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'n k "'" okv y y #mk km" k k k l n'mmk" sy syll# "u n"o#q l n"o# 'n k k pk" # l n m"km"y # #k " o " # l ymn kp l m' m " "n kp n"o# 'n #k pk" kmmkn k l ymn kp n "n' m " "nu ¢£¤ ¥¦§¨©ª« ¬ #k n " n n #l ko r m nm k s " npk" k l vn n # m' m"k '#n kkv'm nlkx r l #k""nmk sx lpk"#'"" n q ""o rn o q lwr'" "n' n uk'm' {l m' k ln " npk" k m"n u {l k q k skp lnm m' s n y # n x kx nlkx q pk#'n# k sl nn' #k pk" # ymu r' rq s'
®¯T°T ±*<=A5 ±6,65 ],LV*35 ]56,<8?5A {lkp xl#l #lk#m " r kp xl#l kp r' r n k'n 'nqknm l nk" npk" k q o r' r " u " n l #lk# n k xll" l m' k'm' ymn kp l " npk" k " "o p"" k" m # y # " u {ln #lk# n n#'nn p'"l" n#k u o rl ro l"ln " k nkplo " n k kp m' pk" #l n l " npk" k qx #k n " 's" n xlkn n #n rl nk s "n r n mk m'n k l " npk" k u } yq xkrl #k n " #l r r xl k l' m ' m #y kpn n l ² ³ "p"k" # p"k uu uu ´ qpk" n #l n n " jr'" ~q p"k uuuk " o yq uuq rxl rl #l mm y n l #l l o # y k sy n " n jr'" #kmkn m " r l" # kp #k n " sy ! #l q pk"kp #kmkn n # nn #l n jr'" u j yq x rl l k j n x n's# nn kp jr'" u
®¯TµT ±6,65 ],LV*35 ]56,<8?5A [*6V <>A6*=A5 +6,)6 +6,65+
®¯T¶T ±6,65 ],LV*35 ]56,<8?5A [*6V <,3?,68)7 +6,)6 +6,65+
®¯T·T ;8<=8+*65 ±6,65 ],LV*35 ]56,<8?5A
{l &'nk nq l q kn lxl " npk" k x" pk" k n #k pk" r k jr'" n xk"v k n #k pk" r k ln o " k n¸
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w k n x" nkxl r pk" n' k n xl" #"knn ³k ³ "p" #n x" #kk u !zj ~u y l n "k '# l kk kp q m # lm #vp # l n #k kst#n n p"k # nnn p"k |" rnu {ln "#kr nn l #" n r s' # kp k n nqn r xl#l "p" # kl" k nln " 'o yq y kx s #k n " k nu kx o"q ln on 'n xlk' w" kp k q n # x # k k r" s n r r' " l kst#n xl x mknnnn ym #k sy m #v ru Íyk kp ln #k o k nq l" v " syxk!Ìq r " n k mm"k #ln knk w r #k #m k u {l w"nq l nr # nn n s r# nn "kk k kst#n pk" l k q xl"sy lm"l mn k " #l s l'n #k nnn kp l n #n kp l #k sy k" p"k kst#u kxo"q nlnn #kk kn k xk"v n'#ll n# nk n kp k n xl#l rn #vk" k n n r kpq"kkpk" q # nn #k r m q#k sk" o m"k#nnn~
u{l " o k" r " mm"k #lq l k o n !zj ~u qn k w k nt'n n kp kst#nun { v r ln n#k w k q l ksok'n #lk# pk" l ym kp k l n kp "l ro kst# ymn l #k kst#nu {l n kp n'#l w k l kp n#k u ¢£Î ÄÈ©ÆÂÏ Æ ÊËëªÐÑÇÆÒ«Â ¥ÂÏÆ««ÇÆÂÏ {l mm # k kp ym r k "o r " r n n 's" kp o nu w kr" o q r' rn l kp l m' m"km"n m k" k n k "s"r " r s " nk sk' l ymn kst#n l ly xl l k nu jk" ln o kp r" ' "yq kst# s n mm"k #l ks"k " ym r nm"nm#oq m"ks s y k" '" mm"km" u j"k l" n nk k " nk sk' l ymn kpk "p #n l sy l " npk" k nq m"kr" nq "mknk"n kl" " n"o#nu } n ln o l mm"km" ym nyn nlk' kx 'n kk " nk sk' nlmknns #k n"'#k kpl#kl" nynn p"k l n"o#n o s 'nu¬l k w k n l sy ln n"o#n '" "n kp mm"k #lq l ymnn # kp llnkst#n l ly ##mq x "r' l ln n k n"o#n 'o y ##m k n n m'q k o r kst#nun s nl l n"o#n rl ##m m"k '# k nq pk kxn l ly nlk' nm#py ymn nkpk" ln k nuj'"l"k"ql o r n s nl ln ym # " k nq 'np' k w n # pk" n'sn' s y l kxn l k k ' mknns s y n "'nq xl n ' "n u nn'" r l l jk"n"o#n "#o k n xlkn ly k k l n m n" npk" k n#"s nn#k ~ukp# ls k n ko " n ##m m q n #l n m'q nlk' ##m y m"ko k mk l " npk" k mn #k k nlmknns q k l n kl mknns u
Ó ÔefÕÖ ×ØÙÕÚ bf ÔefÕÖ ×ØÙÕ ÛgÜÚcicgcÜiÖicØ } #'nnlnln#k x m"ko nm n"'#'"ympk" ylsymn'sn' kp k pk" kl"u n #k k n ' " xl#l k k {ln # ' n ynn #nn "y kp l m # kp k k p' #k ym r 'mk kst# ymln rq l nk n pk" kst# ym r #k""# y x #k u " "u ¬ k n" l mm # k kp k ymn 'n r l m m"n É£¤ ÊËëª ÄÈ©«¿ {l m"ok'n n#k w n kxo"q k ymln nnl w k n kp kst#s n ymnk pk""#k q l kst#n #k k u l kp r' rnq k ymnxl" n " l" "r x k" npk" k k" k s n kp m"kr" r "#k s l k " " r ymnu{l"pk"qx k" k " w !zjk'" k ym'mk k" s n# yu k xl n"'#'"n k x l o¸ "#k kst# y n !zj # nnu ¬l " '" k ym nynnq n'#l n
q n'rrnn l !zj ym nn knr '" l n r' rq l r n u# nnq !zj n nkl r kp nm# # nu # u ' s k# nnnm#py sl ok'"q !zj # nn¬n l"pk" p # k"#k krk'n k ym l k ym nyn " k kryu k'"n onl k ly w #k u k ym n n kp !zj # nnn q kp #k'"nq l "p" #n } l m m"n k n#k ~uqnlkx l k ymu "&'" pk" k y k'" " npk" k n nn # l wr'" } p #q l nr w# sy |" # k ymn m #v rnu k n n l n"'#'" r m"ko m #v rn sx " k nlmn sx É£¢ ÊËëªÐÄÈ©« ÝÅ«½ÞÆÂÏ " xl #k k n y k pk"k ymquß' unnm yq kp kst# #lymnqs #k n " #k pk" q k" n'sn' s q kl"¸ kst# ym lk "&'" n 'n s ²' "nkk ³ sy l # nu " yq ln "'" n n' k kp kst# ym #k pk" #u {l|# m"n # kp " k nlmnq xl#lo" pk"q º»¼«½¾ÐÄÈ©« ÝËÂàËǨ§Â½« w sx # nnn l n k l ko" mm"k #l k l ym r kp#k n "n kst#nu {l n"'#'" nkp '' y kst# ym " nm "lkpn u } qlyp k k " k nlm m "p" #nq k |" p' y p"kn"k r" l m"km"n n kp#kk y kst# sx k" nynnu{l" nqkp #k'"nq m"o # #y# # m #n l #k pk" # kpxk# nnnu jk" m q #k n " # nn # nn ~u " k nlm q #k nn r kp "p" #n ~q xl kl" jk" # nn á k s #k n " n'sym kp q 'n m "#m " k nlm á
xl # nnkp~áál nu n'sym kp ~q xl#l p # m n k l k"r #km "nk l n s " y kpm"n
q l" "s n y#k q mknns " r r mm"k #ln klln#'"" y ym #k pk" # kst# ymn k p"k n m" k mm"k #l s n k n's# nn s n #k pk" #q o q kkn"'#'" #k pk" #u n npk" nkkm" k m"n "'"
qymn ln 'nm"kms n'" l l #ko " # "y ymn |" #n #k " o " # pk" m " "k ymn "' n v'n r kn'sn'mk ##k' l n"'#'" n'#l n ' m #n nnk# k n kxo"q o"n n'sn'mk "nm#o yu k 'n ln mm"k #ln xl l ym r sk n #k #k kp ks t#nq l" " k "&'" n 'n xl#l k k mm " xl "' n o ' r kst#k ym #k pk" #kp lnk k u m#w# yq l" nnnn r " #" m" r l m"n"o k y kp # nnn xl #k pk" # {ln "' n " kn o "n' kn n'#lu n"okp " k nlmnu " k nlm y" k nlm k s n nw sy k s k n nw "osy" k nlmu ~u " yq k "o y "o " k nlmu o r nnnn r ln #k n" ql #lk# " nkkm n k n ok k xl#l rk"l k 'nn xl kst# ym #k pk" #u #k p'n r k'" m n sy 'n r k nk #l &'nq x x m"k# 'n r l n"'#'" #k pk" # m"kmkn
q xl mm"km" nk n pk" l sko #k n" u n r k'" ykst# ym #k pk" # "' ql &'n ÊËëªÐÄÈ©« ÝËÂàËǨ§Â½« k kp xll" "&'" k ym s n nw sy m"ko k ym n#k pk" " kst# sy #l#v r xll" pk" #l "&'" kst# ymq l" nn ymk k l m"ko ymu pk" ok r "#o w k } n o"y mk" l" l " nk kpm"ko k k ymu } ymqm "#' "q "&'" r l l l" #l n kst# ym n kp #l l x k k n # kst# ymu ' k" nm yq l" n l |" # sx l sn # kp l kst# kp ro ym k sn # kp l kst#á n ym k á n k ymul{l{" nk k ym kp n #l xlk' " nk n xk' {lnn #k # nnu |" # mknnxl k m"ks n pym rq x " xl s#k l k kp " npk" pk" k n k" m"kr" n pn s' y m"ks # y # y " r lk'm' ym kpk k 'n r "#k q k"{ln pk" m"ks n r' r l " n n m' k" ymn 'n r p" #u " n#'nn n#k u É£É Ñ«¾§Æª¿ §Âà ѫ¨Ë¿¾Ç§¾ÆË {l mm"k #l n r k "n sy lpk"pk kx r nmn ym #k pk" # n#'nn sko y s n'
jk" #lymn# nn kst# ym k l "&'" k n"'#'" ymq w #k pk" # #k pk" â kst# l m"ko ymu n r p"k
q ln n l #l km" k k lk "&'" # nnk "'" 'n symq n nw sy #k pk" km" k ##k" r #ko " # #k " o " # k m " " ymn mm"km" n'sn'mk n kp ' m #n #l m"km"y k lk "&'" # nnk ymq 'n sn'sn'mk n nw syk ' m #yq #k pk" m"km"y ##k" r #ko " # # â n#"s sko#k pk" m"ko ymn xl#l ok l y "' n l pk" #l l "&'" â n'" k #k pk" ym # nn l m"ko k k ymuymq l" " n n !k" pk" yq #k pk" # kppk kxnu m"ko k ym k "&'" k ym y s w n j"nqxq n s nl n'#l l l kst# ym #k pk" # " k q À q ã ym #ko " #q À"'" ' m #y n'sn'mk q "'" ym À ã m " " ymm " " #k " o " #q n'sn'm ' m #y k o"n À m"km"y ymã m"km"y #ko " #q' m #y n'sn'mk q •
•
M Tp
M Tr
image(M Tr .types →
M Tp .types)
∀Cp : Class ∈ M Tp ∀Cr : Class ∈ M Tr Cp ∈ image(Cr )⇐⇒ ∀Or : Operation ∈ Cr .allOperations() ∃Op : Operation ∈Cp .allOperations() Op .name = Or .name Op .type ≤ Or .type Op .multiplicity ⊆ Or .multipicity
∀P ar : P arameter ∈ Or .ownedP arameter ∃P ap : P arameter ∈ Or .ownedP arameter P ar .type ≤ P ap .type P ar .multiplicity ⊆ P ap .multipicity
∀P rr : P roperty ∈ Cr .allP roperties() ∃P rp : P roperty ∈ Cp .allP roperties() P rp .type ≤ P rr .type P rp .multiplicity ⊆ P rr .multipicity
o r n s nl ln " k skoq sy n'" r l q #l#v l y #k n" n n#"s #l "&'" À À # nn l n #k pk" À "o m"km"n " n nw sy "o m"km"n P rr .isReadOnly = f alse ⇒ P rp .isReadOnly = f alse
image(M Tr .types → M Tp .types)
∀Cr ∈ M Tr image(Cr ) 6= ∅ ∀Cr ∈ M Tr ,∀Pr ∈ Cr .allP roperties() Pr .type = Cr ⇒ image(Pr .type) = image(Cr )
k "o m"km"n " n nw sy k "o m"km"n mm y rlln l m " k k n ks k nmn ym k#k pk" # nlkx m"ko { s u n#k ~uq x ±*<=A5 ]>A6Y±6 ],3?Y±6 ;8<= K*3,A L8398)<+ 68 ±*<=A5 -K*Z>)5 ä: åG± åG± .æ .æ åG± ]>A 6 *=A5Y±6,)6 -K*Z>)5 .æ åG± .æ .æ .æ F: ],3?,68)7Y±6,)6 -K*Z>)5 åG± åG± åG± .æ åG± B: 65 -K*Z>)5 åG± .æ åG± åG± E: C: åG± U*6;8<=8+* VYK*3,A ±6,65+ åG± åG± .æ .æ åG± ë,)*,36+ Y -K*Z>)5 çRNèé °T ]8?5A ê7=5 ;8398)<,3L5 /5A,6*83 98) ±6,65 ],LV*35 Pr .type 6= Cr ⇒ image(Pr .type) ∩ image(Cr ) = ∅
→
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Σ¤ ÊËëª ÄÈ©« ð«ñ«½¾ÆË #k n k sk'kp lxl vyp '"n p '"nkpm"ko n k "o r " ru {l kp s y k nv kst# kxn pk" l #" k r "# kk n l ! yxk"vn"o#n "r " nn kp n l k p"kn" % k xl#l l kst# n" % k q x n n u n'#l !Ì ' k "mknk"nq #k r " k"nq " y v no 'n kp kst# "#k u o rkp "#k u kp k {l ymq n'n"# " y #nn "y k #k n " l m"ks k ym nq p m"ko n k k n"o#q kp nlk' s mknns k#k nu " l ym kp l k sy kkv r l ymn ln kst#n l n#'nn q lkp #' y xl ym k xl "#k n l |" # s x l m"n # kst# kp ro k l m"n # kp l kst# ym l k án ymu {ln m"ks vn mknns k
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