; TeX output 2000.09.27:1031t/rNH cmbx12Wise T{ManPuzzle(p ossiblew8orld)&~6'P8ossible T{WorldLogics|Syntax#m-`DtHGcmr171.DSame~5synYtaxasthatusedinthesen-DtenYtialapproach.,z'P8ossible8RWorldLogics|Semantics-`Ӻ1.DAssoaciateLwitheacYhinterpretation(whichDnoYw includesaset, ZgH cmmi12A,of agents)aDp ossible T{w8orld.&?-`2.DEstablish ZMarelation|theaccessi-Dbilit8ydrelation|k!",H cmsy10=A?W?nWDwhereRW denotesthesetofallpaos-DsiblewYorlds.-`3.DNoYwKwesaythatKcgq cmmi12 }istrueinsomeDpaossibleBwYorldwi i istrueineveryDwYorldtwj&suchthat<& (;%wim;wj>2Dk:κW ewritethisasju=cw/PgG cmmi12iIKc }:XQ cmr121*t/G'PWL|Key T{Axioms&Rules+'KCI*TqH lasy102(=) 䇺))(2)2 )('T@Z2=)'4;^2=)22'5;^:2=)2:2'RNX#4F rom`=inferKc }'LOS6F romξ=` gUandKc }inferKc 2Ϡt/G'P8ossible T{WorldLogics|WMP̪DtqGcmr172+-`Ӻ1.DA knoYws /thatifAdoaesn'thaYve /aDwhiteLspaot,nfBwillknoYwthatAdoaesn'tDhaYveawhitespaot.(-`2.DAƞknoYwsthatBknoYwsthateitherADorBhasawhitespaot.-`3.DAknoYwsLthatBdoaesn'tknoYwwhetherDornotBhasawhitespaot.3t/:-`Ӻ1.DKBA>(:White(A))LKBBi(:White(A)))(-`2.DKBA>(KBBi:(White(A))White(B)))-`3.DKBA>(:KBBi(White(B)))-`4.D:White(A)M))MxKBBi(:White(A))1,T-`5.DKBBi:(White(A))White(B))2,T-`6.DKBBi:(White(A))o)KBB(White(B))D5,K-`7.D:(White(A)))KBBi(White(B))4,6-`8.D:KBBi(White(B)))White(A)7-`9.DKBA>(:KBBi(White(B)))White(A))D1{5,8,LO!10.DKBA>(:KBBi(White(B))))LKBA(White(A))D9,K!11.DKBA>(White(A))3,104;t*TqH lasy10!",H cmsy10gG cmmi12gq cmmi12gH cmmi12DtqGcmr17NH cmbx12DtHGcmr17XQ cmr12 `