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SP07 cs188 lecture 7.. - Berkeley AI Materials
SP07 cs188 lecture 7.. - Berkeley AI Materials

...  This property also applies to logical and probabilistic reasoning: an important example of the relation between syntactic restrictions and the complexity of reasoning. ...
Artificial Intelligence
Artificial Intelligence

... + 100000*G + 10000*E + 1000*R + 100*A+ 10*L + D = 100000*R + 10000*O + 1000*B + 100*E+ 10*R + T ...
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Decomposition method (constraint satisfaction)



In constraint satisfaction, a decomposition method translates a constraint satisfaction problem into another constraint satisfaction problem that is binary and acyclic. Decomposition methods work by grouping variables into sets, and solving a subproblem for each set. These translations are done because solving binary acyclic problems is a tractable problem.Each structural restriction defined a measure of complexity of solving the problem after conversion; this measure is called width. Fixing a maximal allowed width is a way for identifying a subclass of constraint satisfaction problems. Solving problems in this class is polynomial for most decompositions; if this holds for a decomposition, the class of fixed-width problems form a tractable subclass of constraint satisfaction problems.
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