problem space
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The notion of space consisting of all posible states of the model/variables involved in the problem.
1. example
The problem space of getting home is every possible location on earth, or every possible path on earth, basing on how you formulate the problem in mathematical model
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Assume a current state \(C\) and goal state \(S\), define a difference/distance between the 2 states \(d\). With previously known operator \(o\), a transition can be made from \(C\) to an intermediate state \(I\).