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TOC m3

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TOC m3

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E Cqr, ,b,b). Cfu,, L)


€V +: A^"17, n Slab X,,tt *ru- g*-tr n a pof^A^o.^
++4Js .{ nn &"p"f .91rrvt}p4 b be- sc-enru-d q +l^o B+auc.
Snorrd be e{Y i'.-- 4-o. S-tact- Slrol.td c^s^F4; {o ,
Nouo, $ory +^o S+a-b to Xr- E do npf a.rLl, +^e-
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frt(

ty
fr*-',
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Sh
So, -rkc PDA M 0b atchbr 4-{ U?b^rf"
da

LtN).= f t^lc^rRl-. tA+gY?


rin

**t t-o'*t, +-",..Jj+, sl^, tr+h ,] S*^ Ly


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D

}'
6 : LS 3hc-srr , h"l^,
6Cqr,qrz4) =.(avotaa)
ti
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ii
ii 8 (q,o,,a , d) = C1,",o-a-)
t (nr, b, a) ' (U, ba)
6C1,o,qb) = C%,,&)
6'(U, L, L) : L4o ,bb) .
t (+. ,c.,4) = Cn,,,4)
8(4ro,c,qJ = Cq,,q) :-
EC1ro,e,b)' (Q,,b)

ty
et
Sh
da

a,olL
rin

b-tb / e

ffi
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c,%lzo
c,, ql o,
c, blt
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s=tqr1- t +* #-'ct^t

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ts @,,bdarbrc7^)
F C qt, ?q ,uo U)
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o.obcbob
a r. ol
b.6 l-t+-
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&fr^,* il by +k' :l-ta-'Fili-en-' -

t L+,, t,z)' C*,rg)


uel{-'t a- t- d acvpti) b7 !^ ry\ rJau-,
o^t +h;.+
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et
a bo actr+l +1*
Sh
orb't-q"n PDA Lo"n^'.*X*

L=fo,nbqInr,tJ bV &
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dra,,Q'
6"^4J
Sod')
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g(lro,Q,zo)' CLo,axt)
r.V

d (4,o, a, a) = (nurqd)
D

t (qo, b, a) " Ctl, , , t)


E(q,,b, a) -- (6,,e).
E (q,,e,zo)" C4,r,r,o)

9o lts pDA h cuf+ +k-


a
t:f.anbnIn,.t?

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I
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k}({J,l.
&r l to,\,,qr\
Z = ?a,b9
T = fa,zoj
J: b 3\ n.rn b eJ6uJ

S (+r,a ,zo) = (q,o ,Q7o)


6 (qro, o, a)
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E
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A( g 7l .1 +l{- h"r*ial S.6..Uot cno 4r- .fJagl-
tr
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o,i,z.lor.
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a,ala.a
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2,,Ufa
b, ole

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Wrc, a PD-ff f-o car*ft t- C,.n).


f dec
o,J ?aC^t2 =-D,tt*) b.d' o.
d:
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E C?,a,b,zo) : (+o',uto;

f-
la
lv
lq
\g
ta/
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go +.4- "t

ty
et
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f=
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u ^b4
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the- JL6\^td La u1y a^..


+Ie E+a(f-. t9o, lh 6L+aG

ul0a(s fu
6k b'r &shq
tt
t-
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+ trrr,^-l aX,. d.r\
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I !i
I ;l
nn
I
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t, ,l
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= Lq, , ,h)
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ca)t *. cha"*eA a!
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'l U
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rr et r
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tl
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6.t
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da

;iYt
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E(+,,t, () -- (?,,(()
fCt,,(,t)= (a,,,tt)
E(q,,[, () 3 (q,,t()
dCq,,[,[)- (q,,,tL)
[(q,,),()=(x,,O
S (+,,J,[). (q,,L)

f ,a) = (a,z)
d (?,

a
f-t : C o, z-,f , t, no,z4 ,

3Jr o,"rn a-b Crfe-


%o QO,- t-8 +L{ 931q- 9-t.ab u'k *![c-
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u \^q!d_ .

ty
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a;
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ho C,rr) ts nt t ,l) J

Ppn bb o.t+pr L^a l^.1ry


da

gut 5 Uxa
rin

L=f of 1ot,s;>no1vD.J
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M=C0,2,T,€,no,4,F)

4= |ro,f,,J
_ A

f = la,bt '

7= f c, b,A\

8; ,4 f h o^ra b<t ,<-o

t (orr, ,A ,Z)
lr
I

I
?
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S(qro,b,4)= t%",8) ,

s(qro,b,c-) = (t,,a1 ' '

1, o A & t* -+'l'\r. Starl S+u.tG 6b urr I C


Zoef. b y- i^i4{^f ft.,^S"t 6'? tAi qJa.t&-
F={qr,? i,
f,'d s}u\. Lo5

@l ol"+ai a- Por b ac+pt +{^4. U^g%

ty
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L et haL,-l) < +gt-) f
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Iwl"tot-) (nrc-'J]
da

b1
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o
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rvl=f o,z,f ,E,1r,4rF)


a
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Q. '-1q^,*,\
Z=ta,bJ
I = fr-^-;b,2"3 4'
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Eu tho^srr b".t-^l
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(t%)b, zo)> G,o,bzo)
d (e a, o) : Cq. ,a^)
"t
0 (q- ,b,b) = Cn ,bL)
t (U,e,b)> (q-,e)
il

%ea-u tli 4c,


X.ef Ls LG m {fi 4fz^qq_
ii F= lq,1 L8
ii
ii

6L4nh q. pD A ,b acgpt_

t= $o"br"
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lt Qnl,
t, 8o ,'++* PDA b " act+p+ U€

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c

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M'(Q,,2,T,E,%o,4,p)
da

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rin

li
Q,t t %o,1r,,qrrl
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d(%o , Q, zo) = (4,o, M.,-) ..
e [ (qr",Q,o-)' (+",a-anl,
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6Cqt,, 6r*) -- (%,, L)
ECfun L)?-) =C7tr, L)
% ea t, b a4- gari s*l; dh -1.
e I u +t' c.n +u r-/aur
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t
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qpu-J 'o,(ygl'r-,
0

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r.V

a ( O" ,bbb ,aoue-%)


l- C"%, bb , onoQ
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t- (q, , e-^z-) i
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t.

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t:
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ti
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o'tno;n a PPA bo ott'P 'tL& to"2"o'g'


--;,::---':.--'-:-'. -------*

' L: t -.qo,+bf 3
:bt o' f ^91 s+at.' ----=:::=jjj-::"

^^ol
L=[ r^r.^rR [t.*l etcr+u)t!
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1
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r tt%rq, b1 =
I
t.

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i
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6 (qo ,b ,b)
da

s ( ou , ,b ,7n),= cfur-, t")


rin

.h*^f I tn anJatf.LJ 3 fr1, c ?rt cr'


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a8'
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8 , 1ro ,7n,P)
6(%n,e,h)' Ca,z^)
6 (%, ot h)= (qr"
,qa)
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b, r

iJ*) e, o),= f (9,o,aa;,(tu,,g)l


{Cq,,b,c*)= tf", l.J
5(-q^,4,b)= (a^,*l
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,

tlq4 t,b,b)
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(arz.J
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6(er.,o,Z) Kr.l e,rr.l1 6.nr- qJr"^o" F


l\ -ttu^, tCfu,q,Z)
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Do4lr +hr- csr.ditr cr-g gh61^td be- g ah'g|i d


PDA EO b^ &l*r^^t^itlc ' &t f,i^r' .fk t^'
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li b* \'t- 'Q^'r^A ^{.i6rnl


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u,l c^d cn^dn */al$ rr1 (to,e'z) o ^ 16


ii. @ ' 9r^o^rd ;
li e,^-FI , *o"^ tCqr,a,z) .t'J "^*5.1
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objt u;;VEC' '


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I 93 -tr.r PDA 'oU,tl1z.,n^/,


L=tqnbnl^t,tJ bI ^
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t=ta^bn1^t,r\
rl-7 o"t 4{L
^^rqi'H
S(qro,e,"") =ta,o,^u)
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:till:,'3:t:i;li
t tqr, ,Q., ?.o) . Cq',, L) .

o g.r-t$J [ ( q, ,a,z) l^a*'-<, *t


ty
6Y\r- et
Sh

@ UI^qX tJ c.arr.Jl, c^s,^.t-ldrr llI ftl.^+i+t on


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rin

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D

q &J4.r -.i^^r,& C .

1A PDA Lb oltrpl '14*-&kl l-a4'v3u L(m)=i^\


hl e Cc*a)^ o^A naC.o) = r,rs r'o) A *.i Xj*e c ? ('
ia-

S UP ld,L)
.6 tq", [.. a)
5( % ,\%

A ul' c4n^d b AJ'rg J

4b t^.-J
3
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.t
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o)
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Lqu ,t,g) - Cq, ,4)

fi'ul- c^^,{LN n^ gJ'k1d


h-r*- *Lf Cnr+ C*e
z-eT
h g^h'
fCq-rQrc,*)= C%r,o)

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i 14
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S (4" , b,7) = Ca^ p%)

S ( %, Q, 4)= Ca-, *),, l9.',t)


6 (u,b, a) = L%, baL
t(qo,Q,b)z CqoloL,
E C% ,b , b)z Cu , bb) , C+',gl -
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btz C4tt,9) " - :-
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t! Vl4 t-t+ c-^r..lY b- ; d"*trr^'"^J lt6. c tl
et
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il
ti
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ll

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tl
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l\ tt
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@ru, e-r'th ftv=d: af \l= 5'rt -r
fta cr
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ty
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t|:4.tt)arAS = Caur,&)
et
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@ lwx ; &,b n,, G'it\"^^{


da

glnJr i-.." n
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qn ee v .{-( sl 4b' -tc


L

tr-l Xil t9 Y' h"\ia't


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pt-< .l.rr! klrfFa -^
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CU,o,o46n,eo)

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tr(..a.) Qlo.""t t\^Ll ln Q ntP u6 ,.1 *^fc-.^-.
Q-;
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L.q
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f,-r^*;+i-nr-
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A -aBr! 6 ( q,, ,0,4) : Ct, rGG )
tr4c\ E f*,,o,A) =C
q,,rQ)
B4bBG 8C4r,b, B): Cq/, , E ts;
E+oqB €(qr, ,a,Q)> (atr,EB)
D+4 8Cqr,,Q,P = tq/r,t)
C-:q S(6\r)qrQ) = Cq' ,L)

ty
E (or, , erz.) =
et
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c
da
rin
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t
d L 1,, t Al 'c?, ,(,
() ( ol,,4,d)> Lzt, C)

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q b b cr4at
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t
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bt 2),Q
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ij >l 'l ,lLtr(., 16, %,L


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il-'u rji+b +l-t- 'hra^Jd+\ trn s
(
E(q,o,o,z) = (q" ,az)
t(q,o,b, A) = (-f", AA)
tCq,o,e ,A) = (q, , L)
9ul', No d, *t-c frna n-SiHco

NOT . ,.
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C.6/.4 be. c5.D4&t4d i^ln Frgdl-uh'ct"r
aJ {Aahr'

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