Studies on the logic of automatic computation: incremental data assimilation in man-computer systems
Lionello A. Lombardi · DSpace@MIT (Massachusetts Institute of Technology) · 2011
Usssschiisatts Instituta of TechnoJ.ogySUilHARY T1t3 nain pjs-5b.l's.r;:ariiy3^?it^;^i2 as orpcitis for iiicr-csjental dcta sssi/iTsilation •j:hro»:i5h adaptivaly gs-owing and ineraaentally GCKlifi- able aigorithsjso Accordingly ^basic r^sear-ch is boing carried ouv en designing n-w fouKdatlons for> the? icgic of a«tc;.iati.cdij;ital cca-vjtationo '"his pspar-corjsists of two pr-sliaitiary probes into ths idsd of ths "xnc5r's;a£n1:ai dsclarativs^CGtsput£r'"i:H bciids for a poijsibia solution to this probi'Sajo l^ha first pes't is davotod to d^jvcdoping ths synt^^: cf a prcgrsssaing lar.guaga for such ccraputor baaed on 3 rav5.sion of Karl Kongsp's notation* llsough it haa b^-^fin r^c^ntly dc-^ci-Jcd to discss-d this nctatiori snd rt-plsfie it by a Giibstsr.ticillytss;?cr.a.. to t.'hid-s tha hansn ifs ko^'S irijTjsdist-aiy rsspotisivaj still this f£i^.tpai't uhould ha ccnsidarxid asj an car'iy version cf the fi5-3t chsptGr-cf the bosk davotsd to thsi dsvaXop-riSr.t of e> r.-xj craipi.tc.vj.on philosophy, th£;t this cuthoi" ia writing c Tr.s ascend par-'w ( ccs-sraspcidinw to the accorsd cheptss' of th-s book) pracGnts e2 nsw kind of n:3soi''y or-^aniaation bssad on t:io idaas of Mswclit Shcvj and Siasn^but «.:h&k--9 such idsas sr-a revised in a way to en.sblo tha ccnputcz" to acan ssyirbolic eKprassicns isibaddad in iistn irl.^ht to left (Io'S^b --'^t"s cj'tiimdad L>i'-a;3i6'.-7ic2s-anr^a)^ ifhich wcrJ.dnot ba siuy if tha li-LV, LIS? or FL?L .list-atr-uctui-adI'saory ori^enisaticn «as^a odop-tcdo Tnare sr-s hfer-a no hiuts to the othax' cheptera, clevotsd to th« dsasign of tha control unit of the ticn-j ccsnp-ater a-ad racm'aivs fitnations of s;^':3i3olic sripraasicns^its inr-jut-oiitput sy:3t€rSj algov-ithna to cs-Ci'dinate tha infcsviation ficy^randccs scvC-saaiiig end infoi-^iiticn si'atris^'alj, and idaritifictsticn of pji?2:i;3-i:ar3 to dcacilba cs-apiit*?syatess qua'iititatirely j, z'-ss^scti^-^aiy., Jar.viSEV 30.iS53 Ttils c.^i-^^r.f'-r Ih aevcteo.to ivxrcKincing, « prlfsttive alphabet ..r Cir^,'-.-., : : '••soiiaiiing rules by s*s «"'r'e sp'-:=~e :.. u'3«ing the detgchaent c .forn3 up.y oro.e'ed co-iple cf fcras iat-o a :-(ra one iietacliS'Sut is the basic opsx'ation of this theory, xixe aecantict belti^aefiae--] Ic tenss of reccx'sive detscanjeatSo Ito Diost important prop-iJ-v -!>^-jt.generaH , !.;a]-i;b^!.\-'- pnesent.ed in thj.s chapter is restric'ced to a p.re- '7-.-= •:.-.> of sarl-ce vb-it^i.lsaecess&ry Toi introducing foriiiis- • jc/; ryl&6 gad eiesjeiitary ev.*2luation ffi-:?tccxi6,Lnter on the be 3Xt«ndsd in order to aliou i'or mcjxe cnrcpact -of fuiict-Jons and raore gereral evaiastiori asethods^ C^tistfiDii; 2«Y bs c-r fw .^finite 3*j.3uence^of de.' fb-ev =-'v ;; •. vhey ^5:« t&lsien r^cttsi'^t of Vln3t«?, dlglt«j, at Ieai*fc.c , rntlot.\£.i, (r«pr«S'--;nt.«^.l :;« , Alpha -riijastlc.cor!fc:'?.' arid dftcloisl :yi: a welt sstsbll^tvi': a«fi them ?\i.rt.Uf^' !* herx Thcra air* six ^^perstiv?r^sa:- ^"^c od Yj ^Cii lei vv( • iv -her 1 nt r ctji ucc ^ I^iBtly, both ccJi'^.^.v • -;• .:v'^'^r* r<-pr';!.»^f