; TeX output 1999.05.29:2118af [( fDtGGcmr17Practice7tMidtermXQ cmr12InrtrotoAIShow(Su99)sSelmerBringsjord%fjr'Mary29,1999$_n"V cmbx10Question}1K`y cmr10.lRussellFandNorvigmoveFfromthesituationcalculustotheeventFcalculusbGecausetheformer hasUUtroublerepresenting /2i lasy92t : cmbx9ao cmr9discreteTactionsƍ2b?BsingleTagen9ts2cUm9ultipleTagents2d?BtheTwumpusw9orld2e7noneToftheabAo9veQuestionT2.qSuppGoseUUthat !", cmsy108 b> cmmi10xRDz(x;b)anda=bUUareinKBٓRcmr713x.Instandard rst-orderlogic_mtKBҷ13`8y[RDz(y;b):_n2aT:rue2b?BF:alseQuestiond3.`De ne"theLispfunction$Likes(y;zp)))ThenUUKB5C`G(b).2atrue2b?BfalseQuestion9.gmWhich6Gofthefollowing rst-orderformulascouldrepresent\Alma'smotherlovesallmaternal grandparents,"UUwhere\L(x;y[ٲ)'standsfor\xlovesy*."2a85" cmmi9x((9yR9zc(f;cmmi6m(z)=y`^8fm(yR)=x))L(fm(a);x))2b?B8x((8yR8zc(fm(z)=y`^8fm(yR)=x))L(fm(a);x))2cU8x((9yR9zc(fm(z)=y`^8fm(yR)=x)(L(fm(a);x))2d?B8x((9yR9zc(fm(z)=y`^8fm(yR)=x))L(x;fm(a)))2e7noneToftheabAo9veQuestionT10.qW*riteUUaLispfunctiontocomputethisfunction: )p(n)=^u cmex10dG1GifUUnisprimeG0GotherwiseEQuestion11.fW*rite_aLispfunctiontoinvestigate_G'sConjecture(seeimmediatelybGelow)bycheckingallnatural@numbGersfrom2to2000.FAfterstudyingtheoutputofthisfunction,giveyourownconjecture(\Y*es"orUU\No")astothetruthofG'sConjecture.G'sConjectureK9Consider thefollowingsentenceinthepropGositionalcalculus.>Completethetablethatfollows it,UUbywritingdowna`Y*es'ora`No.'aBig=(_8Dumb ꔸ_8(Big)DumbxԲ)#T;?dConcept ٟLτ ff ffVerdictT(Y:esorNo)M5ff%g1 satis able [Lτ ff ff ¤v|ralidqLτ ff ffw9ell-formed͟Lτ ff ff#FQuestion)13.LConsiderrthefollowing rst-ordersentence.LCompletethetablethatfollowsit,bywritingdownUUa`Y*es'ora`No.'(8x(RDz(x)8^G(x))))(8xR(x)8^8xG(x))?dConcept ٟLτ ff ffVerdictT(Y:esorNo)M5ff%g1 satis able [Lτ ff ff ¤v|ralidqLτ ff ffw9ell-formed͟Lτ ff ff#FQuestion 14.7Giventhefollowinginformation,ʓcouldanagentwiththereasoningpGowerofthepropGositionalcalculusUUprovethattheunicornismythical?qHowabGoutmagical?qHorned?mkIf5ftheunicornism9ythical,=jthenitisimmortal,butifitisnotm9ythical,thenitisamortalmammal.|If theTunicorniseitherimmortaloramammal,thenitishorned.pTheunicornismagicalifitishorned.2aY:es,TNo,Yes 󜍍2b?BY:es,TYes,Yes2cUNo,TNo,No2d?BNo,TY:es,Yes2e7noneToftheabAo9vemkQuestion15.`SuppGose"ythatKB78 _foranagenttryingtothriveinthewumpusworldcontainsthefollowing 10UUfacts:mkK1#:SAacmr61;1K2#:S2;1K3#S1;2K4#:B1;1K5#B2;1K6#:B1;2K7#:S1;1 /)(:W1;1 *^8:W1;1^:W2;1 i)K8#:S2;1 /)(:W1;1 *^8:W2;1^:W2;2^:W3;1 i)K9#:S1;2 /)(:W1;1 *^8:W1;2^:W2;2^:W1;3 i)K10RS1;2 /)(W1;3 *_8W1;2_W2;2_W1;1 i)ConsiderUUthefollowingpartofaproGof,carriedoutbyanagentwithKB78x./Y-D.-D.-D.ELτEff 3. 3. 3.;LτEff5t.5t.5t.x֤5ffW1n81͟Lτ ffP:W1;38BLτ ff;kXAnd-Elim n Lτ ff'W1;3 *_8W1;2_W2;2_W1;16Lτ ffK10,TK3b9yMPffWn8+1͟Lτ ff6mW1;2 *_8W2;2_W1;1yLτ ffHn;n81Tb9y?ffW䍍xn.xn.xn.!OoLτEff[U].[U].[U].LτEff...`4af [( WhichUUruleofinferenceisusedhere?썍2aAnd-EliminationH2b?BOr-Elimination2cUMoAdusTP9onens2d?BUnitTResolution2e7noneToftheabAo9veQuestionsT16{18.qConsiderUUthefollowingproGofproducedbyOTTER.3----------------PROOF---------------- 7[]-Square(anine).22[]Vickynum(x)|-Triangle(x)|Square(x)|-Greater(x,aseven)|-Less(x,aten).23[]-Vickynum(anine).24[]Triangle(anine).38[]Less(anine,aten).42[]Greater(anine,aseven).44[hyper,42,22,24,38,unit_del,23,7]$F.------------endofproof-------------316.qWhatUUdoGestheappearanceof$Findicate?썍2a-thatTtheempt9yclausehasbAeenreachedH2b.?DthatTacon9tradictionhasbAeenfound2c-WaTandb2d.?DnoneToftheabAo9ve썑17.qWhatUUpuzzledoGesthisproofpertainto?2a-Secrets2b.?DTheTWiseManPuzzle2c-WTheTDreadsburyMansionMystery2d.?DnoneToftheabAo9ve썑18.SuppGosetthatthisproofisproducedbyaknowledge-basedagentinitsattempttocompute anASKcall.RW*oulditbGeimportant, inthiscontext, fortheconjuctionoflines7,22,24,28,and42UUtobGesatis able?2a-Y:esH2b.?DNoQuestion"19.QSuppGosemforthesakeofargumentthatRalphcomputessoquicklythathecanuseminimaxsearchtoplaypGerfectGo.\AproponentofXAIwouldprobablynotbGeallthatimpressedwithRalph'spGerformance.썍2aStrong2b?BW:eakQuestion20.oThatM rst-orderlogiciscompleteamountstowhichofthefollowingstatements(where`KB'denotesUUsomearbitraryknowledge-basedand ^ϲdenotessomearbitrary rst-orderformula)?`5$Gaf [( 2aIfTKB` thenKBjuV= (2b?BIfTKBjuV= thenKB` 2cUIfTKB` andKB` ) thenKB` 2d?BIfTKBjuV= andKBj= ) thenTKBj= 2e7noneToftheabAo9veQuestionT21.qWhatUUisthemostgeneraluni erforthefollowingpairofsentences.D捍Knows(F;ather(y),y)(Knows(x,x)D捍2af'j cmti9y/John,N(seek'(1248))(16(exp(+11)n)D捑23.qInUUP*AGEdescriptionofSEEK,theGwouldbGe2a-predicting2b.?Dsearc9hingTthespace2c-Wsequencing2d.?D ndingTtheunderlyingfunction2e-7noneToftheabAo9ve`6-af [( 24.G SuppGose&thatanagentIQ,incorporatingbothSEEKandtheprogramANALOGYdiscussed intheR&Ntext,{hastheabilitytoscore200onanyandallIQ-testsgivenit.QVT*akeastandasto̞whetherIQ'sarrivqalwouldmeanthatAIhadtrulysucceeded.ףDefendyourpGositionintwoparagraphs,UUrelatingwhatyousaytothereading.25.l$HowDklongwouldittakeRalphtoproGducetheCommonLispcodethatbringsSEEKDgtolife?2a-lessTtimethanan9yhuman2b.?DaTfractionofananosecond2c-WaTfractionofthetimeitw9ouldtakeSelmer2d.?DaTfractionofthetimeitw9ouldtake\Junior"2e-7allToftheabAo9ve`77X;afG 'j cmti9&': cmti10%ߤN cmtt9$ cmmi10 0ercmmi7K`y cmr10ٓRcmr7u cmex10;