HAL Id: inria-00107767
https://hal.inria.fr/inria-00107767
Submitted on 13 Dec 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
construction de représentations sémantiques pour les Grammaires d’Arbres Adjoints
Sylvain Pogodalla
To cite this version:
Sylvain Pogodalla. Vers un statut de l’arbre de dérivation : exemples de construction de représentations sémantiques pour les Grammaires d’Arbres Adjoints. Actes de la 11ème conférence sur le Traitement Automatique des Langues Naturelles (TALN 2004), 2004, Fès, Maroc. pp.377-386. �inria-00107767�
TALN 2004, Fès, 19–21 avril 2004
! "#$% &'(
Þ
) "&* +,-
.0/1234 +567&'"89& / :# /; %<
#9 = 7'>?89 =A@8
BCEDFEGDIHIJEKIC6LMGNOLMNQPRC6SMTOC6UMV
ÞTOHIDIHINOTUOC<PWFEGXOGC<PWUMC6UMVEGHZY[FEDIHINMT\LMNOSMG]KIC<PW^_GFE`a`bFEHIGC<PWUced_GXMGC<PWd_UOf g NOHITMDhPjikVEDICETOUMFETODQKIF6TONMDIHINOT\lMFEXOHIDISOCEKIKIC<mWnoKIKIC6C<PpDJENOTPpDIGSMHIDICPRSOG]KhcqSODIHIKIHhPpFEDIHINMT\UOC<Po^_GFE`a`bFEHIGC<PWB0FEDIVEf
r
NMGHICEKIKIC<Pod_XPRDIGFEHIDIC<PoCEDLMCEG`bCEDUMC6`bFETOHIsEGCtPpuM`bVEDIGHIvMSOC6KIC6JEFEKIJESOKUMC6KIF6GCELMGV<PpCETMDIFEDIHINOTPpuMTODIFEwMHqvMSOC
xeFEGXMGCyUOVEGHZYOVEz{CEDKIC|JEFEKIJESMK}UMC|KIFyGCELMGV<PRCETODIFEDIHINOT~PRVE`bFETMDIHIvOSMC<m
lMHP0LMFELOCEGPRS
rOr
C<PRDP0F\UOC
ÞTMHqDIHINMTNOG GCECad_U g NOHITOHIT
r
^GFE`b`bFEGUOCEGHZY[FEDIHINMTDIGCEC<P iCwODICETMUOHIT
r
DIlMC
SQPRSMFEKTMNODIHINOTm_DGC<PpSMKIDPGNM`SPpHIT
r
d_XQPRDIGFEJEDoB0FEDIC
r
NOGHIFEK^_GFE`b`bFEGPFETOUCTMFEXOKIC<P iHITFPpuM`b`aCEDqf
GHIJaFEuMi'DIlOCaJENM`bLOSMDIFEDIHqNMTNMXONMDIlDIlOCPRuOTMDIFEJEDIHqJaGCELOGC<PRCETODIFEDIHINMTxeUMCEGHZYkCEUDIGCECEzFETMUDIlOCPRCE`bFETMDIHqJ
GCELMGC<PRCETODIFEDIHINOTm
VE`bFETMDIHqvMSOC<i
r
GFE`a`bFEHIGC<PUQceFEGXOGCyFEU g NMHITODhP i
r
GFE`b`aFEHqGC<PQJEFEDIV
r
NMGHICEKIKIC<P i
λfJEFEKIJESMK
CE`bFETMDIHqJ<P iDqGCEC|FEU g NOHITMHqT
rr
GFE`b`bFEGPjiJEFEDIC
r
NMGHIFEK
r
GFE`a`bFEGP i
λfJEFEKIJESOKISQP
FETQP}KICLMGNOJEC<P PRSQP}UMCJENOTPpDIGSOJEDIHINOTUOCKIFGCELOGV<PpCETMDIFEDIHINOTbPpVE`aFETODIHIvOSMCUQcqSOTMCCwMLOGC<P PRHINOTUOCKIFKIFET
r
SMC
TOFEDISMGCEKIKIC<iQSOTMCFELOLMGNMJElOCHI`bLMNOGDIFETMDICJENOTPRHPRDICF<P PRNOJEHICEGyKIC<PGs
r
KIC<PUOCtJENO`bXMHITOFEHhPRNOTPRuOTODIFEwMHIvOSMC
CED]JECEKIKqC<PUOC\JENO`aXOHITMFEHhPpNMTPRVE`bFETODIHIvMSOC<mbH]UOFETPxqNOTMDqF
r
SOC<i]OMOzKIF\UOV
ÞTMHIDIHqNMTUOSJEFEKIJESOKyPpuMTOf DIFEwOHIvMSOCPRCLOG EDqC`aFEK¡KhceHI`bLMKIFETODIFEDIHINOTiQKqC<PLMGHITOJEHILOC<PPRNOSPpfg FEJECETODhPPpNMTOD¡KIFXMF<PpCUMCTONM`bXOGCESOw
FESODIGC<P]DIGFY[FESMw`aCETOV<PyPRSOGUMC<P]NOG`bFEKIHhPR`bC<PyPRuOTMDqFEwMHIvOSMC<P]LOKISP]VEKIFEXONMGV<P m0¢_NOSP]`bCETMDIHINOTOTMCEGNMTQP]CET
LOGCE`bHICEGyKIHICESKIC<P
r
GFE`a`bFEHIGC<PJEFEDIV
r
NOGHICEKIKIC<Pxq£oFE`bXMC¤i¡O¥¦O§]NONMGD
r
FEDiMO¨MziQLMFEGyKICKIHICET!XOF<PRV
PRSOGKhcelMNO`aNO`bNMGLOlMHhPR`bC|UOC|BSOGGuOf©_NªFEGU6vMSQceCEKIKIC<PQVDIFEXMKIHhPjPRCETMD<CETMDIGC|SOT6JEFEKIJESMK{PRuMTODIFEwOHIvMSOC|KIN
r
HIvOSMC
CEDSOTJEFEKIJESOK_PRVE`bFETMDqHIvMSOC~XOF<PRVPpSMGKIC
λfJFEKIJESMKhm«SOHhP i{KIC<P
r
GFE`b`aFEHqGC<P|©_«^\iFYkCEJtKIC<P|DIGF¬YªFESOw
UOC$xeBNOLMC<PRDqFE¤OC|<®°¯±I²ZiMMOOziNMS£o³^?x FEKIGuO`aLOKIC<iOOMOzm
!"$#% !"&'()' (
*
+,,+ '-./ ')0& 21.3465781.9:;<>=?@.A B)CD EF 4/ AGB$C CH 7JILKM( ('(
*
+,,+ NG'( OPG'-.+/ G' !" QR&-.')0& P
S/ I4&AT J '8&-. USNU ! V8'-. 8: AW8N+6?&X= Y[Z Y&;8\ ]Y_^a`]bA
W'cW' d G'd+/&Nd' ($! VAed/ ^af^<^a=g$h
W )+/=g)h^?^a=^aY&;i%I,jk/+l-.
*
8'-. c8/+AM?&X=YZ Y&;8\;\ ]Ym^a`=<^anflV
' V e+e e/+o'O)!V o T'
ß:e e#pJo /W[--.
*
'q/N rs#tuv: w-.>[-
*
s'-.')0& x1.$!pv'v
Þ* qB$7uI
j ' e/ AJV-.' s o' ) ,y
c
z|{|}~
c
|~
c }|
T
*
qBQb4/+6' v'|#t / &N +v/+[A
*
, o & ,
/6'T+ '6b'6+ RNy
, V M>34G51.T: />T: / AsB$C CFj y
'6:A_B)CCF,)UA[ F9N: m;<=?@|A[ H7JI
AW O ' cc'|#pJ AW
'+ ,,T &w' wV
Þ J
s'/ !A[ N %'-.
+:AV 6vv
*
v +/ ,I
1.5' $UA H7 r'r+N ' rW /,k & ',
W&-.+/O'+|#O>+ , V [AeN> M WO'O&-./ O'O' )+|#%y
Ie , N Jw /,' +-:, eo' & q' y
sN [I
sv N '#pd v '-.+/v' v'+|#% I W-
'-+&N
*
,!V s-. o '
*
U
*
VA
V v '
Þ &[+,o'' w'vV |#% v+N U ! V
T+N c, VTV T'-,
ÞM&-.+/' 'y
#t I KWr' +
ßr Jv, ,w:!x'
* *
k )&'N&
+U! V 1.+/7otd, V 1.
* *
'd ,NyuN
Þ7JAJ
V v' Þ $!I
¡T 6+A G&N G S ,&,A +' q1.' 5 A B)7JA'
*
,y
,
*
/1.46j57JI$¡T &, ,sU2' &3b4G58A$ &
,V ¢>£r1¤[A%B$C CE 7JIt¥M
Þ s$! >oV V s$!p, ss&b' d
): I
KM4Gj 58Ap ,&,
*
+,,w/
*
V 15+'AB$C)D7uA +N '
w ,)'
*
,e'wV e, '&M'-. w ,&,
*
,, !qT
+GNw &V , q #pq )&,
*
,&Iej eq& q'wy
&V|#tQ
• : V(4Gj 5¦ * '('!" * * ,Q§?a=f¨ =p¨p;(=Zim<aY©=^<ªA>V #", l,/ 8/'«+
*
,,AT¬?= f¨ =p¨p;nZ;<+ k
,T&Ne' W+ e/It®&A
* *
G/ 'OG2
,qV q&-.x#p w Qd&-/q' ' |#tI® q[Abd' !
Vers un statut de l’arbre de dérivation : exemples de construction de representations sémantiques pour les Grammaires d’Arbres Adjoints
"!# #$% &('*)+,.-/0132546%&7 &893 :7;<
3 = <!=# = #$% &>'*?@A-+3,0.12549%&3 &89=B C&8#EDGFIH
• #"JC&%K%LI38:#>3>89NMOP8 Q89 R*ST U#K#
U&UV89#U VW# W#&XRW#
Y
WU&UV897WC
#$8#U &ZU&898[U&%&8989 \[C%&U^]^#&_R[ &8#
A`#$%
5MOU &89#
A B && &89#
Ba#7b(89cC7 &8#
T%&3#"#$% :#P L# T%> d3P# >CMOSU& C893!># e#&XR>U# %R
Y
f U&3RUUU&89&89%R#
λg 89 *%&UM #$$%&89&Q$%89 Ch
gi
&SjV lk
i
&SjV mdno5pqr%&<CLs0.+?-30.t$4'uvU
g ! g
BRB&
λg :3C U&>#
=<^%#=Mu C :#
Y
w Bk>A&&Oxpp3m5qy#"# X X"X" K#PB7z&3"%89:#"
λg 89
s0.+?-30.t$4'
Y
"yLX #$%{ *%{:l#L# X XL|UQ }L|U UcC"R|Ub
:C
Y
7# >%
Þ&~89&#$%~#a;<I_U%evMS UQ3%
Þ% &~# >%89
g
R(k `5bO89#^# ^MS :#
xG#C%^bW &Cr&`C^R^#$NM[R##9&
%GWUQ[P"L
(x)GR#G%G&VaB
(x) 3K#$5b*&ld0.4+W+0.t5q
Y f ^89&NMu &
CU #A&%A#89P
λgU #U#~# dCV G#VUI&
g
U~3 #h3A 3
UU |]#U&3$%># %&#&e&:#c89
Þ# X λg C893&C|%
YO
U7&:#c89C$a 3a&e% 7X #
ÞU# YO NMu #U _#U :#>kf & xppqy{lU&89#5b[U&[U&kw &SjA{xppmdqy{&U :#
Y6
&V#
Þ# Xl λg
89# *#V&:#c89V%a
~g
U&8#PkVVC&&xpppqyU\Ra^ % a^:&^U
&{#3# X X
Y
;& &$*%<#$&|U&3%cB&3#B# X X=&:
<89
λgU #U#%89#89h5 5MOU U KU&&\%r#E#dbR# E&EEU :#EU&%MWk#EC&:#c8E%
8(!&:#c89UQUQ((CMO( 3V#( X8989##U e# (#&XR
# {R`%`U :#q
Y
A&= C& &C&3B BU[&${89 $=U%r#[U =&\#
R|&3LU&3&3LU
Y7
r ##y*#E&:#c8|WE&3C dRE&r *%K|#
% &W%89 R\!=# =C% &Wh bR9kX &qyd#$ #h%^%89 R=
&3% U3C&:#!8=U :#
Y
&a#a
Þ&U$aB7I*&3MS&Oh&3#`#U!ek7A&&yxppmdq
Y
;& &$*
U 3&&r%&|| &3#3
Þ$*&3U Y
A Þ~ ¢¡6£¤G¥¦
§*¨y©7ª0,
A 2d+64+'*4@A«3s4l¬4,.)®34'|-3,.@I0.12d4'¯(°7±4+'*4@A«s.4
T(A)¬4'^h
+',t20,'r'25t
A4',¬? Þ+0*-t\² T(A) ::=A|A→ T(A)|T(A)T(A)
°7±4+'*4@A«s.49¬4',.)®34'
t ∈ T(A) ,.4s.'V13254s.49'*)@A«3s.4
→+K±-d3-t®-³,u3-'A¬-+'
t4',Ps$±4+'*4@A«s.4
¬4'^h# 8#U y´r+3,.?
TL(A)¯(°~4'E-2,tµ4'|tµ4+¶0.4l-2
λ·-s.2s'0.@`Ks.4@A4+3,r,)®3?
-«0,2d4s¯
A Þ~ ¸¹£º~»~¼½~¾
9¿LÀ
¾
¿ ¾
9§
½~¦~Á¾
½~¾
¨y©VÂ`+4Ã%X 93&CC^4',P2d+,.t0Ks.4,
Σ =A, C, τÄ|²
• A4',25+|4+'4@A«3s.4B¬4E,.)®34'K-3,.@I0.12d4'\Å
• C4',25+E4+'*4@A«s.4
Þ+30¬4B+',.-+3,.4'\Å
• τ :C → T(A)120-''0.Æ+4BÇE5-12d4B+',.-+3,.4B¬4
C 25+W,.)®4¯
ª0
τ :C → TL(A)´s.-|'0.Æ+-,2dt$4=4',¬0,.4\# C¯
Λ(Σ) Þ !"$#%&'()*+
,) - .///+ ,)0-1"23) 44 '5)/&.
67(&)8(9
( )' (
→1;:<&4 =9'8;>&)*>>?)*+
()'53)*+ @9@8@ &)
A→ B ≡ (!A) B AB 4!"C=DE=FGH3) I :J) )4!C=DDKLM1":J *
ÞN+ ( ,#%,N α/ 0O,, α→β)
P N45N( 4 ( M4Q)'
A
O'R!=&'!$ 0)4 LS!$)M+ ((4N' T+ 4 NT 5
Q)'4 UNV
αβ1
W3X ÞY[Z\Z]YU^0_`
Xa
Z(b[c
XdMefVgihjgMkljjmno=jpqnsritjhgo$uvp kwluvkuvpxnsozymusripo$u
Σ1 =A1, C1, τ1
pgTo$jpNn{ritjh4go$uvpVkwlu'kuvpNnsovy4mu{ripo=u
Σ2=A2, C2, τ2| o=j $6+ L Σ1
#}M Σ2
pnsgTo$jpxyh4riu'p
L=F, Ggip~(~ipN4o$p
• F : A1 → T(A2)p=nsg8o=jpqljgriljkqwrij4gipu5y4uRmgih4griljkpn7gi ypn3hgil7r4o$pn3kp
Σ1
l33p
kpngi ypnriyq~rih4grSnUljnsgiusorgin>OyhusgruUkp
A2
jh$yyp~~ipuh
F mth4~p3pj4gx~'wp$gipjnsrilj
l3l3lu y ri4o$pNkp
F gil4o$n@~pn@gi ypnkp
T(A1)
• G : C1 → Λ(Σ2) pnsgo$jpljgrljkqwrij4gipu5y4uRmgih4griljkpnljnsgihjgipnkp
Σ1
l33pkpn
λ gipu-3pnqljnsgusorgnyhusgrukp
Σ2[
jUh=yy4p~(~ipuh
Gn-ljUp$gipjnsrilj l3l3lu y rio=p
• ~ipn8ljgriljnUkqwrij4gpu y4uRmgih4grljnRljg4lyh4gri~ipnUhp~ihuvp~ihgriljkpgi yht}p
|
/wpnsg
kriuvp
4o$pxyl4o$u,gil4og
c∈C1|G(c) :F(τ1(c)) ~ipgi ypNkp~'wri3h}tpVkp
cpn{gT~'wri3h}tpVk4oUgi ypNkp
c
hjn,~ihUnsorgip
|
ljog(r~rin-puh
L(a)ylo=u F(a)lo G(a)n{orihj4g"~ipNlj4gipgip
W3X ÞY[Z\Z]YO_, ¡¡¢ Z
XJ£
\¤¥]Z X¦¦X
§©¨-\ Z\
XdMeªjp *9J&*)J pnsgo=j
o=hku{ozyq~ipg
G =Σ1,Σ2,L, sl4«U
• Σ1pnsg.o$jp,nsritjhgo$uvp 9 kqwluvku'p@n{ozymusripo$uvp
|
pg Σ2 o=jp,nsritjhgo$uvp,kwluvkuvp,nsovymusripo=u'p
¬
~innRljgsh$yyp~imn
#%)&% N pg
#%)&% N)$'
• L: Σ1 →Σ2
pnsgTo$j~ip$rio=p
• sp=nsgo=jgi yph4gil7rio=pk4oJlh[o~ihriuvphnsgiuhrg
|
h=yyp~im0~ip '5* kp0~ih?tuh33h4riu'p
W3X
ÞY[Z\Z]YO®7_`< Y[¥ ¥
X
¨8 §[¨R\ Z\
X
\©]§}¯
X \ dMe°lrg
G =Σ1,Σ2,L, so$jp<tuh33hriuvp<h4gimtlu{rip~~ip hnsguh4rgip
±
J²
p **N
A(G)pjt}pjkuRmxy4hu
Gpnsgskm Þjr-yhu A(G) = {t∈Λ(Σ1)|t:s}
³
J²
p **V)$'
O(G)pjt}pjku-mxyhu
Gpn{gskm Þjr-y4hu O(G) ={t∈ Λ(Σ2)|∃u∈ A(G)hp t=L(u)}
H3©&> &)4!S) 4.)©)&)O J*O´µ
B P J)' J$#}=&
Nµ:
B
1=23) 4)4&VO)(' )U
A
B
))!$K¶¶KLM1
· )
G = Σ, N, I, A, S ?´"µ B 1 Σ! N! I! A S 5)4 &¸#}'45O> O¹ )xO 6!N O)x)O 6!'4 0xq( 6 6q=
)>)O/' (* >>U*91
GG = Σº%»G ,Σ»'¼{½G ,LG, sG>*O
&*)V4 (9V- )&N5T&)4 NNN90 ¸#%¾
Σ¿%ÀÁÂG / G!$)U Þ(¾
Vers un statut de l’arbre de dérivation : exemples de construction de representations sémantiques pour les Grammaires d’Arbres Adjoints
• AG ={αS, αA|α∈N}
• CG ={cT|T ∈I} ∪ {cT|T ∈A} ∪ {Iα|α∈ N}
T ∈ I cT :γ1A · · ·γmAβ1S · · ·βnS αS α
T γi
βi
!
"#!$%
&
!
T ∈ A! cT :γ1A · · ·γmA β1S · · ·βnS αA αA α
'(
T) γi *! *! βi * ! +$&#! %
!
Iα
,-
αA
Σ.0/13254G - G6 Þ87
• AG:9<; ={τ} τ - = !> ,- $
• C:9<;G # %!
?-
@A!B
(C
u Σ ! & u ,- τ
?-
DAB
3
(C
α % αi : τ · · ·τ
iEGF(HJI
τ -
1 ≤ i ≤ kα+ kα !C $ (KCLM C C
Þ B - !N
B α % G
O
8(
PCQ
4
ÞRPM B !SUTVW! B 5 Þ! &U PX ! ( % Y
&
%-
-
%
4 -
$
Z
$
K[
S]\
'7
• M ,- αS ^! = ,- τ=_ #Y 4 Y (B _ (( - 4 $ ( '`
• M ,- αA ^! = ,- τ τ]=_J Y 4 Y DB _ ( #- ! 4 ba Y
&%
(
&a
CQ c
$
(
$
(
`
• MZ &# ! Iα!(( -
4
:_
! λx.xS
d
efhghi
d
ikjhl0i
d
∗
m
d no
efhghpqpsr
d d
efhtkr(u
d
lhu
d
∗
d no
ghvhjhtkr
m
n!o
n!o
∗ fhghvhtkiklhr(wkwkrJxbruhi
y $
[7*z
M]C
-
M B
y*{}|
~
6
$
(
B
R!%k
-!-
4
(
Þ CL ( 7% 2N(D 1!%k )
=_J Y
4 Y
(B
2
M Þ 7 N c M CLB !YC CL $ ( ( >D 1B
Þ !%k*S% C -
!
#!$%
Q-
^$
NCQ : &^# %
-
M B
Z
!
^
a
(CL λV λN. 2N(V( 1!%k ))S zb a#a
$
( T D&=k%s]
#
1 T - ( :_ $ ( ( D 1 _
!
4
Y
C CQ=
L
Þ X A= - a!(CQ !L % $ (=S { (CL T
a
!(CQ λx. 2x!&6=k%V
CQ
_
( -!
RB
8
(
&#a
(CL
$
P K
>
$
(=S
%
V-
bM]C
-
6M
B _{ | Q
$
Q
S%\
:^
(
b Þ
B
,!-
X
%
(CQ
!((
S
s ¢¡]£¢¤h¥c¡¦¨§©¥¢ª¢¥c£¢¤@«¨¢ª¢«¨§©¥§©¢ª¬¢¢ª¢®R¤¨¯°±¤h¥cª¢²8 ¢£¢¥c³¢¦h´§©¯© ¤h°©¥*µ8¶h·©¬¢¸8¬¤¨¯©«¨¹¢ ¢¡]°©¤¨¥c®Rº¨®R¤¨¥»¡¦h§©¥¢ª¢¥¬¢¢ª¥ ¢¼¢¼¢¡§©®'¤
«¨¢®R®'¤¼¢¦h¡¦h®'½h¯©¡¤h¥"°±¤h¥bª¢²8 ¢£¢¥"¥ ¢¡%°©¤h¥¾¢ ¢¤¨°©¥b§©°*ª]¿kÀU¦h ¢¡¦¼¢¦h¥"£¿k¦h£:Áq¢ª¢«h¯±§©¢ªU£¢¦¨ª¢¥"°©¤¨¥"¤ÃÂ)¤h®'¼¢°©¤Äª¼¢¢ ¡¡¦h§±¯*¥(§±ª¢¢ªU°©¤¨¥
ª¢¤¨ ¢¯©¡¦¨°©§±¥(¤¨¡]¤¨ª°©¤¨ ¢¡]¦¨¼¢¼¢°©§±¾¢ ¢¦hª¯
IαŹ
c
c : A S
c : A S
c! " : A
c " : A
c# :$&% A S ' S
c()(" :$&% A S S ' S
c#" "+**,- :$&% A $.% A
c =L(c)∈Λ(Σ/1032 )
c =λN.N( 1465798: ) : (τ τ)τ
c =λN.N( 1465;=<) : (τ τ)τ
c! " =λx. 2<9>=?< x :τ τ
c " =λx. 2 ?6: x :τ τ
c# =λV.λx.' 2x(V($.% 1;@>=798 )) : (τ τ)τ τ c()(" =λV.λx.λy.' 2x(V($&% 24A5;BCBC8 y)) : (τ τ)τ τ τ c# " "+**,- =λV.λx.V($.% 2x5;@=7<?68EDD98FG8:< ) : (τ τ)(τ τ)
H IJLKMONP6QRSTVU
GG
W XTY J1RZ JE[\GTUVTY]JESTJZP T^T. UA_Z^R1`=a"E=b R1. Y]J .^=1
Iα
^YYc
U Edef ` JYg Yh6Q-ijJ`J k^YYEU ^`Y`JEYijEgUTfJ l l` IY R]U
Λ(Σme/ )nJEYikEUToJ1 l lVI6_ZnU
Λ(Σ/1032 )UT IJ Tp=q
Λ(Σrts )M c# Iuv (c c! ") c("(" Iuv (c c 1)(cc " )
Λ(ΣsZw3x )M
y
z{
|
}~9
|
9
y
| z{
}
|
9
|
|
}
H IJLp=M W Q-ijJVUL1YijE I=Y RZnUE YIYE=UYR"E^YYEU ZU
G
ij YST=STJYij
c#! Iuv (c c 1)TCa"^YRYT=bYijU=a" YIYb^TYc YlTikZCq
TY^ YIYEdtRJZa"`TYR1ikJEJR-YJE YlTikZ
IαSTRRUR1STRijJikSTg^Yc R\GTUa1b R1JZa1IA_U=a" T^T UA_Z^R1dOgR
DZ>:7:79=?68D98<9;-88DZ;?AFG8:<
;&DZ>78:=<9;<79>:j8`D9; ß 4A58 d 6-^GT ß¡ ^¢GYRGtY!JGI EgRJZa" YlTikEUG
αS
O-YJV¢ TRnJa1 YlTijOEnUL1
αA
d6.IROIRJZa" YIYVUVUYR)£ R.Y URRJOU
J
ÞlTYo¤q
¥-^kTjJJkY UT^Rd kJj¢Y
¡
ikfTR"£ h¦"Uk§GYEdnK¨¨K©.MR
G T H ¥V§kqONP
J l lLUa1 YIYLlUYL Y
GEnRZijY¢V TQJ l lEI6_ZnULJZa"¥V§
GGq
¥GJY!]SToJZa" YIYUUYR)t Rªa"E«lY J1ikTRJRZoSTU ]J^ UY¬ik RSTEdT=
t-=&R^RLSTJZa"®TLJTRLUYT¯ TLTRJ T®^ J^TJLUJZa" YIYUYR)Ed^Ea"E1c°cURY
Vers un statut de l’arbre de dérivation : exemples de construction de representations sémantiques pour les Grammaires d’Arbres Adjoints
!"##$% !
Λ(Σ&(' ))(* "+% ,%"- ..
*
%/%0".12."34!15768
*
"
)
"9
*
*
!
*
:,.;<
*
;" =%
*
">?!?@==
)
0"A">;" <
*
:,!
%"
*
"=5
B
C
+D3:+E!
*
% F%0"
*
"G+H3
*
F%+
**
DE+ "JI%
KILI!=K%"MN
*
!2 O%0"7QPSRT
)
*
" UVM<
)
WXXWY
TMEZ[VMH<
)
WXX\]
5_^!`1#+a/20"b%"2-c
*
Þbdfegahji
"ak Ulm,
)(noop
Y
lm q"!$Zrlm,
)
WXX\]
5tsM"8uv<w;"?i;w"3 I!
*
"A=x5
C *
*
tEd e %y+
*
Þz>I2II!"S,SK2",%-I"5yRM,%
)
EI!"E:d
e
1%Ei9= H3
*
12.{}|,~{,};H 11:~;H ,{(
λhl.∃h1l1l2l3v1(h≥l2∧l2 :$ (v1, l3)∧l3: Q (l1, h1)∧h1≥l∧h≥ l1∧l1:8w}? (v1)
∧∃h1l1l2l3v1(h≥l2∧l2: G (v1, l3)∧l3:$J (l1, h1)∧h1 ≥l∧h≥l1 ∧l1 :8J( (v1)
∧h≥ l∧l:8J((( (v1, v1)))
*
ÞE0"EEI"E0"
*
l Ul:8J(( (v1, v1)] %f%"%-I" +EE0"
*
l2
U h1 ≥ l) h1
%",%-I"M
Q (l1, h1)0" * l3)
-$2",%-I"
$(v1, l3)0" l2
]
5 M
)
?!a%",%-I"$
G (v1, l3)
0"
*
l2
U h1 ≥l l3
] 5
EE"3I!",E9#0"E
*
=
*
,12,0"z
Þz ` * Þ
$(x,Q (? (x),f (y,$J (: ? (y),} G¡( (x, y)))))
f (y,$J (: F8 (y),$(x,Q (? (x),} G¡( (x, y)))))
"
)
3
*
!,,9#0"E
*
=",%"`
∀x(? (x)⇒ ∃y(` ? (y)∧} G¡( (x, y)))
∃y(: ? (y)∧ ∀x(? (x)⇒ } G¡( (x, y)))
^
)
"¢"¢!x%
*
¢i"vm¢I!"£#0"£
*
=¢0"9%-
=%If>I!"7d e 5MsM">`I%=%>0"2">I!">Fd e 5M¤("¢I%
)
",8"=%w".% #", .2"
*
! "
Σ¥§¦ = A¥§¦ , C¥§¦ , τ¥§¦ Þ
%"H¨K
• A¥§¦ ={h, l, t, p, e}%z< * J * % * vJ", ) J0" )
2!
*
,,
)
*
=,S, tU
t e2SD=%= * "A=#9Hv9
% 0"EE©Q#"
)
*
"
*
"A=y:E<
* ]¢Y
• C¥ª¦ τ¥ª¦ %t Þ= * E 9"a«a>=90"
Þ"¬9H3=%=
∃l : (l → t) t) ∃h : (h → t) t ∃e : (e → t) t) "? * >"?;##
∃)
z=
*
:"+2J0"
∃P %z"E2!* :, !`% = Þx JH3=%
x* v¢0" ) !"4"4"
) P x 2M%= Þ5a¤J+"9
"H@="¬
)
; ∃xP * " ∃(λx.P) x2z"Ey9E
P5