono ^essence

enumerate {

^MT

} ⇐ _IN

(11)

Problems ^:

richest

_d.

colcololalgontm.co

⁾

^di f

^: ^IN ^→ ^IN

in

generale parziale ₍ oppfneins.am

^'

numerals.li )

Fm

( fin )=pt ⁾

la fun

^.é

indef

^.

IN

_IN

(12)

F

algo

^. ^1Mt^. _prog^.⁾ ^de

⇐ f ^computable

breakable )

⁽

Problem

_.

coleola

f ^risdvibile

lcakolabile

)

(13)

/ _{ _f

^: ^IN ^→ ^IN

} /

⁷

^/ { f.

^IN ^→

^{

^0.1

_} } ^I

=

1 _PANI /

⁼ ^z ^"^" ^'

① ^/ ^INI

⁼

^I ^{

^MT

^} ^/

IN

(14)

Deidiklitoi

IN

^→

{

^0,1

}

IN

" "

¥1m )={

⁰¹ ^series^series

(15)

Is computable Talgo ^de ^caledon ^Is ^Prob

^. ^dead^.

^bile

⇐ S _ricors.no (

deciolible )

(16)

y

m c- S

II 's

^In ⁾ ⁼

{

¹ ^m¢ ^s

I 's ^cakobob ⁽

^⇐

^Talgo

^per ^I

^'s ⁾

^⇐

^Pre

^, ^semi ^-

^deaétbile

S ricorsvamenk enumerable (

^semi ^-

dec

.

)

(17)

tzt 1/2=1

^:

S _ric

. ⇐ _sr.enum.rs ^' _r

. enum .

Corollary ^:

is nice .

:

see . A ^- S

're

_.

> Sr ^. ^e. A S ^' ^r ^- ^e ^.

nsr.e.tl 'S

'm

^- ^e ^.

(18)

Teo^.

di

^Rice ^: _f-

=

{

^tutte ^le

f. computability

=

{ ^fi lie ^IN } f. ^=L

_da^. ^cahokia_i

-esima

P

^C- ^F ooltoinsieme

off

^. ^comp ^. ^TM

de

ooololisfoms

^monarda

proprietor

^.

s={

^✗

If

^✗ ^EP

}

S _ricommwo

(

^{B. okc} ^.

)

^⇐

(

^P

^=P

ⁿ ^D=

^F)

(19)

Per _insane ^teo^. ^di Rice ^:

1. Il

problem

^a

riguonda

^MT

⁽

^•

form

^. ^equiv^.

⁾ generate

2.

Il problem

^a

rigmarole proprietor

^'

^della _fun

^.

^Cahokia

Grove

d- fonnobzzare ^il problem

^. ^com ⁱⁿⁿ

formula ^logica

che

_ma

^solo fy

(20)

Riduzirone ^:

Dim. dead^. di

problemaoconosawdo

^:

→

Roope

_dec^# ^moto

.

>

P2

_dee

.

mom

loconosco _re

calcolab

^.

✗ c- P

, ⇐ _rlx

)EPz

(21)

Rishi _Ps ( ^✗ ) ^:

y ^← ^r ⁽^X⁾ 11 ^r ^calc ^.

ool ←

pisolvipzly

⁾

¹¹ R-sohinpzes.de perdi ^Pz

^dec ^.

return sol

(22)

b- ^. ^:

R ^: data ^una _generico _gramm^. _reg ^. ^G _,

dire

^se _{( (G)} ⁼ Pz ^:

dato

_un

adama

^FSA ^A _, dire ^ae (

(A)

⁼

motto

.

re

(G)

^: ^ritorno

algorithmic ^amate

^FSA ^A

corrisponobnte ^ILIA

^/ ^=L

Call Risohips (

^a

)

^:

A ^← RIG

) Ps ^dec

^.

sol ^←

Risohipz (A)

return sol

(23)

Rid .

per

indec

^. ^:

Pz

sconoociutooospeltoinokc.pe

^not

INDIE ^.

→ _Pz ^roospelto

Indec .

Per

asswrdo

, sin Pz olec ^.

Allora

⁷ _Risohipz .

Dosso _naivete _:

Risolnipslx )

^:

y ^← ^rlx⁾

Pz ^inobc

^.

sol ^←

Pisohipz

₍_y

)

return

_sod

←

_assure_do

(24)

b- ^.

:R=

^Problems ^: ^stabilise ^se ^un

generico programmer

^A

accede

a war. mom initialized .

µ

B.

⁼

Hating

Problem

→ Pz

(ns.toinolec.

)

Risohi

HPLA

^: _generico _programmer

₎

^:

^RIA ⁾

^:

A ^' ^←

HAI

µ ^A'

⁼

^{ ^Y=×

^A ^;^; ^Hvar^.

od ←

Roshi KIAM

^nomina

_}

^.

return ool %

^return ^A^'

assurdo

(25)

Diagonalizes

^zone ^: ^ohimosha ^inobc ^.

ragionomob

^per ^assurdo

"

Questa Gosei falsa

^"

(26)

↳

Foot

_corse da

fore

^:

1 .

Caprine

^se ^il

prob

^. ^e^'

^drums

^.

⁽

^lapin

^quod

^é ^l^'

^{input help}

^.

⁾

2 .

Provoke Rice

(

^se ^ai _pno^'

appliance ⁾

3 .

Region

^are

^out problem

^or

(

^Riohvzione , trouble

algo

^. ^,

diagonalize

^oveione

⁾

(27)

G- ^. ^: Problems : oapere ^se ^una generico

f

^: ^IN ^→ ^IN

^calculable

guests f. oodolisfa

^:

V-

^✗

( ⁽

^✗ ^so

_fasts ⁾

¹

(

^✗ ²⁰

⁽ _ft

⁾ ^> ³⁷ ^✓

( fat

^-1-1

⁽ fat

^-100 ⁾

⁾ ) ) )

INPUT ^:

f

^→ ^none^'

^Chimo

Si

puri applicore

^Rice ^.

(28)

V.

^✗

ltKAÉHAÉHH→

( ✗IMMA# 181×1>37

^V

Ifat

^-1-1

⁽ fat

^-100 ⁾

⁾ ) ) ) f-

^✗

⁽ ft

⁾ ^> ³⁷ ^✓

( fat

^=/ ^1-

⁽ fat

^< ¹⁰⁰ ⁾

⁾ )

CASOI ^:

flx

⁾ ^=L

V-

^✗

( ^ft

⁾ ^> ³⁷ ^V ^T

₎

⁼ ^T

CASO ² ^:

flx

⁾ ^-1-1

V-

^✗

( _fk

⁾ ^> ³⁷ ^V

_f

^1×1<100

)

⁼ ^T

(29)

P ⁼ F ⁼

{ f

^✗

^}

⁼

^{

^tutte ^le

^f.

^calc^.

^}

Dec . per Rice

(30)

Prob

^: ^Sia ^data ⁱⁿ

input

^ima

^fun

^.

^cokolobile fy

ai

stabiliser

_se

_Down

,

of fy

⁼ ^21N

⁽

^insane ^dei ^pani

⁾

V.

^✗

( fylx

_-

⁾

^-1-1 ^⇐

^Fz ^/

^✗ ⁼ ^Zz

⁾ ⁾

-

fun

^.

^def

^. ⁱⁿ ^✗ ^✗

poi

INPUT ^:

fy

sipno

^' ^more ^Rice

?

^Si

(31)

fly ^;-)

^=L

^HEIN ^fj¢P

trip

fy

^,

,H={

¹^1- ^•

^aliment

^✗ ^Poi

^fy.ie ^p

( ^Pto

ⁿ

^Pt f) ^indec

^-

softoimiene find

Logica Monadic

)

lingnaggi

def

softoimiene find

IN

{

}

la lung

della Inga

D. formula

) tie

three )

92=749

-192 )

9.

ill

Vez

(4)

Hehe )

D z

Dirty

D

y=S(

Constant

nfosgtunghe che

hanno almer

F

( blu

blxzlrblxs

I

)

b-

L

bt

!

bb*

:÷¥¥¥ '

(8)

Fl ( last (e)

ble )

7

(

V. ylycx only

)

try /

eye l boy ) ) ) )

auth

possible

ntilitzare

Utilizziamo la

✗ probkma

Fp /

)

_VÉ( Pix

) nltx /

1)

A Flllostlllnplel ) )

L

④

Utilize

to

Fp (

)

Kr flash ( Pix

D)

ke lol

1)

A Fl ( last 111

Piel ) )

④

let h /

)

1101

F

( last 1×1^41×1

) )

th (

(

Logica ^Monadic

⁾

^IN

_la _lung

three ₎

nfosgtunghe ^che

^hanno ^almer

( _blu

_blxzlrblxs

:÷¥¥¥ ^'

Fl ( ^last ^(e)

^ble ⁾

⁷

⁽

V. ylycx ^only

⁾

^eye ^l ^boy ⁾ ⁾ ⁾ ⁾

⁾

_VÉ( ^Pix

₎ ^nltx ^/

¹⁾

⁾

^Kr flash ( ^Pix

^ke ^lol

¹⁾

A Fl ( ^last ¹¹¹

^Piel ) )

let ^h /

( ^last 1×1^41×1

⁾ ⁾

⁽

^vhlxti

( ^lk

^HIV ^11×+1

^)vl(

⁾ ⁾

let ^h / G)

( ^last ^1×1

⁾ ⁾

⁽

( ^llx

that ^Alaska ) ₍

^HIV ^llxtl

₎ )

⁾

⁺¹¹¹ ⁾

potent ^delle

Ogni algoritmo ^puñessere ^codified

_programmer

} ⇐ _IN

^di f

generale parziale ₍ oppfneins.am

( fin )=pt ⁾

⇐ f ^computable

f ^risdvibile

/ _{ _f

^/ { f.

^{

_} } ^I

1 _PANI /

① ^/ ^INI

^I ^{