÷ƒ’À;è TeX output 1994.05.24:1405‹ÿÿÿÿ ‹ú- ıW‘ì Šn ı‘ì‘dëŞó'ò"V ó3 cmbx10ÒInstitute–2for“Language“T‘şó\ecš¦thnology“&“Arti cial“In˜telligence“(ITK)¤ ™š’gqTilburg‘2Univ•¦tersit“y¡’¤×İTilburg¡’u'ÿthe‘2NetherlandsŸ'34‘sçResearc¦thers¡‘sçó"Kñ`y ó3 cmr10ÍP•²!eter‘¦fFlac“h.©34‘sçÒILP‘2Areas¡‘sçÍILP–¦ftheory‘ÿe,“Induction“of“in•²!tegrit“y›¦fconstrain“ts,˜Predicate˜in“v“en“tion.¦‘sçÒDescription–2of“Researc¦th¡‘sçÍThe–¼×w²!ork“on“ILP›¼Ñdone“at“ITK˜concenš²!trates“on“t˜w˜o“main“topics:‘ ¿a“logical“theory“of“induc-¡‘sçtivš²!e–1Éreasoning,‘T¡and“the“disco˜v˜ery“of“regularities“in“data“(w˜eak“induction).‘€The“ rst“topic¡‘sçaims–‚Äat“proš²!viding“a“unifying“framew˜ork“for“di eren˜t“kinds“of“induction,‘¹Ûand“at“studying¡‘sçthe–•2relationships“bMŞet•²!w“een–•2them,‘˜£and“with“other“kinds“of“reasoning.‘Ø!The“second“topic“is“di-¡‘sçrected›ä¯to•²!w“ards˜methoMŞds˜for˜inducing˜non-classi cation˜rules,‘ôAsuc“h˜as˜in“tegrit“y˜constrain“ts.¡‘sçThese›H)t•²!w“o˜topics˜are˜closely˜related,‘[since˜a˜unifying˜framew“ork˜for˜w“eak˜induction˜and˜the¡‘sçclassi cation-orienš²!ted–¦fnotion“of“strong“induction“doMŞes“not“y˜et“exist.¡‘-sçThe–Ølogical“theory“of“induction“under“dev•²!elopmen“t›Ørev“olv“es˜around˜the˜notion˜of˜an¡‘sçinductivš²!e–ËÅconsequence“relation.‘MúIn“[2‘yš]“a“n˜um˜bšMŞer“of“useful“prop˜erties“of“suc²!h“a“consequence¡‘sçrelation–Ais“idenš²!ti ed.‘mIn“[5‘yš]“a“minimal“set“of“propMŞerties“of“inductiv˜e“consequence“relations¡‘sçis›è iden•²!ti ed.‘¢ÊConsequen“tly‘ÿe,‘øsstrong˜and˜w“eak˜induction˜can˜b•MŞe˜seen˜as˜sp“ecial˜cases˜of˜this¡‘sçcanonic–1tš²!ypMŞe“of“induction.‘<>Curren˜t“w˜ork“aims“at“dev˜eloping“a“moMŞdel-theoretic“accoun˜t“of¡‘sçinductiv²!e–¦fconsequence“relations.¡‘-sçThe–D@wš²!ork“on“disco˜v˜ery“of“regularities“in“data“started“with“a“study“of“induction“of“at-¡‘sçtribute–2depšMŞendencies“in“relational“databases“[1‘yš].‘‚RIn“co˜op˜eration“with“the“Jo²#‘úÔCzef“Stefan“In-¡‘sçstitute–ŠZthe“algorithm“for“inducing“functional“depšMŞendencies“has“b˜een“impro•²!v“ed‘ŠZconsiderably¡‘sç[3‘yš].‘Ï‹F‘ÿeuture–{owš²!ork“includes“impro˜ving“the“m˜ultiv‘ÿdDalued“depMŞendency“algorithm“along“the“same¡‘sçlines.‘“Building–âÌon“this“wš²!ork,‘1åa“protot˜ypšMŞe“system“called“INDEX‘â{has“b˜een“implemen²!ted,¡‘sçwhicš²!h–Ÿ…restructures“a“kno˜wledge“base“on“the“basis“of“induced“attribute“depMŞendencies.‘Û’Since¡‘sçthe–õrestructured“knoš²!wledge“base“will“con˜tain“predicates“not“presen˜t“in“the“original“kno˜wl-¡‘sçedge–Â=base,‘ 2this“also“resulted“in“a“new“approacš²!h“to“predicate“in˜v˜en˜tion“through“in˜tegrit˜y¡‘sçconstrain²!ts‘¦f[4‘yš].¦‘sçÒRecen¦tt‘2Publications¡‘!íÍ[1]‘2ö P‘ÿe.›ã&Flac•²!h.‘’„Inductiv“e˜c“haracterisation˜of˜database˜relations.‘’„In˜Z.W.˜Ras,‘ 2M.˜Zemank“o“v‘ÿdDa¡‘2ö &–¡ÎM.L.“Emric²!h“(eds.)“ó%ı': ó3 cmti10ĞPr–ÿp¹o“c.›æ°Metho“dolo“gies˜for˜Intel‘Fligent˜Systems˜ISMIS'90Í,‘¢¹371{378,¡‘2ö North-Holland,–ÂÚAmsterdam,“1990.‘ ã4F‘ÿeull–VÃvš²!ersion“appMŞeared“as“ITK‘VTResearc˜h“RepMŞort¡‘2ö No.‘¦f23.¡‘!í[2]‘2ö P‘ÿe.›qfFlac•²!h.‘ 2“A‘pğframew“ork˜for˜Inductiv“e˜Logic˜Programming.‘ 2“In˜S.˜Muggleton˜(ed.)¡‘2ö Inductiv²!e–¦fLogic“Programming,“193{211.“Academic“Press,“London,“1992.¡‘!í[3]‘2ö I.–{ïSaš²!vnik,‘±QP‘ÿe.“Flac˜h.‘WBottom-up“induction“of“functional“depMŞendencies“from“relations.¡‘2ö In–¤iG.“Piatetsky-Shapiro“(ed.)“ĞPr–ÿp¹o“c.–ÔšAAAI'93“Workshop“on“Know‘Fle›ÿp¹dge“Disc˜overy“in¡‘2ö Datab‘ÿp¹asesÍ,–¦f174{185,“1993.¡‘!í[4]‘2ö P‘ÿe.–å Flacš²!h.‘—+Predicate“in˜v˜en˜tion“in“inductiv˜e“data“engineering.‘—+In“P‘ÿe.“Brazdil“(ed.)“ĞPr–ÿp¹o“c.Œ‹* ‹ú- ıW‘ì Šn ı‘ì‘2ö ĞEur–ÿp¹op“e“an›Confer“enc“e˜on˜Machine˜L“e“arning,‘uECML'93Í,‘ƃLecture–ÀNotes“in“Arti cial“In-¤ ™š‘2ö telligence,–¦fV›ÿeol.“667,“83{94.“Springer-V˜erlag,“1993.¡‘!í[5]‘2ö P‘ÿe.–]Flacš²!h.‘¿ÇA‘]omoMŞdel“of“inductiv˜e“reasoning.‘¿ÇIn“M.“Masuc˜h“&“L.“P˜olos“(eds.),‘lĞKnow‘Fle‘ÿp¹dge¡‘2ö R–ÿp¹epr“esentation–êêand“R–ÿp¹e“asoning–êêunder“Unc‘ÿp¹ertaintyÍ,–¦fSpringer-V‘ÿeerlag,“Berlin,“1994.Ÿ34‘sçÒCon•¦ttact‘2P“erson¡‘sçÍPš²!eter–¦fA.“Flac˜h¡‘sçInstitute–¦ffor“Language“T‘ÿeecš²!hnology“&“Arti cial“In˜telligence¡‘sçTilburg‘¦fUniv•²!ersit“y¡‘sçPOBo²!x‘¦f90153¡‘sç5000–¦fLE“Tilburg¡‘sçthe‘¦fNetherlands¡‘sçPhone:‘İİ+31–¦f13“663119¡‘sçF‘ÿeax:‘İİ+31–¦f13“663069¡‘sçE-mail:‘İİ ac²!h@kub.nlŒøƒ’À;è‹ú-Οó'ò"V ó3 cmbx10ó%ı': ó3 cmti10ó"Kñ`y ó3 cmr10ùMßßßßßßß