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5 CONSTRAINT SATISFACTION PROBLEMS

5 CONSTRAINTSATISFACTIONPROBLEMSI nwhich weseehowtreatingstatesasmore thanjustlittleblack boxesleadsto theinventionofa range ofpowerfulnew search methodsanda deeperunderstandingofproblemstructure and4 exploredtheideathatproblemscanbesolvedby searchinginaspaceofstates. Thesestatescanbeevaluatedbydomain-specif icheuristicsandtestedtoseewhetherthey ,however,eachstateis is representedbyanarbi-BLACKBOX trarydatastructurethatcanbeaccessedonlyb ytheproblem-specificroutines thesuccessorfunction,heuristicfunction, , whosestatesandgoaltestconformtoa standard,structured,andverysimplereprese ntation( ).

maximum domain size of any variable in a CSP is d, then the number of possible complete assignments is O(dn)—that is, exponential in the number of variables. Finite-domain CSPs BOOLEAN CSPS include Boolean CSPs, whose variables can be either true or false. Boolean CSPs include as special cases some NP-complete problems, such as 3SAT. (See ...

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