Publicações do PESC Fork Arrow Logic: Axiomatization and Completeness
15
0
0
Texto
(2) !" #$ #&%(')$*+!,- ,"#,/. . 0213&1 415687689;:=< 6?>!@BA31 C 1<D6&4 E68:GFHB>I@JAC 1 K1MLN1 OP68Q=RB>!RS@UT?A LN13&10V1DOP68Q=RB>!RS@WYX1 C 1DOZ:=HS7H[@U\?1 ]/^_a`cb8dfef_hgBiSgBbjkbfgSb8d!i[l/gSmonZ_hmpgSbrqDic^NbU_ad!mU@ stmc^ uv_ w yhx z _hi{]/^_a`cb8dfef_hgBiSgBb}|Pi[uM[xm l~_ z igBmrnZ_hmgSbrq;i[^Mb8_ad!m8T ]"^_a`cbUdfe_hgSiBgSbj/bfgSb8d!icljlDr_a^NbU^eUb\ 68 H[:=Q?[B; /BJJND[" S ; ¡¢£f¤f¥U¦J§¤ ¨J©8ª«¬8ª®ª©¯±°~©?²³~´µ³~¶·¬8¸{¹!ºS»¹¸J¶®³~©¸V©?¼Z¬Uª®ª©U¯½°©?²³~´}¯³¾»¿{¬ÁÀJ³~¸;¬Uª®ÂÃ&©[ÄJ¬8° ©?ÅD¹ªI¬8»©8ª´¬8°~°¹fļ=©?ª«DÆ;ª¹f°¬U»¹Äo»©¼Ç©8ª«·¬?°~²?¹fÀBªI¬8¶t¬?¶¬8ª®ª©¯È°~©?²³~´Z³~¶´f©¸B¸J¹f´»¹fÄr»©ª¹f°¬8»³~©¸J¬?° ¬8°~²¹fÀSªI¬?¶fÉËÊ}¹oÅSª¹f¶®¹f¸c»¬?¸Ë¬8ºS³~©Ã¬U»³Ìf¬8»³~©¸Ë¬?¸;ÄͬΪ³~ÅB«¹o¶®¹fì8¸c»³´¶Ï¼Ç©8ª&»¿J³~¶&°~©²³~´Ð¬8¸;Ä ÅSª©Uѹ³¾»¶¶®©ÒJ¸JÄB¸B¹f¶®¶ ¬?¸;ÄÓ´f©Ã&ÅB°~¹»¹f¸J¹¶®¶ª¹¶®ÒJ°¾»É ÔÏÕ!Ö8×/Ø?Ù®Ú8ÛfÜ ¬8ª®ª©¯Ý°~©?²³~´ÆJ¼=©?ª«r¬?°~²¹ÀBªI¬SÉ Þ. ß-àoá âPãÐäæåµçá è8ãrà. éê7JF!:=QMF!ë 6Ï>I6?9S687JF:G6>8ABoRD< HSQ Q=RSìB:=íêîHB> íURB7>!:=<D6?E!6<oF!ë 6ÏQ=RSìS:ÇítRSï-:G7JF!6?7>!:GRB7H[QMíURS7 íU68ð F> >IñífëÐHB>P7 6íU6?>>!:FòBASðMRB>>I:=ó :=QG:GFòSAJH[7<·óM68Q=:G68ïAB·RSF!:=9H[F!6<··HS:G7QGòoó;òÓð ë :=Q=RB>!RSð ë :Çí8HSQíURB7D íU68E7>?1tôë 6ÓE6?í8:GðM6&F!R<D6Uõ76ÓH·RD< H[Q/QGRBìS:Çí&íURSñQ=<ÁóM6ìB:G9B687æHS>tïöRSQ=QGRcîê>?1÷øúùë R;RJ>I6 F!ë 6:G7JF!6?7>!:GRB7H[QíURS7 íU68ð F>?1ÁûBøüý;ð H[7<þF!ë6pQÇH[7 ìBñH[ìB6R[ïêíUQÇHS>>I:Çí8HSQ >!687JF!6?7BF:=HSQ Q=RSìB:=í óJòVHB< <D:=7 ìË7 68îÿoRD< HSQtíURS77 6?íUF!:=9S6?>? 1 Bø·ùRS7 >FE!ñíUF· H E:Gð B6}>!68HS7BF:=í?>ïöRBEoF!ë :Ç> Q=HS7 ìSñHSìS6BAó;ò)ífëRJRJ>I:=7 ì2H[7HSð ð ERSð E:ÇHcF!6<{7R[F!:=RS7ÈRSïÏïöEfH[·6BA:1 6S1=AH2>!6UFR[ï&îRBE!QÇ< > F!RSìB6UFë 68Eoît:Fë)HBí8íU6>!>!:=ó :GQ=:GFòþE68QÇHcF:GRB7>ÓóM6UFî686?7VîRSEQ=< >? 1 Jø·ùë R;RB>!6p>IRB·6HcýD:=RS> F!ëH[FòBRSñFë :=7 pí8HSðDF!ñE!6úF!ë 6·RD< H[Q=:F:G6>òSRSñH[E6Z:=7JF!68E6?>IF!6<:=7-1 SøCERc9S6tFëHcFtòBRSñ E HcýD:GRBHcF!:Çí8>:=>>IRBñ 7<H[7 <íURS·ð Q=6UF6êît:GF!ëÐE6?>!ð 6íFFR&F!ë6ú:=7BF687< 6?<Ð>!68H[7JF:=í?>81 K Q=R[F R[ï E!6>I6H[EfífëÐîHB>tíURB7<DñíUF!6?<ît:GF!ë :=7µF!ë :Ç>ïöEfH[·68îRS E LD68 ì
(3) D÷ 1 êRcîHS< HòD>?A ïöEfH[·6>ÏHSE!6í8RS7>!:=< 68E6?<ÍHB>E!6?Q=H[F!:=RS7HSQP>FE!ñíUF!ñ E6?>HS7<Í·RD< HSQQGRBìS:Çí8> H[E6ZïöRBE!HSQ-Q=HS7 ìSñ H[ìS6>F!RÐE6?HB>IRB7H[óMRSñ Fú>IñífëÁ>IF!EñíFñ E6?>?1ôë 6&7 6?î E!6íU:=ð 6FRó ñ :=Q=< Hþ·RD< HSQtQGRBìS:Çí:Ç>ÐHB>ÓïöRBQGQ=Rcîê>?1 ÷øùë R;RB>!6}òBRSñ E>IF!EñíFñ E6}RBEÐíUQÇHS>>·R[ï>FE!ñíUF!ñ E6?>?1 ûSøÐô"H B6þH{oRD< HSQQ=HS7 ìSñHSìS6æîtë68E6þ>!687JF!6?7BF:=HSQZQ=6UF!F!6?E>}H[7<oRD< HSQG:GF!:=6?>µHSE!6æñ >I6<A E!6>IðM6?íUF!:=9S68Q=òSA F!RpFHSQ ÁH[óMRSñ FúF!ë6o>!ñ ó>!6UFf>ZHS7<ÁE68QÇHcF!:=RS7 >êR[ïPFë 6r>IF!EñíUF!ñ E6?>?1ÏLJF68ð> F! R µH[E6·6?>>I6?7JF!:ÇH[Q=QGòÍHB>:G7ËFë 6ÐRSQÇ<ËE!6íU:=ð 6B1L;R AkRS76·HòæF!ë :=7 æFëHcFrî6ëH9B6r7R[F <D68ðHSEIF6?<æïöE!RB F!ë 6·RSE:=ìS:=7H[Q"E!6íU:=ð 6BAkHS>ZFë 6oõ7H[Q E6?>!ñ QGFÏE68H[:=7>ZF!ë6·>H[·6B 1 Zñ :GF!6 RS7}F!ë 6ríURS7JFEHSE!òBAJE6?>!6?HSEífë68Ef>8AD>!ñífëÁHS>úLN1 ·1ôë RSHB>IRB7-AX 1 9cH[7Á5687JF!ë 6?µA H[7 < Ó1 LDH[ë Q J9;:=>IF?Aó HS>!6?<2RB7VF!ë:=>·7 6?î±ïöEfH[·68îRS E NA"ë H9S6pðE!Rc9B6?<FëHcF··R;<H[QQGRBìS:ÇíÐ:Ç>8A :G7 ïhHSíFA H·9B68EòÐð Rcî68E!ïöñ QïöEfH[ìB·687JFêR[ïP>I6íURB7<}RSEf<D68EtQ=RSìB:=íS 1 ®7µF!ë :Ç>êîHòÐRB7 6&RSóDFfH[:=7>êH ïöRSE·HSQG:Ç>! F!ëH[FÏëHB>>IRBo6o7 :ÇíU6··6UFfH[ð ERSðM68E!F!:=6?>ÏH[7<Ëí8HS7ÍóM6·ñ>I6<æ:=7Ë>!ðM6?íU:Gõ í?HcF!:=RS7 HS>Hp768î RBðDF!:=RS7-ARSF!ë 6?EÏF!ëHS7æõEf>FRSEf<D6?EZQ=RSìB:=íS1K ìB687 6?EHSQ">!ñ E9S6?òRSï F!ë:=>Ï9;:G6?î R[ï oRD< HSQQGRBìS:Çíí8H[7}óM6ïöRSñ 7<}:= 7 53-O ! " 1 #r1cOP68768$H OP6?%7 &÷ H[ð ð Q=:=6?<ÓF!ë 67 6?î)E6?í8:GðM6F!RHZ9B68Eò&:G·ðMRSE!FHS7BFí8Q=HB>!>"R[ïN>FE!ñ í F!ñ E6?>?Aí8HSQGQ=6?<µHSE!ERcîïöEfH[·6?>?A<D68õ7 :=7 ìîtëH[Fú:=>úí8H[Q=Q=6?<µH[EE!Rcî QGRBìS:Çí[ADFë 6óHB>I:Çí·R;<H[Q ÷.
(4) QGRBìS:Çí&R[ï HSE!ERcîê>81 ®7ÍF!ë :Ç>Ïí8HS>!6SANHFò;ð :Çí8HSQkîRSEQ=<µ:Ç>ÏHÐðHS:GE øtR[ï6?QG6?·687JF>?A îtë:=ífë í8H[7ÁóM6Fë RSñìSëJFúR[ïHB>úH[7æHSE!ERcî >IFHSEIF:G7ìpHcF H[7 <µ687<D:=7 ì}HcF ANH[7 <}F!ë 6rE!6?Q=H[F!:=RS7> ó 68Fî6?687ðHS:GEf>H[E6F!ë6úH[7HSQGRBìSRBñ> R[ïNñ>!ñH[QMíURS·ðMRB>!:F:GRB7H[7<·E689B68Ef>I:=RS7oR[ïE68QÇHcF!:=RS7 >81 KêEE!Rcîê> H[E6·R[F!:=9cHcF6?<AJH[·RS7 ìRSF!ë 6?E F!ë :=7 ìB>?ASó;òóM68:=7 ìFë 6t:G7ð ñD F cRSñDFð ñDF RSïFEHS7>I:G F!:=RS7·>FfHcF!6>81PùRS·ðMRB>!:F:GRB7-A[:=7ÓFë :=>Pí8RS7JF!68ý;F?A[·6?HS7> >I6 Jñ 687JF!:ÇH[Q=:Ç>!H[F!:=RS7RSïF!EfH[7 >I:GF!:=RS7>?1 KêEE!RcîþïöEHS·6?>-ë H9S6 <D:=E6?íF"íURS77 6?íUF!:=RS7&ît:GF!ëÓE68QÇHcF:GRB7H[QBH[Q=ìS68óEHB>8A?QG6HS<D:=7 ìtFRZHtó E:Ç<DìS6 ó 68Fî6?687µ·R;<H[QQ=RSìS:ÇíH[7<}H[Q=ìS6?ó EfH[:ÇíúQ=RSìB:=$ í 0ÁO
(5) 1 ®7ÐF!ë:=>ðHSð 6?Eî6H[ð ð Q=ò·F!ë:=>E6?íU:=ðM6úFRròB6UFtHrHS7 R[Fë 68EíUQÇHS>>R[ï-ïöEfH[·6?>?A;RSóDFfH[:=7 6?< óJòo6Uý;F687<D:=7 ìÓHSE!ERcîVïöEfH[·6>ît:GF!ëpH7 6?î RSðM68EfHcFRSEP7HSo6<·ïöRS E N1"4RS E rHSE!ERcî{Q=RSìB:=í:Ç> íURS77 6?íUF!6?<ÁF!RÐïöRBE µH[Q=ìS6?ó EfHS>trñífëÍHS>ZH[EE!Rcî Q=RSìS:Çí8>úî6?E!6ÓRSóDFfH[:=7 6?<µïöERS E68QÇHcF:GRB7H[Q H[Q=ìS68óEHB> 0æC 0 DA-0ÁO
(6) 1
(7) þ6>IFHSEIF&ît:GF!ëH}>!6UF&RSïH[EERcîê>8AHS>ÏóM6UïöRBE!6BA-ó ñDFît:GF!ë F!ë E686E!6?Q=H[F!:=RS7>?kíURB·ð RJ>I:GF!:=RS7-AE689B68Ef>I:=RS7HS7<ïöRS E N1
(8) ë 6?7ÓRB7 6 9;:=68îê>/F!ë 6ðHS:GEf> ø HS>Ð:=7 ð ñ F RBñDF!ðñDF}RSïF!EfH[7>!:F:GRB7>FfHcF6?>?AtF!ë 6ÍïöRS E )E68QÇHcF:GRB7>FfH[7<>ïöRSE}ðHSEHSQGQ=68Q=:=>! R[ï&F!EfH[7 >I:GF!:=RS7>?1 ôë6ÍE68QÇHcF!:=RS7 í8H[QÇíUñQGñ>p6Uý;F!6?7<D6<ó;òÝïöRS E ÝHSð ð 6H[Ef>Ð:=7 í8RS·ð ñDF68E >!í8:G6?7íU6ÁHS>HþïöRBE!H[Q=:Ç>I ïöRBE 7 RB7D ®<D6UF68Eo:=7 :Ç>F:=íørð E!RBìSEfH[ > úOZü DA úO &÷ 1 ®7 ïhHSíFAí8Q=HB>!>!6?>oRSïZïöRBE {HSQGìB68ó EfHS>oH[7 <)RSïZð ERSðM68E·ïöRBE )H[Q=ìS68óEHB>ÓëH9B6óM686?7Èñ>I6<)ïöRSE >IðM6?í8:õ í?HcF:GRB7 HS>î68Q=QÏHB>pïöRBE}< 68E:G9cHcF:GRB7R[ïrð E!RBìSEfH[>Ð:=7Fë 6ËE!6?Q=H[F!:=RS7HSQÏí?H[QÇíUñ Q=ñ>. úO ÷BA-5 ZL;O ! A ú5tL ! Ak4DK !DAk4DK A/4 DAk54 Z0 1Ðôë6ð E!RBìSEfH[··:G7ì í8H[QÇíUñQGñ>ÓóHS>!6?<VRS7ïöRS E H[Q=ìS68óEHB>&ëHS>ríUQ=6?HSErHS< 9HS7JFH[ìB6?>HSìBHS:G7>IFÓRSF!ë 6?Eïöñ 7íUF!:=RS7HSQ H[7<ÁE68QÇHcF:GRB7H[Q"í8HSQ=í8ñ QG: OP68Q ! " 1&0ÁRSE68Rc9B68EA ð ERSó Q=68 >!ð 6íU:Gõ í8H[F!:=RS7>úëH9S6ÓHp7HcFñ EfH[Q E!6?ð E!6>I6?7JFHcF:GRB7Óît:GF!ë :=7oïöRS E ÓH[Q=ìS6?ó EfHS> ü O êO ! " 1P0ÁRSE6H[óMRSñDFPïöRBE HSQGìB68ó EfHS> í8HS7róM6 ïöRSñ 7<o:=7oF!ë 6ê>!ñ E9S68òD> ú4 5O
(9) DA[4 5
(10) "A[îtë:=ífëíURB7JFH[:=7o6Uý;F!6?7>I:=9S6ó :=ó Q=:GRBìSEfH[ð ë:G6>81 ê68E6Ðî6pð ERc9;:=< 6ÐHµïöRSEH[Q=:=>! FëHcFo687HSó Q=6?>E6?HB>IRB7 :=7 ìæH[óMRSñDFÓïöRS E ËHSQGìB68ó EfHS>&:=7{H oRD< HSQtíURS7JF6Uý;F?1 F·:Ç>oRSñ E·:=7JF!687JF:GRB7{FëHcFRS76ît:=QGQtóM6ÁH[ó Q=6F!RËð E!RSõ F·ïöE!RB ó RSF!ë íURS7JF6Uý;F>?AD·R;<H[Q-H[7 <}HSQGìB68ó EfH[:Çí[1 4 RSQ=Q=Rcît:G7 ìÓF!ë 6E6?í8:GðM6SAD:=7>!6?íUF!:=RS7Áûî6ZE689;:=68î Fë 6&<D6Uõ 7 :F:GRB7}HS7<Fë 6E!6?ð E6?>!687D FHcF:GRB7F!ë68RSE68½RSï-ïöRS E H[Q=ìS68óEHB>81 L;6?íUF!:=RS7 ríURS7JFfH[:=7>Fë 6>Iò;7JFH[ý·HS7<p>!68H[7JF:=í?>R[ï ïöRS E ÓH[EE!Rcî{QGRBìS:Çí[1 ®7ÐL;6íF:GRB 7 î6tð ERc9S6F!ë 6êí8RS·ð Q=6UF!6?7 6?>>"F!ë68RSE68µA[:=7·FîR>IFHSìS6>8 RS7 6ê:Ç> >IFHS7< HSE<·H[7 <oF!ë 6êRSF!ë 6?E ñ>!6?>F!ë 6úE!6?ð E!6>I6?7JFHcF:GRB7oF!ë 6?RSE68 ïöRBEïöRBE oH[Q=ìS68óEHB>81 ôë 6pñ>H[ìB6ÐR[ïtFë :Ç>ÓE6?>!ñ QGFrðM68Eo:GF>oHÍ< 68ðHSEIFñ E!6ÐïöE!RB Fë 6ñ >IñHSQí?H[7 RB7 :=í?H[QoRD<D6?Q íURS7 >FE!ñíUF!:=RS7æHS7<æî6ÓRBóDFHS:G7ÍHpíURS·ð Q=6UF687 6>!>ZE6?>!ñ QFÏRS7ÍHíUQÇHS>>êRSï>FE!ñ íF!ñE!6>tF!ë HcF := > íURB7íUE6UF6 A;:1 6B1GARS7 6îtë 6?E!6Fë 6&îRBE!QÇ< >H[E6ðH[:=Ef>R[ï 68Q=68·687JF>úH[7<pF!ë 6ÓE!6?Q=H[F!:=RS7> H[E6úFë 6ñ>Iñ H[QíURBoðMRB>!:GF!:=RS7-A;E689S6?E>!:=RS7pHS7<ïöRBE RSï/ðHS:GEf>81 ®7F!ë 6ð ER;R[ïkRSïkF!ë6í8RSo ð QG68F!6?7 6?>>F!ë68RSE68 î6·FfH S6HB<D9cH[7JFHSìS6oïöE!RB F!ë6Ð:G7JF68EfíURS77 6?íUF!:=RS7>&HSoRB7 ìµ·R;<H[Q QGRBìS:Çí[AMõEf>FRSEf<D68EÏQ=RSìS:Çí[AE68QÇHcF:GRB7H[Q">FE!ñ íF!ñE!6>8A-HS7<Í5R;RSQ=6?HS7ÍH[Q=ìS6?ó EHB>êît:GF!ëËRSðM68EfHc F!RSEf>?1 Fê:=>tRBñ Eïö686?QG:=7 ìoF!ë HcFêFë 6?>!6:G7JF!6?Eí8RS7 76?íF:GRB7>tí8HS7óM6ñ>!6?<pïöRSEúð E!Rc9;:=7 ìoR[F!ë68E E!6>Iñ QGF>ZFëHcFî6o:=7BF687<ÍF!R}RSó FH[:=7Íît:GF!ëþïöñ E!F!ë 6?E&<D689B68Q=RSð ·687JFÏR[ï ïöRBE ÁHSE!ERcî QGRBìS:Çí[1
(11) þ6í8RS7í8QGñ< 6ZFë 6&ðHSð 6?Etît:Fëæ>IRBo6E68H[ E D>HSó RBñDFtF!ë:=>êHS7<RS7}ïöñDF!ñE!6&E6?>!6?HSEífë-1 . µãÓâ !#"%$'&)(µâ *,+ . 4 RS E {KúQGìB68ó EfHS>·î68E6:=7JF!ERD<DñíU6<ÈHS>·óHB>I6>oïöRSEÐHE68QÇHcF!:=RS7 H[Qtí8HSQ=í8ñ QGñ >>Iñ :GFHSó Q=6µïöRSE 6UýDð E6?>>I:=7 ìrF!ë 6&ð ERDíU6>!>!6?>R[ï ð ERSìBEHS½>!ðM6?íU:Gõ í?HcF!:=RS7ÁHS7<í8RS7>IF!EñíUF!:=RS7-1 û.
(12) 5HB>I:Çí8HSQGQ=òSA[HZïöRBE ÓHSQGìB68ó EfHZ:=>HÏE68QÇHcF:GRB7H[QDH[Q=ìS6?ó EfHúît:GF!ëÐHS7r68ýJFEHÏRBð 6?EH[F!RSEA[í8HSQGQ=6?< wUmcdN1Kð E!RBð 6?EPïöRSE rHSQGìB68ó EfHÏ:=>RS7 6êîtëRB>!6ê<DRSH[:=7íURB7>I:Ç>IF>PRSïH&>!6UFR[ïó :=7H[EòÓE68QÇHc F!:=RS7>?1PKê7}:G·ðMRSE!FH[7JFïö6?H[F!ñ E6ZRSï/ð ERSðM68EïöRS E ÐH[Q=ìS6?ó EfHS>:=>F!ë6ZïhHBíFF!ëH[FF!ë 6&<DRB·HS:G7 ñ 7<D6?E!Q=ò;:G7 ìF!ë 6ZE!6?Q=H[F!:=RS7>Prñ>IFóM6úíUQ=RB>!6?<·ñ 7 <D68EH&ðHS:GE:G7ì&RSðM68EfHcF!:=RS 7 A;òJ:=68QÇ<D:=7 ìÓH efud z uvDd!bfgD^_a`cbUdfe8bZEH[F!ë 6?EPF!ë H[7·F!ë6úñ>!ñH[QM>I68F R[ïðMRS:=7JF>?1 ôë:=> 7 68î ðHS:GE:=7 ì&RSðM68EfHc F!:=RS 7 ëHS> óM686?79S6?E!ò&ñ>!6UïöñQ :G7·ð ERSìBEHS >IðM6?í8:õ í?HcF:GRB7rïöRBEPE!6?ð E6?>!687JF!:=7 ì>FE!ñíUF!ñ E6?< < HcFfH 1 Ï:G9B687þFîRÁó :=7HSE!òæE68QÇHcF:GRB7 > HS7 < A-Fë 68:=EúwUmcd :=>< 6Uõ7 6<2HS>ÏFë 6·ïöRSQ=QGRcît:=7 ì E!6?Q=H[F!:=RS7-
(13) aøt
(14) ÐHS7< F:Ç>:G·ðMRSE!FH[7JFF!Ro7 R[F:=í86úFëHcFA;îtë :GQ=6ZF!ë 6ðHS:GE øëHS> F!ë 6ñ>!ñHSQM>!6UFF!ë 6?RSE6UF:=í?H[Q o6H[7 :=7 ì AF!ë 6·ðHS:GE :Ç>&H}>FE!ñíUF!ñ EfH[Q RBð 6?EH[F!:=RS7ÍRc9B68EZF!ë 6Ð< RSH[:=7-1rKúQGQ FëHcF&:Ç> E!6 Bñ:GE6?<pïöE!RB±F!ë:=>t768î ð H[:=E!:=7 ì·RSðM68EfHcF:GRB7:Ç>:Ff>t:=7 6?íUF!:=9J:GFòS1 ®7)Fë 6ÁE68H[:=7<D6?EoRSïZFë :Ç>Ð>I6íF:GRB7-Aî6Áð E6?>!687JF·ïöRS E {H[Q=ìS6?ó EfHS>·HS>HS7ÝHSó>FEHBíF F!ë 6?RSEòÍR[ïtRBð 6?EH[F!:=RS7>RB7>IF!EñíUF!ñ E6?<Ëó :=7H[EòÍE68QÇHcF:GRB7>?1ôë 6pí8Q=HB>!>RSï ð ERSðM68E ïöRS E pH[Q=ìS6?ó EHB> :Ç>ê<D68õ7 6<}HB>ïöRSQ=QGRcîê>?1 !#"$#%& K ';C4DK :Ç>êHrFîR·>!RSE!F!6<>IF!EñíUF!ñ E6ît:Fëµ< RSH[:=7*> ) H[7 , ( < +o - ) . +. /.. /0. 21 . . 3,5476. 98 /:. ;9< . '>= . îtë 68E6S :Çø - ) /. 90 ?1 3, 476 /8 9: /;/< =:Ç>tH>I68FtE!6?Q=H[F!:=RS7HSQNHSQGìB68ó EfHrît:Fëµ>!ñ ð E68rñ : A :G:a@ø 'p$ +BA+DCE+ :=>tHS7µ:G76íF:G9B6Zïöñ7íF:GRB7}îtë687µE!6>FE!:ÇíF6?<pF!R : A :G:=:ÇFø ' #/G ø!ø HS7< G B1 êRcî&ADî6í?H[7µ<D6Uõ 7 6F!ë 6í8Q=HB>!>RSï/ð ERSðM68EïöRBE H[Q=ìS68óEHB>81 !#"$#%& ôë 6&íUQÇHS>>RSIï HNd!/m HbUdwUmcd icl JJ$b K8d!ice LMON :Ç>t<D6Uõ 7 6?<µHS>í8RS7>!:=>IF!:=7 ì R[ï"F!ë 6&E6?<Dñ íF>RSIï 'DC 4DQ K P >F!R·Fë 6>!:G·:=Q=HSE!:GFò·Fò;ð 6 R. /0 ?1 $3, 4I6 /8 /: ; < ø1 ®7îtëH[FtïöRSQ=QGRcîê>?ADî6ÏRB7 Q=òpíURB7>I:Ç<D6?EêC 4DQK P >îtë 6?E!6 )TS 8 J1 !#"$#%& ôë 6rí8Q=HB>!>ZR[ïZd!Ub HNd!bUeUb8^u®Vi K8lGbtwUm[d Áicl JB?b KUdie·:=><D68õ7 6?<þHS> WXMONY Z LMONøUAîtë 6?E!Q 6 ZÏ<D6?7 R[F6?>Fë 6&RSðM68EfHcF:GRB7pR[ï"F!H ;:G7 ì·:Ç>IRB·RSEð ë :ÇíZí8RSð :=6?>?1 K wUmcdicl JBb?KUdiÐ:Ç>tH[7ÁH[Q=ìS6?ó EfH[:Çíú>IF!EñíFñ E!6B - ) 9[ $\ $] _^ 4 /` ÷ ? ÷ ab= >!H[F!:Ç>ïöò;:=7 ìoF!ë 6ïöRBQGQ=Rcît:G7ìoH[ý;:=RS>? ÷øKtýD:=RS>t>IFHcF:G7ìrFëHcF - ) _[ \ ] 4 /` ÷ ÷ a =:Ç>tH·E!6?Q=H[F!:=RS7HSQNHSQGìB68ó EfH A ûSø V^ c d] ÷ a ^ ÷øIø \ ] ÷ ^ ÷ a øIøUA Bø V^ ø ] ^fe ø ` d] ` ø \ ]e ` øUA Jø ÷ a ^ ÷ø `Q^ ÷ ^ ÷ a ø `hg ÷ a 1 - ) 9[ \ ]9^ 4 ` ÷ ÷ a =UA Fë 6&E!6?Q=H[F!:=RS7j Ï:G9B687µH[7Á4DK > ik ÷ a ^ ÷ø ` H[7 < l ÷ ^ ÷ a ø ` H[E6úí8HSQGQ=6?Q < m dfeu H[7<ÁeUb z mc^Ng HMd!om n8b z u_hmc^eZR[pï )ÓA;E!6>IðM6?íUF!:=9S68Q=òS1 ®7pHS7;òo4DKÓAi !#"$#%& .
(15) H[7< lÏH[E6 JñHB>I:=ð ER 6íF!:=RS7 >8A?:v1 6S1=AF!ë 6?òÏHSE!6 ïöñ 7 íF!:=RS7 H[QS6?QG6?·687JF>->!ñífëFëHcFpi `,] l, ÷S1 ôë 68E6UïöRBE!6BA?Fë 6E!6?Q=H[F!:=RS7HSQBE6?<Dñ íF R[ïH[7;ò&4DKÝ:=>"H Bñ HS>!:Gð ER 6íF:G9B6E!6?Q=H[F!:=RS7HSQBHSQGìB68ó EfH A H[7<ÓF!ë;ñ>?ASHÏE!6?ð E6?>!687JFHSó QG6E!6?Q=H[F!:=RS7HSQDH[Q=ìS68óEH1k5HS>!6?<RB7ÓFë 6?>!6E!6>IñQFf>8AS0V1[41[4E!:ÇHS>?A o1"KÓ1"5H[ñ}APKÓ1"021 úHS68óM68E68EoH[7<VC 1"K1PLN1"OP68Q=RB>!R. 4 5 êO A/4 êO
(16) ð ERc9S6< F!ëH[FtF!ë 6H[ý;:=RS>R[ï"ïöRS E pHSQGìB68ó EfHS>ð ERc9J:Ç<D6&Hrõ7 :GF!6H[ý;:=RSH[F!: HcF:GRB7ÐïöRBEF!ë 6í8Q=HB>!>R[ï E!6?ð E!6>I6?7JFH[óQG6ZïöRS E pH[Q=ìS6?ó EfHS>?1 MON DW M&NÍ1 d%
(17) WX2 ? d O" "?#%& d%2 k 4 RSEÐH·RBE!6Á<D68FH[:=Q=6?<È<D:Ç>!í8ñ>!>!:=RS7ÝR[ïF!ë :Ç>E6?>!ñ QGF?A>I6? 6 Ïò;%ñ
(18) JA OP6?Q
(19) ZH[7 <{Fë 6 ó :GóQG:=RSìBEHSð ë;ò·F!ë 6?E!6?:G7-1 . µãÓâ ! âPâPã . Vã'$oèUç. ®7ÍFë :=>&>!6?íUF!:=RS7þî6·>Ië H[Q=Q":=7JF!ERD<DñíU6rïöRSE æH[EERcî Q=RSìB:=íÓïöERS ïöRSE æH[Q=ìS6?ó EfHS>ZÓñífëËHS> H[EE!Rcî Q=RSìB:=íÏ:Ç>tRSóDFfH[:=7 6?<pïöERS E68QÇHcF:GRB7H[QH[Q=ìS6?ó EfHS>?1. "! #$&%('*) $+'-,.$&% /10324/ ,65"7 4/:=Ef>FAMî6ÓðE!6>I6?7BFúF!ë 6oQ=HS7 ìSñ H[ìS6&RSïPïöRSE ÁH[EE!Rcî QGRBìS:Çí[AF!ë 6rïöEHS·6?>tFRp:=7JF!68Eð E6UFZF!ë :Ç> Q=HS7 ìSñHSìS6BA;HS7<}<D6Uõ76F!ë 6&7 RSF!:=RS7>RSï/FE!ñ F!ëÁH[7<}íURB7>!6 Jñ 687 íU6S1 !#"$#%& ôë6VlGicd^ J[$i JBb2R[ïïöRS E H[EE!RcîÿQGRBìS:ÇíÁ:=>}HVðMRSQ=:G ·RD< H[QZQ=HS7 ìSñ H[ìS6 íURS7 >I:Ç>F:G7ìæR[ïúHþ>I68F98YRSïúíURSñ7BFfH[ó Q=òË·HS7;ò>!687JF687JF!:ÇH[QQG68FIF!6?E> Fë 6}68Q=68·687JF>rR[ï:8 H[E6}<D6?7 R[F6?<{óJò2ðkA MAú1=1G1¾øA F!ë 6Á5R;RSQ=6?HS7)íURB7 7 6íF!:=9S6><;ÝHS7<>=(HS7<2ïöRBñ E·R;<H[Q RSðM68EfHcF!RBE>?+?A@?ACBAED HS7<GF 1 ôë 6ÏïöRSEÓñ QÇHS>tHSE!6<D6Uõ 7 6?<µHS>ïöRBQGQ=Rcîê>? K 1 ?A@ 1 ; H 1 H 6 = HNM 1 B H 1 H 6 D HM 1 H 6 F HNMPO H G JI 1Lk
(20) þ6ZïöE!6?68Q=ò·ñ>I6ZF!ë6Ï>IFHS7< H[Ef<Ð5R;RSQ=6?HS7ÐH[ó ó E689;:ÇHcF:GRB7>RQ}ATS HS7<1U H[7<ÐHSQ=>!RFë 6 ïöRSQ=QGRcît:=7 ì&H[ó óE!6?9J:ÇHcF:GRB7>/ïöRSEPFë 6ê<DñHSQ=>?&B H J;B&; H A H 6 D H M& V; ; H 6 DW; H MøPH[7< H 6 F H M V; ; H 6 FX; H Mø1 ôkR&<D68õ7 6êH E!:=ð B6>!68H[7JF:=í?>"F!R&RSñEPQ=HS7 ìSñHSìS6BAcî67 6?6?<rF!ë 6t7R[F!:=RS7oR[ïHZïöEHS·6S1 !#"$#%& Kwfd!i[·bÝ:Ç>ÍH c vFñ ð Q=6ZY -[ ]\ ]^ /; =UAÓîtë 6?E!6 [ :Ç>ÍH 7 RS7 6?·ðDFòp>!6UF?A \ ]^`_a[cb A _X[ M H[7< ;9_X[ 1
(21) þ6p< RÁ7 R[FÓëRcî6?9S68E&îH[7JFÓ>!:G·ð Q=ò H E!:=ð S6Ð>!68HS7BF:=í?>8A/ó ñDF·HµoRBE!6Ðí8RS7í8E!68F!6 :G7JF!6?E!ðE!68FHcF:GRB7ËïöRSEFë 6ÐïöRBE ËQÇH[7 ìBñH[ìB6S1
(22) þ6ît:=>!ëF!Rþ:G7JF68Eð E!68FïöRSEÓñQ=HB>&:G7JFRÁïöRS E ïöEHSo6>Rc9S6?EH·>IF!EñíFñ E6?<ñ 7 :=9S68Ef>!6S1 !#"$#%& dk6UcF +ÿóM6ÐHµ7 RS7 6?·ðDFòþ>!6UF1K eud z uDd!bfgægSm[·i[_a^Èm[`b8d + :Ç>H ðH[:=E - ) ' =UA îtë 6?E!6 ) _ + A +oAH[7 < 'p$ +BA + CE+ :Ç>tH[7}:G7 6íF:G9B6ïöñ 7íF:GRB7µîtë 687 E!6>FE!:ÇíF6?<pF!R )Aí?H[Q=QG6X < H i[_ad_a^ JM1. .
(23) L;RÍî6pëH9B6pHÍ< RSH[:=72R[ïúð H[:=E>?A RSErHSE!ERcîê>?A øAF!ëH[FrHòó 6}E!6?ìBHSE<D6<HS> :G7 ðñDF cRSñDFð ñDFêR[ï"F!EfH[7 >I:GF!:=RS7µ>FfHcF6?>?1 !#"$#%& dk6UF - ) ' =tóM6rH>FE!ñ íF!ñE!6<Á<DRSH[:=7æRc9B68EúH7RS7 6?oð Fòµ>!6UFF+o1ZK wUmcd Zwfd!icM b&:Ç>êHrïöEfH[·6 T Y - ) ]\ ]^ /; =îtë68E6S :ÇøF) _ + M :=>úHo>!M 6UFtRSï M HSE!ERcîê>8A :G:aø \ _ + A + A + Aí?H[Q=QG6<ÐFë 6ïöRS E ÐE68QÇHcF!:=RS7kAD:=>t>!ñífëF!ëH[F? \ ø # M M?ø ø: cM H[7 < ' # M øUA :G:=:Çø ^`_ 6 + M 6 A+ M A+ M b Aí8HSb QGQ=6?<pF!ë 6 6í8RS·ðMRB>!:Fb :GRB7E68QÇHc6 F:GRB7-AD:=>ú>Iñífb ëF!ë HcF? ^ ø # M Mø # ø: MSA HS7< M A. :G9 øF _ 6 + M 6 A + M A í?H[Q=QG6b <pFbë 6&E689S6?6 E>!6úE68QÇHcF:G6 RB7-AD:Ç>tb >Iñífë}FëHcF b # ø M M ø: M HS7< M A 9Dø ; _ + 6 M A6 í8HSQGQ=6?<pF!ë 6&:Ç<D6?7B6 F:FòE!6?Q=H[F!:=RS7-6 A;:Ç>ê>!ñífëpFëHcF ;# ø: 1 ôë 6&íUQÇHS>>R[ïkïöRBE ÐïöEHSo6>ît:GQ=Q-óM6<D687R[F!6<}óJ ò M*M1 êR[F6oF!ëH[F?A/F!RÁ>IðM6?í8:ïöòËH}ïöRS E ÁïöEfH[·6SA-RB7 67 6?6?< >RB7 QGòþHÁ>FE!ñíUF!ñ E6?<Ë<DRB·HS:G7ËR[ï H[EE!Rcîê> - ) ' =Rc9B68EtHo7 RS768·ðDFò>!6U@F +o1 !#"$#%& K m?gBbUlP:Ç>úH·ð H[:=E - Y
(24) d=UA îtë 6?E!6Y :Ç>úH·ïöEfH[·6H[7 <
(25) :Ç>úH 9HSQGñ HcF!:=RS7pïöñ 7íUF!:=RS7-ADH[ðð :G7ìr>!687JF!6?7BF:=HSQNQG68FIF!6?E>:=7JF!R·>Iñ ó >I68F>R[ï [ A
(26) p8 C û µøU1
(27) þ6>Hò·F!ëH[FtF!ë 6&·RD<D6? Q - Y
(28) =:ÇQ> Kice8bgRB7Fë 6ïöEfH[·6 Y1 K d!mmcu®bgÍm?gBbUlt:Ç>rHµ·RD<D6?Q ît:GF!ë{Hæ< :=>IF!:=7 ìSñ:=>!ë 6?<2HSE!ERcî 1þj/mcd Ím?gBbUl¾e H[7< dm?m[u bfgrwUmcd þm?gBbUl¾eµH[E6·R;< 68QÇ>rHS7<2ERJRSF!6<þ·RD<D6?Q=>?APE!6>IðM6?íUF!:=9S6?QGòBA"ó HS>!6?<RS7 ïöRS E ïöEHS·6?>?1 ôë 67 R[F:GRB7}RSï">HcF:=>IïhHSíUF!:=RS7}:=>t<D68õ7 6<}HB>ñ>!ñH[Q1 !#"$#%& d-68F - =NóM6HtER;R[F!6<ÏïöRS E Z·RD<D6?QBH[7 < H HïöRSEÓñ QÇH 1 Nicu_ÇeöwUi z uv_hm[^ R[ï H :=7 - =A < 687 RSF!6?<}ó;. ò 1 H A :Ç>E6?íUñE>!:G9B68Q=òÐ<D6Uõ 7 6?<µHS>ïöRBQGQ=Rcîê>? :Ç ø 1SRIA :G:a ø f1 K :
(29)
(30) K øA :G:=:Ç ø 1 V; H : 1S H A :G9 ø 1 H = : X1 H H[7 < X1 ZA 9D ø X1 R?A@ú: ; A 9J:aø 1 VB H : Fë 68E6&:=>tHS7ÁH[EE!Rcî
(31) ) >IñífëF!ë HcF HS7< 1 H A 9J:=:aø 1 H D : Fë 68E6oHSE!6oH[EE!Rcîê>
(32) )½>Iñ ífëæF!ë HcF ^ A 1 H H[7< 1 úA 9J:=:=:Çø 1 H F: Fë 68E6ÓH[E6H[EERcîê>
(33) ) >!ñífë}F!ë HcF ,\ A 1 H H[7< 1 ú1 d-6UF(Y ó 6ÓHoïöEfH[·6&H[7 < H HoïöRSEÓñQ=H1
(34) þ6>HòFëHcF H :Ç>&uvdb:G7 Y}A<D6?7 R[F6?<µó;ò Y 1 H A :Gï H :=>ú>!H[F!:Ç>õ6<p:=7ÁH[Q=QE!R;RSF!6?<·RD<D68Q-ó HS>!6?<RS7TY1 Ï:G9B687ÐHÓ>!6U F ÁR[ïïöRBE!rñ QÇHS>?ABî6êîtE:F6 1 æîtë68. 7 1 H AJïöRSEH[Q=Q H
(35) 1 Kê7HSQGRBìSRSñ >IQ=òSA;î6ÏîtE:GF!6 Y 1 þîtë687 Y 1 H ADïöRBEêH[Q=Q H
(36) 1. .
(37) !#"$#%& d-68F Èó 6ÐHµ>!6UF&R[ïïöRSEÓñ QÇHS>HS7< H óM6ÐHpïöRBE!rñ QÇH 1
(38) þ6Ðí?H[Q=Q H H z m[^ e8b b8^ z boRSï A-<D6?7 R[F6?<Áó;ò 1 H A:Gï ïöRSEH[Q=Q"E!R;R[F6?<µïöRBE µ·RD<D68QÇ> - =UARS7 6 ëHS> 1 H îtë 687689S6?E 1 1 ôë 6&>I68FêR[ï"í8RS7>!6 Jñ 6?7íU6>R[ï ît:GQ=Q-óM6<D687 RSF!6<pó;ò ^ /øU1. . "2
(39) $
(40) $ "2*% I#%NZ N. ô/HSñDFføZlal-u®icDu®mcl=mJS_hbe Ó÷ø K S e ø(F ø(S K F ÏûBø F K S e øIø4S F Jø K S e ø4D ø(S K D ;ø D K S e ø!ø(S # D K B ø4B K S e ø4S B K S B e ø. ú :Ç>IF!E:Gó ñ F!:=RS7ÁKtýD:=RS> ø(S #e F øIø K ø4S F e ø!ø ø(S #e D øIø ø4S D e øIø. K÷ø4;B K S B&; K KZûSø4B&; K S ;B K K Bø4B&B K S K K Jø4B K D e ø4S B e D B K ø K Sø K D ; B K D e øIø4S ; e K Bø ?A@ S B+?A@ K
(41) [ø ?A@ D K ø4U K K Bø K D e D øIø U K D e ø4D ø. KúE!ERcî Kêý;:=RS>. 4RSE pKtýD:=RS> 4÷ø K F e ø4U K D ?A@ F øIø(= e D aFa?A@øIø!ø 4 ûBøtø K F e ø4D B F øIø4U K DWB ø4= e D B øIø 4 Jø B ?A@:FPø(FXB FX?A@fø!ø4S ?A@ ôë 6ê<D:Ç>FE!:=ó ñDF:GRB7·H[ýD:GRB·>PHSE!69B68Ef>I:=RS7>"RSï Fë 6 Ï ®HcýD:GRB ïöRSEPFë 6t·RD< H[Q=:F:G6>PRSðM68E! HcF!RBE>cF A D H[7< B F!ë 6< ñH[QÇ>R[ï F A D HS7<TBPøU1ôë 6H[EERcîHcýD:GRB>í?H[·6ÏïöE!RB HcýD:GRB>ÏïöRSEE68QÇHcF:GRB7H[QPH[Q=ìS6?ó EfHS>?1Ðôë 6·ïöRS E ÍHcýD:=RS>î68E6oRBóDFHS:G76?<A"<D:GE6?íUF!Q=òSA/ïöE!RB F!ë 6H[ý;:=RS>ïöRBEïöRS E ÐH[Q=ìS68óEHB>8A;ð E6?>!687JF!6<p:=7æL;6?íUF!:=RS7æûD1 W . Z U 2d V. 0æCø0ÁRD<Dñ >tC RS7 6?7>8 H H S .
(42) ê6?íø ê6íU6?>>!:FfHcF!:=RS7k. H H H H H B H A H D A JD H A H F A VF H A îtë 68E6 :=>tHS7JòÐïöRSEÓñ QÇH 1 L;ñ ó>IFføtL;ñó>F:FñDF!:=RS7k H A K ø H îtë 68E6 K ø H :Ç>F!ë 6ÓE!6>Iñ QGFtR[ï ñ 7 :GïöRSE·QGò}>Iñ ó >F:FñDF!:=7 ì·F!ë6ïöRSEÓñ QÇH ÈïöRSEtFë 6>I6?7D F!687JF:=HSQ-QG68FIF68E K :=7 H 1 ôë 6 ê6í E!ñ Q=6:Ç>êH9B68Ef>I:=RS7}R[ï F!ë67 6?í86?>>I:GFH[F!:=RS7µEñ QG6 ïöRS E øïöRSEúF!ë 6Ó< ñH[QÇ>.F A D HS7< B 1 Kú>tî6ëH9S6ÏF!ë6ÓHcýD:=RS>tô/HSñDFúH[7 <pFë 6&Eñ QG6>t0æC H[7 <µLDñ ó>IF?ARBñ Eê>!ò;>IF!6? :Ç>êH[7 6Uý;F!6?7>I:=RS7pR[ïkíUQÇHS>>!:=í?H[Q >!687JF687JF!:ÇH[Q QGRBìS:Çí[A;HS>ñ >IñHSQv1Pôë 6Zð E6?>!687í86úR[ïFë 6Z< :=>IF!E:GóñDF!:=RS7 HcýD:GRB>êH[7<}RSï"Fë 6 ú6?í Eñ QG6&ìB:G9B6?>tñ >úH·7 RBE!H[QkoRD< HSQ-Q=RSìS:Çí[1ôë 6HSó>I6?7íU6&RSïH[7;ò R[F!ë68EtEñ QG6 R[F!ë68EF!ë H[7Á0æC A ê6íRSEêL;ñ ó >FøìS:=9S6?>ñ >tH[72mcdu mgSm Í·RD< H[QQ=RSìB:=í íUï1. OP6?%7 ÷ öø1 ôë 67 R[F:GRB7}RSïkFë 68RBE!6? :=>tF!ë 6&ñ>!ñHSQRS7 6B1 !#"$#%& d-68F H óM6æHËïöRSEÓñ QÇH 1
(43) Ë6æ>!HòVF!ëH[F H :Ç>ÐHÝu bm[d!b8}At<D6?7 R[F6?< óJ. ò H A-:Gï Fë 68E6o6UýD:=>IF>H}>I6 Jñ 687í86 - H 6 O O O
(44) H =Ï>Iñ ífëæF!ë HcF
(45) H :Ç> H H[7<ANïöRBE6?HSífë ÷ OO O Acî6ëH9S6PFëHcF H
(46) :Ç>/HS7ÓHcýD:=RS RSE":=>"Hêí8RS7>!6 Jñ 6?7íU6R[ï ð E689;:=RSñ>-ïöRSEÓñ QÇHS> :G7rF!ë 6t>!6 Jñ 6?7íU6ó;ò0æC A ê6í RBEPLDñ ó>IF?1 ôë 6t>I6 Bñ687í86 - H 6 OO O H =/:=>Pí?H[Q=QG6<ÓH HMd!mmw R[ï H 1 ôë 6Ó7 RSF!:=RS7æRSï <D6?< ñíF:Gó :=Q=:FòµïöERS Hp>!6UFR[ïPïöRBE!rñ QÇHS>ê:Ç>>Iñ ífëÁF!ëH[FZRB7 6ÓëHB>êFë 6 <D6?<Dñ íF!:=RS7Fë 68RBE!6? ë RBQ=< :G7 ìt:=7ïöRS E ZHSE!ERcîæQ=RSìB:=íPHB>î6?QGQBHS>->!RSñ 7 <D7 6?>>RSïJFë 6 í?H[QÇíUñ Q=ñ> ît:Fë}E6?>!ðM6?íFFR·ïöRS E ïöEHS·6?>?1 !#"$#%& d-68F þóM6H·>I68FtR[ï"ïöRSEÓñ QÇHS>H[7 < H ó 6HrïöRSEÓñQ=H1
(47) Ë6>Hò·F!ëH[F H :=>gSbfg[ z u#_ KUl=b·ïöERS A-< 687 RSF!6?<Íó;ò H Ak:ïF!ë 6?E!6o6UýD:Ç>Ff>ZH}>I6 Jñ 687í86 - H 6 O O O H = >IñífëþF!ë HcF H
(48) :=> H H[7<-A-ïöRSE&6HSífë $÷ O OO A/î6ëH9B6ÓFëHcF H
(49) :Ç>HF!ë68RSE68 RSE H
(50) A RBE
(51) H :=>tHí8RS7>!6 Jñ 6?7íU6ÏR[ï ð E689;:=RSñ>ïöRBE!rñ Q=HB>:G7}F!ë6>I6 Bñ687í86Ïó;ò}0æC 1 ôë 6 >I6 Bñ687í86 - H 6 O O O
(52) H =:Ç>êí8HSQGQ=6?<}HÁgSbfgc z uv_hm[^ÍRSï H ïöE!RB 1
(53) ë 687 Ë:=>ê68·ðDFòÐî6&ît:GQ=Q7 RSFú<D:=>IF!:=7 ìBñ :=>!ëµó 68Fî6?687 8 H H[7 < H AHS>ñ >IñHSQv1 V "$ % d%C ï . H úA F!ë 6? 7 H S Z1 d% A I% ! ï H ADFë 687 1 H 1 d% ôë :=>tF!ë 6?RSE68 í8H[7µóM66?>IFHSó Q=:=>!ë 6?<}ó;ò}:G7< ñíF:GRB7ÁRS7µð ERJRSïh>êH[7 <Á<D6?<Dñ íF!:=RS7 >8AMHS> ñ>Iñ H[Q1.
(54).
(55) ã á úà ôë 6ÐíURBoðQG68F!6876?>>&R[ïF!ë 6Ðí?H[QÇíUñ Q=ñ>&ît:GF!ëE6?>!ð 6íF&FRµïöRSE æïöEfH[·6?>ît:=QGQïöRSQ=QGRcî ïöE!RB F!ë 6ïhHBíFtF!ë HcFê689B68EòÐíURB7>I:Ç>IF!687JFê>!6UFêR[ï/ïöRSEÓñ QÇHS>ë HS>tHoE!R;RSF!6?<pïöRS E зRD<D68Q1 d-6UF \2 óM6êFë 6ú>!6UFí8RS7>!:Ç>F:G7 ì&RSïNF!ë 6ÏHcýD:GRB>PK÷ DK AB4÷ D4 1"4":=E>IF?AJî6 J7Rcî F!ëH[FHSQGQF!ë 6HcýD:=RS>:=7 \2
(56) HSE!6ÏLDH[ë Q J9;:=>IF ïöRBE!rñ Q=HB> L;O " 1ùRS7>!6 Jñ 6?7BFQGòBA \2
(57) ëHS> HÏ>I68F RSïõEf>IFI RSEf<D68E"íURSEE6?>!ð RB7<D687JFf> e \2
(58) ø >Iñ ífëF!ë HcFPî6ëH9B6í8RS·ð Q=6UF!6?7 6?>> ît:Fë E!6>IðM6?íUFoFRF!ë 6þíUQÇHS>> e \2
(59) ø!ø·R[ïÏõEf>F! RBE<D6?E·oRD<D6?Q=>ÐR[Qï e \2
(60) øU1 ôë 68E6UïöRBE!6BA ìB:G9B687ÍH}íURB7>I:Ç>IF!687JF>I68FÏRSïïöRSEÓñ QÇHS> ANFë 68E6r68ýD:=>IF>ÏHÐER;R[F!6<Á·RD<D68Q R[ï óHS>!6?<RS7µHrïöEHSo6:=7 e \2
(61) ø!ø1 " &. &. &. ++. . ). . . . . . . Sq(Fork). BA with Operators Mod. Relational Structures. Mod(Sq(Fork)). fragments/ extensions of FOL. Sq FML. Modal Logics. 5ñ FÓî6pît:=>!ëVHµE!R;RSF!6?<ÁwUm[d ·RD<D68Q ïöRSE 1ÁôkRÁRBóDFHS:G7V>!ñífëVHÁ·RD<D6?QvA"î6pît:GQ=Q ñ>I6Fë 6tíUQ=RB>!6íURB7 7 6íF!:=RS7oóM6UFî68687o5RJRBQG6H[7oH[Q=ìS68óEHB>-ît:GF!ë·RSðM68EfHcFRSEf>kH[7 <ÓE68QÇHcF:GRB7H[Q >FE!ñíUF!ñ E6?> XJô D÷[A XJô Sû AHS7<ÐFë 6ïhHSíUFtF!ëH[FtïöRS E pH[Q=ìS6?ó EfHS>H[E6ÏE68ðE!6>I6?7BFfH[ó Q=6S1
(62) þ6Ëît:GQ=Q>IFH[E!Fµ:G7 F!ë 6<DRB·HS:G7 R[ïoE!6?Q=H[F!:=RS7HSQÏ>IF!EñíFñ E6?>?Aúît:GF!ë HVïöEfH[·6 Y
(63). e \ 2
(64) ø!ø1ôë687µî6&ît:=Q=Q-·Rc9S6:G7JFRrFë 6<DRB·HS:G7µRSï HSQGìB68ó EfHS>?A;9J:ÇHrF!ë 6í8RSo ð QG68ýæH[Q=ìS68óEHA ^ Y}ANR[ïPFë :=>úïöEfH[·6S1 ^ Y$ît:GQ=Q/óM6rHÐïöRS E }HSQGìB68ó EfH ^ Y
(65) MONøU1 5òæF!ë 6·E68ð E6?>!687JFH[F!:=RS7ÍF!ë 6?RSE68 ïöRBE MONÍA-î6·ît:=QGQPìB6UFH}ð ERSðM68EÏïöRS E ÍH[Q=ìS6?ó EfH
(66) LM&NÍA îtë:=ífëÁ:Ç>ê:Ç>IRB·RSEð ë :ÇíúFR ^ Y1t4":G7 H[Q=QGòBAî6ît:GQ=Qk·Rc9B6&óHSí pF!RFë 6Ó<DRB·HS:G7 R[ïNE!6?Q=H[F!:=RS7HSQ >FE!ñíUF!ñ E6?>?A[9;:ÇHÏF!ë 6ïöEfH[·64Y
(67) 2:=7<Dñí86?<oó;ò1+Y
(68) 2ît:=Q=Q ó 6ZHúïöRBE ÓïöEHS·6S1 ®7ÍìSRB:G7ìÐïöERS1Y
(69) e \2
(70) øIøZFR ^ Y
(71) MONÍANïöE!RB ^ Y
(72) MON FR
(73) LM&NÍAMHS7<ïöE!RB
(74) LMON FR9Y
(75)
(76) M*MA Fë 6Óí8RS7 7 6íF:GRB7}óM6UFî686?7ÁE!R;RSF!6?<·RD<D68QÇ> óHS>!6?<pRS7 Y±H[7 <ïöRSEÓñQ=HB> :Ç>ð E!6>I6?E!9B6?<1 ê6?7íU6BA HS>î6ÏëH9S6Ï>FfH[E!F!6<ît:Fë}HÓE!R;RSF!6?< oRD<D6?Q ïöRSE&Hµ>I68F&R[ï ïöRBE!rñ QÇHS> )ó HS>!6?<þRS7þHïöEfH[·6<Y
(77) e \2
(78) øIøUA/î6oît:GQ=Q RSóDFfH[:=7pHER;R[F!6<·ïöRS E ··R;< 68Q ïöRS E æóHB>I6<RS7pHïöEHS·6 Y
(79) M*MADHB> <D6>I:=E!6<1Pôë :Ç> :Ç> F!ë 6>IF!EñíFñ E6ÏRSï/Fë 6&ð ER;R[ï/RSï"í8RS·ð Q=6UF!6?7 6?>>î6ÏðE!6>I6?7BFt:=7}F!ë :Ç>ê>!6?íF:GRB7-1 ®7 :F:=HSQGQ=òSADî6>!ëH[Q=QNF!EfH[7>!QÇHcF!6Ï·RD< H[QïöRBE!rñ QÇHS>:G7JFR·HSQGìB68ó EfH[:ÇíúF!68E>81 !#"$#%& ôë6ZFEHS7>!Q=H[F!:=RS7}R[ï-ïöRBE!rñ QÇHS>R[ï-ïöRBE ÐHSE!ERcî Q=RSìS:ÇíZ:G7JF!RrF!6?E!>R[ï F!ë 6HSQGìB68ó EfH[:ÇíúQÇH[7ìSñHSìS6Ï:=>t<D68õ7 6<E6?í8ñ Ef>I:=9S6?QGòÐHB>ïöRSQ=QGRcîê>? :Çøtü 9S6?E!òp>!687JF687JF!:ÇH[Q-Q=6UF!F!6?E K
(80) 8 :=>tF!EfH[7>!Q=H[F!6<:=7JF!RÐH·9cH[E:ÇH[ó Q=6 :G7}F!ë6ÓH[Q=ìS6?ó EHS:=í Q=HS7 ìSñHSìS6BA :1 6B1GA K ø îtë 6?E!6æ:Ç>ZHpó : 6?íF:GRB7ÍóM6UFî686?7Í>I6?7JF!687JF:=HSQ/Q=6UF!F!68Ef>H[7< 9HSE!:ÇH[óQG6>øUA .
(81) :G:aø Iø ·H[7< ?A@fø ÷ a A :G:=:Çø ; H ø@ H ø_4{H[7< H = ø H ø \ øAMH[7< :G9 ø B H ø H øIø ` A H Dø@ H ø ] øúHS7< H Fø H ø ^ øU1 e \2
(82) ø!øAJî6í8HS7ÓRSó FH[:=7rHúïöRSE &H[Q=ìS6?ó EH Ï:G9B687rHZE68QÇHcF!:=RS7 H[Q;>FE!ñíUF!ñ E6:G7 ïöE!RB :Ff>êíURB·ð QG68ýH[Q=ìS6?ó EfH 1 !#"$#%& ôë 6 z m[ HNlGb icl JJ?b KUd!ioRSï6YT -[ ]\ ]^ /; =UA<D687R[F!6<ó;ò ^ Y}A :=>ê< 6Uõ7 6<HB>ïöRSQ=QGRcîê>? ^ Y - û /. 90 4 98 ][ = îtë 6?E!6B :Çø ø
(83) [ ^ ADïöRSE
(84) H[7<
(85)
(86) JA :G:aø @ø
(87) [ ,\ ADïöRBE
(88) H[7 <
(89) BA :G:=:Çø ø
(90) E[ V ADïöRSE
(91) JA :G9 ø ; 1 êR[F6oF!ëH[F6?HSífëË9cH[Q=ñHcF:GRB7
(92) 268 C û :=7H}ïöEHSo6 Y - [ \ L^ ; =Hò ó 6·>I6?687æHB>ZHS7ÍHS>>I:=ìS7o6?7JF
(93) Á : C û R[ï9cH[E:ÇH[ó Q=6?>úR[ïPF!ë6oHSQGìB68ó EfH[:ÇíQ=HS7 ìSñ H[ìS6 :G7JF!RæF!ë 6}íURS·ð Q=6UýH[Q=ìS6?ó EHµRSï4YA ^ YA :=72F!ë 6pð E!6>I6?7íU6pR[ïF!ë 6p:=<D6?7JF!:Gõ í8H[F!:=RS72R[ï >I6?7BF687JF!:ÇH[QúQG68FIF!6?E>pH[7<Ý9cH[E:=HSó Q=6?>·ñ 7< 68EÐFë 6ÁFEHS7>IQÇHcF:GRB7 1 Kú>Ðñ>Iñ H[QjA
(94) Ýí8HS7ÝóM6 6Uý;F!6?7<D6?<FR·H·9cHSQGñH[F!:=RS7
(95) F!RoF68E·>RSï/Fë 6&QÇH[7 ìBñH[ìB6ZRSï ^ Y1 @ZZ ad-68F H óM6ÍHËïöRBE!rñ Q=HA Y ó 6ÍHËïöEfH[·6BjA
(96) 8 :' C û óM6ÍH 9HSQGñ HcF!:=RS7:=79Y HS7< H[7ÐH[EERcî{:=7 Y1
(97) Ë6êF!ë687ÐëH9B6 Y
(98) = 1 H :
(99)
(100) H øIø1 d-68· H 1=÷&í8H[7}óM6&6?>IFH[óQG:Ç>Ië6?<óJòp:G7< ñíF:GRB7}RB7 H 1 % % 6 Ï:=9S6?7æHoïöEHSo6YÿH[7 <}HïöRSEÓñ QÇH H Aî6ëH9S6 Y 1 H : ^ Y 1 H ø ê÷S1 @ZZ ^ e \2 øIøIø _ MONþ1 sd!mm w d-6UFóM6H[7VHSQGìB68ó EfHµ:=7 ^ e \2
(101) ø!øIøU1ôë687F!ë68E6p:Ç>rHµïöEfH[·6 Y
(102) e \2
(103) øIøp>Iñ ífë{FëHcF ^ Y 1 5ò2F!ë6ËùRSERSQ=Q=HSE!ò 1G÷BAî6ÁëH9S6 F!ëH[F Y 1 H : ^ Y 1 H ø t÷B1ê5òFë 6oL H[ë QJ9J:Ç>IFZíURBE!E6?>!ð RB7<D6?7íU6BA Y 1 \2 1 ôë 68E6UïöRBE!6BA ^ Y 1 ø ÷SASïöRSEP6?HBífë
(104) \2 A
(105) ë 6?7íU6 ^ Y :Ç>HÏïöRS E ÓHSQGìB68ó EfH 1 L;:G7 íU6 ^ T Y ÐA î6ëH9B6
(106) MONÍ1 d-68·H 1¾ûæ>!ë :ïaFf>oF!ë. 6 Jñ 6>F:GRB7{R[ïíURBoðQG68F!6876?>>ÓïöERS ·RD< HSQQ=RSìB:=í:=7BFRÍFë 6 E!6H[Q= R[ï HSQGìB68ó EfHS>?1LDRAó;òF!ë 6rE!6?ð E6?>!687JFH[F!:=RS7F!ë 6?RSE68$R[ï ïöRS E HSQGìB68ó EfHS>?A î6ëH9S6 F!ëH[Fê6?HSífëµH[Q=ìS6?ó EfH
(107) M&N:=>:Ç>IRB·RSEð ë :ÇíúFRHrðE!RBð 6?EïöRS E pH[Q=ìS6?ó EH1 ôëJñ >8Acî6tH[E6E6?HB<DòF!RE6UF!ñE!7ÓF!RÏF!ë 6E6?HSQG RSï E68QÇHcF!:=RS7 H[QD>FE!ñ íF!ñE!6>81"ü HSífëoC 4DK :G7< ñíU6>êHrïöRS E ïöEHS·6SA HS>ïöRBQGQ=Rcîê>?1 =-óM6HúC 4DKÓA?ît:GF!ëo>FE!ñ íF!ñE!6 !#"$#%& d-6UF - ) 9. /0 ?1 $3, 4I6 /8 /: ; ! <DRSH[:=7 - : ' =/Rc9B68E 1 ôë 6?E!68ïöRSE6 : S 8 øU1"ôë 6ïöRBE ïöEfH[·6_a^Mg[ z bfgÓó;ò AS<D6?7 R[F6?< óJò Y AJ:Ç><D6Uõ76?<ó;ò Y -R: ]\ ]^ /; =U1 3ê68·68ró 6?E FëHcF:F:=>>Iñ#"í8:G6?7JF F!RrìS:=9S6 Ho>IF!EñíUF!ñ E6?<}<DRSHS:G7}F!R>!ð 6íU:GïöòHrïöRS E ïöEfH[·6S1¾ø. .
(108) Sq(Fork). BA with PFA rep FA Operators FA Relational Structures. Cm. Mod. FF Mod(Sq(Fork)). fragments/ extensions of FOL. Sq FML. Modal Logics.
(109) þ6õ7HSQGQ=ò&ëH9S6 ïöRS E ïöEHS·6?>/óHS>!6?<ÓRS7Óîtë:=ífërî6í8HS7ÓRSó FH[:=7ÓER;R[F6?<ïöRBE ·RD<D68QÇ> ïöRSEFë 6ÍíURB7>!:=>IF!6?7BF}>I68FÐR[ïïöRSEÓñ QÇHS> 1 ôë :=>Ð:=>>IR2óM6?í?H[ñ>!6µF!ë 6ËíURB7>FE!ñ íF!:=RS7ÝR[ï :G7< ñíU6<pïöRBE ÐïöEHSo6>ð E6?>!68E9S6?> F!EñDFë-AHS>î6í8HS7}>!686:=7}F!ë 6>!6 Jñ 6?Qv1 4/:=Ef>F&7 RSF!6oF!ëH[F&6?HSífëHS>>!:GìB7 ·687JF
(110) : C )YR[ï9HSE!:ÇH[óQG6>ZRSïFë 6H[Q=ìS6?ó EHS:=í Q=HS7 ìSñHSìS6ÐRSïtïöRS E 2H[Q=ìS68óEHB>:=7BFRæFë 6}C4DK A ît:Fë)<DRB·HS:G7 )Aí?H[7{óM6µ>I6?687{HB>rH 9HSQGñ HcF!:=RS7
(111) } 8 C ) _ ûA:=7µF!ë 6ïöRSE ÐïöEfH[·6&:G7 <DñíU6<Áó;ò A :G7µFë 6ÓðE!6>I6?7íU6R[ï F!ë 6&:Ç<D687JF:õ í?HcF:GRB7RSï >!687JF!6?7JF!:ÇH[QQ=6UFIF68Ef>tH[7<}9cH[E:ÇH[ó Q=6?>9;:=HrFë 6F!EfH[7>!QÇHcF!:=RS71
(112) þ6&ëH9B6ZE6?>!ñ QGF>tHS7H[Q=RSìJ> FR9d-68· H 1=÷&H[7<}:GF>tíURBE!RBQGQÇH[EòS1 @ZZ Vd-68F ó 6HÓC4DK ît:GF!ë}<DRSHS:GX 7 )ÓdA
(113) p :' 8 C ) H[7pHB>!>!:=ìS7 ·687JF ïöRSE&Fë 6Ð9cH[E:=HSó Q=6?>:=7BFRA ø&H[72H[EERcî :G7Y
(114) ZA/F!ë 6·ïöRBE ÍïöEHSo6:=7<Dñ íU6?<ó;ò A H[7< H HrïöRBE!rñ Q=H1
(115) þ6&ëH9B6úFëHcF - Y
(116) d= # ø 1 H : ø
(117)
(118) H øIøU1 d-68· H 1 ·í8H[7}óM6&6?>IFH[óQG:Ç>Ië6?<óJòp:G7< ñíF:GRB7}RB7 H 1 % % 6 A Rdk6UF óM6úHC4DK H[7< H HÏïöRBE!rñ Q=H1 ï
(119) Y 1 H ASFë 687 1 H ø ê÷S1 êR[F6æFëHcFF!ë 6ËíURS7;9B68Ef>I6ÁRSï&F!ë 62ùRSERSQ=Q=HSE!ò 1¾û2<DR;6?>p7 R[F}ë RSQÇ<AúHB>p7 RSF6?9S68Eò 9HSQGñ HcF!:=RS7:=7 Y
(120) :=>ÓH[72HS>>I:=ìS7o6?7JFÏïöRBEF!ë 6p:G7< :G9;:Ç<DñH[Q 9HSE!:ÇH[óQG6>:G7JF!RÐ1
(121) Ë6ît:GQ=Q ëH9S6ZF!ë 6í8RS7;9S6?E>!6Ï:ï Y:=>tHoïöñ Q=QkHSQGìB68ó EfH 1 êRcî î6&H[EE!:=9S6HcFFë 6&H[:=7}Q=68·HrïöRSEêí8RS·ð Q=6UF!6?7 6?>>?1 @ZZ ï }:Ç> HZí8RS7>!:=>IF!6?7JF >!6UFPR[ïïöRSEÓñ QÇHS>?AF!ë 6?7 ëHB>"HÏER;R[F!6<ïöRS E &·RD<D68Q1 sd!mm w &L;ñ ðð RJ>I6&FëHcF V:=>êí8RS7>!:Ç>F687JF?15òpF!ë 6oLDH[ë Q J9;:=>IFúíURBE!E6?>!ð RB7<D6?7íU6BA;F!ë 6?E!6&:Ç> HïöEfH[·6 Y - [ \ L^ ; =
(122) e 2 øIøA/HÐ9cH[Q=ñHcF:GRB7
(123) Í 8 C û HS7<ÍH îRBE!QÇ<
(124) E[ >!ñífë·F!ë HcF - Y
(125) d= 1 1 ôëHcF:=>?A -- Y
(126) = =:=>HER;R[F6?<o·R;< 68QRSï 1 5ò d-68·H 1=÷SA
(127)
(128) H øIøAJïöRBE HSQGQ H
(129) 1 5ò d-68·H 1¾ûDA ^ Y
(130) MONÍ1 Kê7<-ASó;ò F!ë 6E!6?ð E6?>!687JFH[F!:=RS7F!ë68RSE68 RSïDïöRS E H[Q=ìS6?ó EHB> ôë68RSE68 û 1G÷øAF!ë68E6:Ç> Hêð ERSðM68E/ïöRS E H[Q=ìS68óEH ÿHS7<ÍHS7Í:Ç>IRBoRBE!ðë :=>!Ë>Iñ ífëæF!ë HcF2 ^ Y}1rôë68E6UïöRSE6SA ø
(131)
(132) H ø!øA;ïöRSEH[Q=Q H
(133) 1P5ò d-6?··H 1 ASî6êëH9B6tF!ë HcF - Y I
(134) = ø 1 H AJïöRSE H[Q=Q H
(135) 1ôë 6?7æF!ë68E6Ó6UýD:Ç>Ff>HÐERJRSF!6<µïöRS E Á·R;< 68Q - a a = -- Y
(136) F
(137) = ø = >IñífëF!ë HcF a a 1 1. ÷.
Documentos relacionados
106,107 Para os filmes obtidos a base de gliadina, curvas características de isotermas de adsorção para os sistemas nativos e reticulados com [EDC/NHS] e L-cisteína, na presença
O sujeito discursivo, apresentado através da voz de Elizabeth Teixeira, não revela os problemas e conflitos vivenciados individualmente por ela, mas representa a voz social de todas
Os jovens integrantes desses espaços de atuação apresentam em seus relatos elementos justificadores fundados na leitura da realidade vivenciada no Lagamar, e
6 Biólogo, mestre em Botânica, pesquisador bolsista do Projeto Rede Biomassa/Fapespa, Belém, PA.. 7 Bióloga, doutora em Ciências Biológicas, pesquisadora da Embrapa Amazônia
AA – Address Authority ACA – Adaptive Configuration Agent AIPAC – Automatic IP Address Configuration AODV – Ad-hoc On-demand Distance Vector ARP – Address Resolution Protocol
Surgiram então inúmeros conceitos e formas de analisar e avaliar as organizações e a capacidade de produzir “mais com menos”, surgindo então o conceito de produtividade, que na
Em resumo, os resultados obtidos demonstram que resumos informativos tendem a: (i) manter a maior quantidade de conceitos relevantes, ou seja, possuem uma alta similari- dade e
