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1、AFirstCourseinLogicThispageintentionallyleftblankAFirstCourseinLogicAnintroductiontomodeltheory,prooftheory,computability,andcomplexitySHAWNHEDMANDepartmentofMathematics,FloridaSouthernCollege13GreatClarendonStreet,OxfordOX26DPOxfordUniversityPressisadepartmentoftheUniversityofOxford.It
2、furtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship,andeducationbypublishingworldwideinOxfordNewYorkAucklandCapeTownDaresSalaamHongKongKarachiKualaLumpurMadridMelbourneMexicoCityNairobiNewDelhiShanghaiTaipeiTorontoWithofficesinArgentinaAustriaBrazilChileCzechRepublicFranceG
3、reeceGuatemalaHungaryItalyJapanPolandPortugalSingaporeSouthKoreaSwitzerlandThailandTurkeyUkraineVietnamOxfordisaregisteredtrademarkofOxfordUniversityPressintheUKandincertainothercountriesPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYorkcOxfordUniversityPress2004Themoralrigh
4、tsoftheauthorhavebeenassertedDatabaserightOxfordUniversityPress(maker)Firstpublished2004Reprinted(withcorrections)2006Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissioninwritingofOxfordUniversit
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6、oumustimposethesameconditiononanyacquirerAcataloguerecordforthistitleisavailablefromtheBritishLibraryLibraryofCongressCataloginginPublicationDataDataavailableTypesetbyNewgenImagingSystems(P)Ltd.,Chennai,IndiaPrintedinGreatBritainonacid-freepaperbyBiddlesLtd.,King’sLynn,NorfolkISBN0–19–8
7、52980–5(Hbk)ISBN0–19–852981–3(Pbk)1098765432ToJuliaThispageintentionallyleftblankAcknowledgmentsFloridaSouthernCollegeprovidedamostpleasantandhospitablesettingforthewritingofthisbook.Thankstoallofmyfriendsandcolleaguesatthecollege.Inparticular,IthankcolleagueDavidRoseandstudent