A new intrinsic characterization of the principal type schemes

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(1)A new intrinsic characterization of the principal type schemes Eric Duquesne, Jacques van de Wiele. To cite this version: Eric Duquesne, Jacques van de Wiele. A new intrinsic characterization of the principal type schemes. [Research Report] RR-2416, INRIA. 1995. �inria-00074259�. HAL Id: inria-00074259 https://hal.inria.fr/inria-00074259 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published 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..

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(398) 7 \4./A!$9;&% F« R e KoX!

(399) $

(400) ;&* G ,A %9!!.A « @R -eF@

(401) &% B !*¢,

(402) } - zT Q~ 2 ] + - zT[L ~ 2 ]

(403) - zT ~ 2 K~ 2 ~ 2 K~ 2 6Ko\".8 = % ' \X%* ,G$+ \/;#= ¤,&% B+ O;# \#o

(404) $ ¤,&%

(405) '&

(406) ! !! 1 K

(407) [:( yG #= \7#!

(408) =,!G. *)X #-&(

(409) !: ; #= ,& ,- 1 zT-S !~ G2 ;#= %X \~ +

(410) 6KoS s.8! = % 7 %X! R

(411) z&

(412) X #= ,&% [! ¤ ( R$+ \ !! - dT6SR ~ M l ~ t ~ t ~ t p%r ~ M ~ t ~ M ~ X] t ~ ] 0 6K 8.8 ' \ K \-!W* ,8$+ \;#' ,& !

(413) RB+ 4;#' \" !8 ,&

(414) K&

(415) !

(416) - % _KIKSM36TJ_Q<0GJNOG !

(417) ;9

(418) - % BE37UtBEAODFGJNO37U :

(419) 9 0!! - CT6SR ~ M l ~ M ~ M ~ M ~ M ~ t `~ X] t ~ ] 0 6K .8! = % 7 %X!W* ,yB + \g;# ,& !

(420) 8$+ \g;# \/ 98I ,&

(421) R&(

(422) !: ; !

(423) \ _KIKSt37TJ_F<kGJNOG :

(424) 9 !

(425) $ % BE37UtBEAODFG4NW37U !

(426) 9 0!! CkT ~ j] t *~ s] 0 '3 SR ~ t l ~ t ~ t ~ M p%r ~ t ~ M ~ M\5 6K ".8! = % 7 % \ 'Kos!

(427) 8$+ \/ #A ,&

(428) : 4$+ \$;#- \$: ! _IKI SM36 T4,_F&<0GJ NOG

(429) z&

(430) BE 36! Ut #B-AWDQ \GJNO36$U , & !! - C0T ~ b] M *~ >] 0 '3 SR ~ M l ~ t ~ M ~ M ~ t ~ M\5 6K ".8! = % 7 % _IKSM36T4_F<0GJNOG \ BE36UtBAWDQGJNO36U 'Kos!

(431) 8$+ \/ #A ,&

(432) : 4$+ \$;#- \$¦9O ,&% !

(433) '&(

(434) !\: ; ! ;#- %- ,&% !! K

(435) [! !A #7 %7,!. *)4 #z&(

(436) !: ;- #7 ,& -8d #-T¬ \~ =M \

(437) 6K~ to\G./!¬ % z %O R

(438) &(

(439) !\: ;O #- ,&% [:( O ¤ (. B+ !! . . . . . . . . . .

(440) .

(441) . . . . . . . . . . .

(442) .

(443) . . . . . . . . . . . . . <. . . . . . . . . . ". $#. . &. &')(. !. %#. &#. . . . . . . * +. + ,#. + #. + -#. + #. + #. + #. + ,#. + *#. + #. +. +. ! #. +. . . .+. + ,#. + ,#. + -#. + #. ! #. +. . . +. +. / #. +. "'0(. + !#. + $#. + !#. + %#. + %#. + %#. +. + 5#. + 6#. + 7#. + 2#. +. 1. . 2+. +. 3 4#. +. &')( 1. 98 * +. + 4':(<;. ;. §H§ »q¯0§w§¼ÈÊEÇÏ°. +. + 5#.

(444) z %( !j[ X* . dN. jY<b d 0 ¬ ^ *<*[:( !-;#' \,!. !* 4 #w&

(445) 4;#' ,& <y;#z %9!!.A jQRVdiQR dN p ¬ p4: ^ \&

(446) p%r! S O;#7 %^#

(447) R,!.G!*) #z&

(448) ! ;#. ,& I J T ¤zp A,!.G!* A;#^# ¤\!s;#- ¤,&% ~8T:^ p -* +dT¬ ~+M4' S~J ~+MJ 6Ko\X.8! 7 % K %z&

(449) .= J ;#R \!

(450) ;9 + #7 ,& ¬ O;# -I ,& S ! p -* +dT¬ ~ +M4 ' S~ ~+MJ oX./ R \: q \*¢\! p #7 \'!

(451) ;9 + ;#R ¤,&% ¬ ¦A;#7 ¤,&% S ! - qT+CT3 S-~ 2s } ¬ ~ +tb "]_J p p 5 ' F~ 2^ ]!+ }(} - qT+CT3 S-~ 2s ¬ ~ +tb "] 5'L[~ 2^ ]!p + }%- qT+CT3 S-~ 2s ¬ ~ +tb Q~ 2^ ]!+ 5' "]>J p }- qT+CT3 S-~ 2s ¬ ~ +tb L[~ 2^ ]!+ 5 ':s] ; \":9:. jY<b d 0>[$#^j!.7&* *¢," \G*¢ !

(452) * 4y9;&% = % ?* <4' \ p%r ?* <4y

(453) !.7&* * ,X[$#^ ,= %O:9:. hQVR d6d73R nd 0 ! } -&zT ~ Q~ 2J% ' K~ 2 ; g:9:\!.[$#^X \ ?* <4' q&(

(454) = %g ¤,&%X;#8 \-&(

(455) ? .= \= !

(456) ! * ,8 #- \&

(457) .= #O ?* 4O4( #K9[ 8SF14NW371J?N ![ ©*<zNOAOAt37UFAOI=BE36UFG4NC\K<01 ? #

(458) SF1J3K3x 57198SQ_wRKTJ_t8[TNOGSF1J3K3x2561E8SF_zNOTJ_;UF3 l

(459) b}AONW*U J {Kq 2 t_ } .-b LM36T4TJ37: 6

(460) ¤& 2TJ37S ! ;#y¥[O \G9

(461) .= ¤,";#= %y:K &%! &

(462) & !^ ! .- - _KIKSM36TJ_Q<0GJNOG

(463) & BE36UtBAWDQGJNO36U ! =&

(464) ;#=:

(465) &%bX! :gK:8 &

(466) & : !. ! . &%! O '* <4 !

(467) #

(468) ;p

(469) ! ¦$!b&&

(470) 9BE!DQ T}./bx:1J<0 ;<&8

(471) SQSF;#1J-3Y!F

(472) NO:&W8[ TJ< SF1J%3K3[Gx GJ%T41JDt BET4DF1J< 8SFSF143YFNW:8T4<ZSF1433[x GJT41JDtBTJDF14< ! \

(473) -¦$( l ?*¢ 4 ! \

(474) $= ,&: % < ! ? #!

(475) .= * g$!(*¢[a;# I !

(476) !

(477) R BEDFTbx14<0<SF1433[xG4TJ14DtBETJDQ1J< !

(478) SF1433[xG4TJ14DtBETJDQ1J< #!

(479) z%!

(480) ! ¦ ? #

(481) ! &&

(482) :9:<./: ; &(

(483) #-

(484) %

(485) -^¦ X p%r ?*¢ 4 ;p .

(486) ~

(487) T 2 Os&&

(488) 9! ./: ;&

(489) ;#- ¤

(490) o

(491) 7#']tf E Ku R ? #!

(492) .= * h !

(493) #7] f E

(494) û 4( 4 ?% !

(495) ho s::

(496) , tE 0# Rq[ %'#* * ^ "!

(497) ! 7~ 2=E f T h 7~ 2

(498) ] # y ? #

(499) .=o*I 7~ 2^

(500) ] # =? #!

(501) .= * 8!

(502) = =? #

(503) .O * qA ~ % T Å0T ~ Å0T ~ T 'E 0#? f o T [h qK j^ * *8^

(504) oT ! .

(505) & ¤B !* , oO

(506) ;: ¤\!G /

(507) ,8

(508) * : ¤\! ! 7# ^* zT _E 7# t %

(509) X9:¦ \/ !

(510) ;9 %" % 7 %X!

(511) ;: ¤a[x &%! \X . %O

(512) !s[g [O! + 9&*¢ ;* , 8. . . +. . +. . . . . . . . +. . +. +. M »¾µÄ.

(513)

(514)

(515)

(516) !" #$ %'&(

(517) )&%!*+ ,&%-./ . !. . . . #. . . d0. . # # 4545 4 ! 'R \ TJ1E8UFG4NOTJNOg6<BEAO36G4DF1J< # 8 O)w % T4198UQGJNOTJNOg6<8Ut\;14< t<EFNOg6< BAW37GJDF14< ;# n*rQq .-y %

(518) * ! ¦A:^#!* *!KK#!

(519) [y*¢ 4 w # ! ? S7 ?*¢ 4 ! / ? ?* 4 ! V V !# r ? ?* < 4 ! V V r T r ? ?* < 4 # ! .- - "[#

(520) .8!* ¦: ¤\! # \ ! ;# %8&(

(521) : x[$ #^%¦ ¤ "[j ! !*[!Oq,X <0:8[13J -$K#!

(522) A ![ * p8 } = NOGZ8G4TJ1JNCBET361E\K<01JNOUF514<0AC8T4NW37U#~TJ_t8[TNWGYR

(523) ~ +kR7x361Z8[AOA E 0#

(524) zNOT4_571J<8[TJ<0G4TZ<0AO<0:;<0UKT * p8 G 361Z8UKIG4DtB4_#GJDFLQ56198[SF_wRQNµx NOG8SF1J<0:;NOGJ<Z3[x TJ_F< b}AWNOUJ)R7TJ_F<kU ) n*rQq ( #X!>&[&(

(525) 9! .8 -&(

(526) #= ¤

(527) o

(528) A B #q !(! ! ' %b \X* ? O!

(529) A!%*¢, ? #!

(530) .= * :$9;&% I oX$

(531) =? #!

(532) .= * C $*¢\! O \ !

(533) R* ./ I;#- %

(534) * ! %=./* * 4*.8 X # !

(535) A %-&(

(536) .O ;#= % ?* < 48! \!* ! #= \ : : %!* *¢, p%r ?* < 4 ;p BEDFTbx14<0<8SFSF143YFNW:8T4<ZSF1433[x UF<0TzNOTJ_ 8 371^8 bJBE37UtBEAODFGJNO37U !

(537) 8SKb SF1J3YFNO:8[TJ<

(538) SF1J3K3[xwUF<0T

(539) zNWT4_=8 361

(540) 8 bB36UtBEAODFG4NO36U #!

(541) '%!

(542) ! 4G \? #

(543) ! &&

(544) :9:<./: ; &

(545) ;#X

(546) %

(547) G o> B #q ! ^¦ ¥ ®

(548) " =?!*