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Cellular Automata Generalized to an Inferential System：元胞自动机广义推理系统.ppt

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,SaratogaSprings,NewYork,11July2007MotivationWhyisitimpossibletopredictthebehaviourofacellularautomaton?TheMotivatingQuestionButisn’tthequintessentialfeatureofprobabilitytheoryandinferentialsystemstheabilitytopredictfutureevents??BecauseCellularAutomataareastand-?ThefollowingfewslidesonBooleanAlgebraaresolelytosetthestageforanalogousoperationswithclassicallogicfunctions(andcellularautomata).SomeBasicBooleanQuestionsHowareBooleanfunctionsdefined?HowaresyntacticallycorrectBooleanformulasproduced?WhatisagoodcanonicalexpressionforBooleanfunctions?WhyIsItHelpful?UsefulforbothlogicfunctionsandcellularautomataAxiomsofBooleanAlgebrausedinBayes’plicatedlogicandCArules

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