On the other hand, if a solver does employ solution-set-enlarging operations in the solving sequence and finds that a solution to the terminal equation is not a solution to the original equation, is this because the solution is extraneous or due to user error? One could perform an analysis...
(run, in fact, as a subfeature in the sliding block puzzle evolver) started with all possible positions and defined the goal piece to be the first piece encountered going left to right, top to bottom, across the board. As such, the search included both all the 4×4 simple^3 sliding ...
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,an such that each puzzle [Math Processing Error]ai takes [Math Processing Error]≈n“time” to solve (where the times is modeled as the number of oracle queries), and the solver learns some secret [Math Processing Error]xi. The idea is that Bob would choose at random which puzzle [...